Financial service of wealth management banking: balanced scorecard approach.INTRODUCTION Taiwan's economic and financial markets have experienced dramatic changes in recent years. Additionally, the organizational structure To comply with Wikipedia's lead section guidelines, one should be written. of the wealth management service sector has improved as banks have implemented management practices that have helped to increase their competitiveness. In such an intensive environment, selecting a performance measurement of wealth management banking has become a priority. During the process of selecting a wealth management bank, apart from legal issues, policymakers and business groups seldom consider potential factors that could impact a bank's competitiveness. Many business organizations have found the Balanced Scorecard Balanced Scorecard A performance metric used in strategic management to identify and improve various internal functions and their resulting external outcomes. The balanced scorecard attempts to measure and provide feedback to organizations in order to assist in implementing to be a valuable tool in performance and strategic management (7), (8), (9), (10). The objective of this study is to examine the value of Balanced Scorecard in the organizational performance Organizational performance comprises the actual output or results of an organization as measured against its intended outputs (or goals and objectives). Specialists in many fields are concerned with organizational performance including strategic planners, operations, of wealth management banks and to describe an analytic an·a·lyt·ic or an·a·lyt·i·cal adj. 1. Of or relating to analysis or analytics. 2. Expert in or using analysis, especially one who thinks in a logical manner. 3. Psychoanalytic. hierarchy framework that can be used to evaluate scorecards of departments and programs within wealth management banks and the organizational performance of wealth management banks as a whole. The Technique for Ordering Preference by Similarity Similarity is some degree of symmetry in either analogy and resemblance between two or more concepts or objects. The notion of similarity rests either on exact or approximate repetitions of patterns in the compared items. to the Ideal Solution (TOPSIS TOPSIS Technique for Order Preference by Similarity to Ideal Solution ) was first developed by (2), based on the concept that the selected alternative should have the shortest distance from the positive ideal solution and the farthest from the negative-ideal solution for solving the MCDM MCDM Multiple Criteria Decision Making MCDM Master of Communication in Digital Media (University of Washington) MCDM Medical Chemical Defense Materiel MCDM Meridian Cabinet Digital Module problem. Thus, the best alternative should not only have the shortest distance from the positive ideal solution, but also the longest distance from the negative ideal solution. In short, the ideal solution comprises all of the optimum criteria values, whereas the negative ideal solution comprises all the least optimal criteria values. However, the results vary according to according to prep. 1. As stated or indicated by; on the authority of: according to historians. 2. In keeping with: according to instructions. 3. period, modeling and approach. In the proposed AHP AHP Assistant House Physician. model, the dimensions of the organizational performance for the wealth management banks have been taken from the four perspectives of the Balanced Scorecard, thus balancing as well as linking the financial and non-financial, tangible and intangible, internal and external factors. Therefore, the proposed framework provides a holistic approach holistic approach A term used in alternative health for a philosophical approach to health care, in which the entire Pt is evaluated and treated. See Alternative medicine, Holistic medicine. to the selected Multi-Criteria Decision-Making decision-making, n the process of coming to a conclusion or making a judgment. decision-making, evidence-based, n a type of informal decision-making that combines clinical expertise, patient concerns, and evidence gathered from (MCDM) problem for wealth management banks. Next, a case identifies proposal model using AHP and the TOPSIS technique to evaluate wealth management banks' organizational performance. This proposal further combines the concepts of the AHP and TOPSIS models to evaluate and rank wealth management bank performance. The AHP and TOPSIS-based decision-making method for constructing an evaluation method can provide bank decision makers or administrators with a valuable reference for evaluating the organizational performance. Importantly, the proposed model can provide Taiwan's bank accreditation accreditation, n a process of formal recognition of a school or institution attesting to the required ability and performance in an area of education, training, or practice. policy a reference material, making it highly applicable for bank administrators and financial sector analysts. MATERIALS AND METHODS The AHP Methodology: Analytic Hierarchy Process The Analytic Hierarchy Process (AHP) is a technique for decision making where there are a limited number of choices, but where each has a number of different attributes, some or all of which may be difficult to formalize. (AHP), which is a technique of Multi-Criteria Decision Making (MCDM), was developed by Saaty in 2000. AHP is used to solve complex decision-making problems in different areas, such as maintenance selection problem (16), selection of location (13), (14), (15), measuring performance (1), (14), allocating resources (17), choosing the best policy after finding a set of alternatives (18). As a decision method that decomposes a complex multi-criteria decision problem into a hierarchy (11), AHP is also a measurement theory that prioritizes the hierarchy and consistency of judgmental judg·men·tal adj. 1. Of, relating to, or dependent on judgment: a judgmental error. 2. Inclined to make judgments, especially moral or personal ones: data provided by a group of decision makers. AHP incorporates the evaluations of all decision makers into a final decision, without having to elicit e·lic·it tr.v. e·lic·it·ed, e·lic·it·ing, e·lic·its 1. a. To bring or draw out (something latent); educe. b. To arrive at (a truth, for example) by logic. 2. their utility functions on subjective and objective criteria, by pair-wise comparisons of the alternatives (12). The TOPSIS Methodology: The TOPSIS was first proposed by Hwang Hwang can refer to:
The balanced scorecard: Kaplan Kaplan may refer to one of the following:
American educator, writer, and editor who founded the Nation (1865). (5), (6), (8) presented the Balanced Scorecard concept in a series of articles published in the Harvard Business Review Harvard Business Review is a general management magazine published since 1922 by Harvard Business School Publishing, owned by the Harvard Business School. A monthly research-based magazine written for business practitioners, it claims a high ranking business readership and . They argued that traditional financial accounting measures such as return-on-investment and payback period Payback Period The length of time required to recover the cost of an investment. Calculated as: analysis (4), (8) offer a narrow and incomplete picture of business performance and that reliance on such data hinders the creation of future business value. Accordingly, they suggest that financial measures can be supplemented with additional ones that reflect customer satisfaction, internal business processes and the ability to learn and grow. The Balanced Scorecard was designed to complement "financial measures of past performance with measures of the drivers of future performance" (8). Of the four key performance perspectives of the Balanced Scorecard, only one involves standard financial performance indicators, whereas the other three involve non-financial performance measurement perspectives: customer satisfaction, internal business processes and learning and growth capacities. These four perspectives constitute the framework of the Balanced Scorecard (Fig. 1). [FIGURE 1 OMITTED] Evaluation model: The evaluation procedure of this study consists of several steps as shown in Fig. 2. The first step is to identify the multiple criteria that are considered in the decision making process for the decision makers to make an objective and unbiased decision. The Delphi method The Delphi method is a systematic interactive forecasting method for obtaining forecasts from a panel of independent experts. The carefully selected experts answer questionnaires in two or more rounds. is adopted here not only to accumulate Accumulate Broker/analyst recommendation that could mean slightly different things depending on the broker/analyst. In general, it means to increase the number of shares of a particular security over the near term, but not to liquidate other parts of the portfolio to buy a security expert opinions, but also to identify the determinants of the integrated marketing communication-based model. After constructing a criteria framework, the criteria weights can be calculated by using AHP. Finally, we conduct a TOPSIS approach to achieve the final ranking results. The detailed descriptions of each step are elaborated in each of the following sub-criteria. [FIGURE 2 OMITTED] Establish an evaluate model and define the evaluative criteria: Using the Delphi method, a consensus among experts on establishing a model can be reached. The ultimate goal of evaluating the ideal organizational performance can be achieved, following the identification of four evaluation criteria, nineteen sub-criteria and finally, the alternatives (Fig. 3). [FIGURE 3 OMITTED] The evaluation criteria and sub-criteria used to evaluate the organizational performance are defined as follows: Financial perspective: Financial perspective refers to a wealth management bank's revenue during the operation time, including handling charge/revenue, customer market share ratio, capacity for profitability and management assets (suggested by bank administrators and academicians): * Handling charge/revenue: Wealth management bank's revenue gained by selling the customer's product * Customers market share ratio: Reflects the proportion of business in a given market (in terms of the number of customers, dollars spent, or unit volume sold) that a business unit sells * Capacity for profitability: The various products and projects created by wealth management banks that serve to increase their capacity for profitability * Management assets: Management assets are a very important factor in Taiwan's wealth management banking sector Customer perspective: Factors involving the customers of wealth management banks include customer acquisition, VIP-certified financial services The examples and perspective in this article or section may not represent a worldwide view of the subject. Please [ improve this article] or discuss the issue on the talk page. (suggested by bank administrators and academicians), customer profitability Customer profitability (CP) is the difference between the revenues earned from and the costs associated with the customer relationship in a specified period. According to Philip Kotler,"a profitable customer is a person,household or a company that overtime,yields a revenue , customer confidence and customer retention (8). * Customer acquisition: Measures, in absolute or relative terms, the rate at which a business unit attracts or wins new customers or business. * VIP-certified financial service: The provision to customers of complete VIP-certified financial services * Customer profitability: Measures the net profit of a customer, or of a segment, after allowing for the unique expenses required to support that customer or segment * Customer confidence: Wealth managers improve the VIP service for new customers and assure them confidentiality * Customer retention: Tracks, in absolute or relative terms, the rate at which a business unit retains or maintains ongoing relationships with its customers Internal business process perspective: Wealth management bank performance measurement, organization, management practices and competitors all influence the following factors: lead in innovation system programming, certified See certification. financial integration platform for professionals, operating quality for a group of customers, internal customer satisfaction and management stratum stratum /stra·tum/ (strat´um) (stra´tum) pl. stra´ta [L.] a layer or lamina. stratum basa´le support (suggested by bank administrators and academicians). * Lead in innovation system programming: Measures how well a wealth management bank accedes to innovation system programming in accordance Accordance is Bible Study Software for Macintosh developed by OakTree Software, Inc.[] As well as a standalone program, it is the base software packaged by Zondervan in their Bible Study suites for Macintosh. with the wealth manager's professional knowledge and ability * Certified financial integration platform for professionals: The wealth management bank provides the certified financial integration platform for professional VIP customers * Operational quality for a group of customers: The administration of the operational quality for a * group of customers requires professional CEO (1) (Chief Executive Officer) The highest individual in command of an organization. Typically the president of the company, the CEO reports to the Chairman of the Board. and wealth managers * Internal customer satisfaction: The internal customer satisfaction index was constructed through monthly surveys of randomly selected customers in the wealth management bank's targeted segments * Management stratum support: To obtain the executive manager's support Learning and growth perspective: The factors comprising the learning and growth perspective include wealth manager's professional knowledge and growth, education and training of wealth management team, wealth manager's scale of team, wealth manager's complaint system and appropriateness of performance policy for rewards and punishments. * Wealth managers' professional knowledge and growth: The wealth management bank develops the wealth manager's professional knowledge and techniques * Education and training of wealth management team: This includes wealth management knowledge, the use of teleconferencing and the attainment of basic professional certificates * Wealth manager's scale of team: The bank provides a complete wealth manager's scale of team for the customer service system * Wealth managers' complaint system: The banks provide the complaint system for wealth managers * Appropriateness of performance policy rewards and punishments: Herzberg's motivation theory (1966) argued that there must be a link among striving, performance and remuneration REMUNERATION. Reward; recompense; salary. Dig. 17, 1, 7. . Academicians have also indicated that linking bounty bounty, payment made by a government bounty, amount paid by a government for the achievement of certain economic or other goals. It often takes the form of a premium paid for the increased production or export of certain goods. , remuneration and performance to the performance bonus system can enable wealth managers to work more effectively with increased motivation Determine the weight of criteria by using AHP: As a decision method that decomposes a complex multi-criteria decision problem into a hierarchy (11), AHP is also a measurement theory that prioritizes the hierarchy and consistency of judgmental data provided by a group of decision makers. AHP incorporates the evaluations of all decision makers into a final decision (1), (3), (14), (15), without having to elicit their utility functions on subjective and objective criteria, by pair-wise comparisons of the alternatives (12). AHP is made in the framework of a matrix and a local priority vector can be derived as an estimate of relative importance associated with the elements (or components) being compared by solving the following formulae: A * w = [[lambda].sub.max] * w (1) Where: A = The matrix of pair-wise comparison w = The eigenvector (mathematics) eigenvector - A vector which, when acted on by a particular linear transformation, produces a scalar multiple of the original vector. The scalar in question is called the eigenvalue corresponding to this eigenvector. [[lambda].sub.max] = The largest Eigenvalue eigenvalue In mathematical analysis, one of a set of discrete values of a parameter, k, in an equation of the form Lx = kx. Such characteristic equations are particularly useful in solving differential equations, integral equations, and systems of of A Saaty (11) proposed utilizing Consistency Index (CI) and Consistency Ratio (CR) to verify (1) To prove the correctness of data. (2) In data entry operations, to compare the keystrokes of a second operator with the data entered by the first operator to ensure that the data were typed in accurately. See validate. the consistency of the comparison matrix. CI and RI are defined as follows: C.I. = [[[[lambda].sub.max] - n]/[n - 1]] (2) CR = [[CI]/[RI]] (3) where, RI represents the average consistency index over numerous random entries of same order reciprocal Bilateral; two-sided; mutual; interchanged. Reciprocal obligations are duties owed by one individual to another and vice versa. A reciprocal contract is one in which the parties enter into mutual agreements. matrices. If CR[less than or equal to]0.1, the estimate is accepted; otherwise, a new comparison matrix is solicited until CR[less than or equal to]0.1. Determine the wealth management banks' organizational performance by using TOPSIS: The TOPSIS was first proposed by (2). The underlying logic of TOPSIS is to define the ideal solution and the negative ideal solution. The ideal solution is the solution that maximizes the benefit criteria and minimizes the cost criteria; whereas the negative ideal solution maximizes the cost criteria and minimizes the benefit criteria. The optimal alternative is the one, which is closest to the ideal solution and farthest to the negative ideal solution. The ranking of alternatives in TOPSIS is based on 'the relative similarity to the ideal solution', which avoids from the situation of having same similarity to both ideal and negative ideal solutions. The calculation processes of the method are as following: Establish a Decision (D) matrix for alternative performance: [MATHEMATICAL EXPRESSION A group of characters or symbols representing a quantity or an operation. See arithmetic expression. NOT REPRODUCIBLE re·pro·duce v. re·pro·duced, re·pro·duc·ing, re·pro·duc·es v.tr. 1. To produce a counterpart, image, or copy of. 2. Biology To generate (offspring) by sexual or asexual means. IN ASCII ASCII or American Standard Code for Information Interchange, a set of codes used to represent letters, numbers, a few symbols, and control characters. Originally designed for teletype operations, it has found wide application in computers. ] (4) Where: [A.sub.i] = The possible alternatives, i = 1, ..., m [X.sub.j] = Attributes or criteria relating to relating to relate prep → concernant relating to relate prep → bezüglich +gen, mit Bezug auf +acc alternative performance, j = 1, ..., n [X.sub.ij] = a crisp value indicating the performance rating of each alternative Ai with respect to each criterion [X.sub.j]. Normalizing the D matrix: Calculate the normalized decision matrix R (= [[r.sub.ij]]). The normalized value [r.sub.ij] is calculated as: [r.sub.ij] = [[X.sub.ij]/[square root of [[[summation summation n. the final argument of an attorney at the close of a trial in which he/she attempts to convince the judge and/or jury of the virtues of the client's case. (See: closing argument) ].sub.[j = 1].sup.n][X.sub.[ij].sup.2]]]], j = 1, ..., n; i = 1, ..., m (5) Create the weighted normalized performance matrix: A set of weights w= ([w.sub.1], [w.sub.2], ... [w.sub.n]), [n.summation over (j=1)] [W.sub.j] = 1, from the ANP ANP atrial natriuretic peptide. ANP atrial natriuretic peptide. ANP Atrial natriuretic peptide, see there is accommodated weight. This matrix can be calculated by multiplying mul·ti·ply 1 v. mul·ti·plied, mul·ti·ply·ing, mul·ti·plies v.tr. 1. To increase the amount, number, or degree of. 2. Mathematics To perform multiplication on. each column of the R with its associated weight [w.sub.j]. Therefore, the weighted normalized decision matrix V is equal to: [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (6) Determine the ideal solution and negative ideal solution: The ideal solution is computed based on the following equations: A * = {(max [V.sub.ij]|j[member of]J), (min [V.sub.ij]|j[member of]J'), i = 1, 2, ..., m} (7) [A.sup.-] = {(min [V.sub.ij]|j[member of]J), (max [V.sub.ij]|j[member of]J'), i = 1, 2, ..., m} (8) Where: j = {j = 1,2, ..., n|j belongs to benefit criteria} j' = {j = 1,2, ..., n|j belongs to cost criteria} Calculate the distance between idea solution and negative ideal solution for each alternative: [S.sub.i.]* = [square root of [[n.summation over (j = 1)][([V.sub.ij] - [V.sub.j]*).sup.2]]] i = 1, 2, ...., m (9) [S.sub.i.sup.-] = [square root of [[n.summation over (j = 1)][([V.sub.ij] - [V.sub.j.sup.-).sup.2]]] i = 1, 2, ...., m (10) Calculate the relative closeness to the ideal solution of each alternative: [C.sub.i]* = [[S.sub.i.sup.-]/[[S.sub.i]* + [S.sub.i.sup.-]]] i = 1, 2, ...., m (11) where, 0[less than or equal to][C.sub.i]*[less than or equal to]1 that is, an alternative i is closer to A* as [C.sub.i]* approaches to 1. Rank the preference order: A set of alternatives can be preference ranked according to the descending descending /des·cend·ing/ (de-send´ing) extending inferiorly. order of [C.sub.i]* RESULTS AND DISCUSSION Case implementation: Step 1: Establish an evaluate framework: Using the Delphi method (13), acquire evaluate framework; the evaluate framework are depicted de·pict tr.v. de·pict·ed, de·pict·ing, de·picts 1. To represent in a picture or sculpture. 2. To represent in words; describe. See Synonyms at represent. in Fig. 3. Step 2: Determine the weight of criteria and sub-criteria by using AHP: The weights of criteria and sub-criteria are then determined for a sample group of 19 individuals matching the above characteristics with each respondent In Equity practice, the party who answers a bill or other proceeding in equity. The party against whom an appeal or motion, an application for a court order, is instituted and who is required to answer in order to protect his or her interests. making a pair-wise comparison of the decision criteria and sub-criteria assigning as·sign tr.v. as·signed, as·sign·ing, as·signs 1. To set apart for a particular purpose; designate: assigned a day for the inspection. 2. them relative scores. The relative scores provided by eleven experts are aggregated using the geometric mean (mathematics) geometric mean - The Nth root of the product of N numbers. If each number in a list of numbers was replaced with their geometric mean, then multiplying them all together would still give the same result. method. The priorities for the criteria can be obtained by the procedure stated in the previous and is: [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (12) The respective weights of the four evaluative criteria are financial perspective (0.292), customer perspective (0.287), internal business process perspective (0.220) and learning and growth perspective (0.202). The eigenvectors for financial perspective, customer perspective, internal business process perspective and learning and growth perspective are organized into a matrix that represents the relative importance of sub-criteria with respect to their upper level criteria. [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (13) The respective weights of the four sub-criteria for financial perspective are [SC.sub.1] (0.243), [SC.sub.2] (0.171), [SC.sub.3] (0.430) and [SC.sub.4] (0.156). The respective weights of the five sub-criteria for customer perspective are [SC.sub.5] (0.103), [SC.sub.6] (0.140), [SC.sub.7] (0.502), [SC.sub.8] (0.110) and [SC.sub.9] (0.145). The respective weights of the five sub-criteria for internal business process perspective are [SC.sub.10] (0.128), [SC.sub.11] (0.192), [SC.sub.12] (0.279), [SC.sub.13] (0.171) and [SC.sub.14] (0.230). The respective weights of the five sub-criteria for learning and growth perspective are [SC.sub.15] (0.402), [SC.sub.16] (0.209), [SC.sub.17] (0.094), [SC.sub.18] (0.182) and [SC.sub.19] (0.112). Assume there is no interdependence in·ter·de·pen·dent adj. Mutually dependent: "Today, the mission of one institution can be accomplished only by recognizing that it lives in an interdependent world with conflicts and overlapping interests" among sub-criteria, which sub-criteria should be, emphasized more in determining their respective upper level criterion. Table 1, Synthesis Value (weights of overall) of four wealth management banks under nineteen sub-criteria are [SC.sub.1] (0.07), [SC.sub.2] (0.05), [SC.sub.3] (0.13), [SC.sub.4] (0.05), [SC.sub.5] (0.03), [SC.sub.6] (0.04), [SC.sub.7] (0.14), [SC.sub.8] (0.31), [SC.sub.9] (0.04), [SC.sub.10] (0.03), [SC.sub.11] (0.04), [SC.sub.12] (0.06), [SC.sub.13] (0.04), [SC.sub.14] (0.05), [SC.sub.15] (0.08), [SC.sub.16] (0.04), [SC.sub.17] (0.02), [SC.sub.18] (0.04) and [SC.sub.19] (0.02). Customer Confidence ([SC.sub.8]), customer profitability ([SC.sub.7]) and ability to profitability ([SC.sub.3]) are highly in
Table 1: Eigenvectors (weights) for criteria and sub-criteria
Weights Weights Weights of
Criteria for level 2 Sub-criteria for level 3 the overall
[C.sub.1] 0.29 [SC.sub.1] 0.24 0.07 (5)
[SC.sub.2] 0.17 0.05 (8)
[SC.sub.3] 0.43 0.13 (3)
[SC.sub.4] 0.16 0.05 (9)
[C.sub.2] 0.29 [SC.sub.5] 0.10 0.03 (16)
[SC.sub.6] 0.14 0.04 (13)
[SC.sub.7] 0.50 0.14 (2)
[SC.sub.8] 0.11 0.31 (1)
[SC.sub.9] 0.15 0.04 (12)
[C.sub.3] 0.29 [SC.sub.5] 0.13 0.03 (17)
[SC.sub.6] 0.19 0.04 (10-11)
[SC.sub.7] 0.28 0.06 (6)
[SC.sub.8] 0.17 0.04 (14)
[SC.sub.9] 0.23 0.05 (7)
[S.sub.4] 0.29 [SC.sub.15] 0.40 0.08 (4)
[SC.sub.16] 0.21 0.04 (10-11)
[SC.sub.17] 0.09 0.02 (19)
[SC.sub.18] 0.18 0.04 (15)
[SC.sub.19] 0.11 0.02 (18)
Step 3: Determine the weight of organizational performance by using TOPSIS: Establishing and normalizing the D matrix: At the next level of the decision procedure, 11 experts were asked to establish the decision matrix by comparing hospitals under each of the sub-criteria separately. The sub-criteria were assumed to be benefit sub-criteria and all the members were asked to give a set of crisp values within the range from 1-10 to represent the performance of each bank with respect to each sub-criterion. After the decision matrix was determined. Based on Table 2 normalize normalize to convert a set of data by, for example, converting them to logarithms or reciprocals so that their previous non-normal distribution is converted to a normal one. matrix by Eq. 5. Since the sub-criteria weights ([W.sub.AHP]) have been obtained from AHP, the weighted normalized performance matrix can be calculated by Eq. 6. Table 2-4 shows the decision, normalizes and weighted normalized matrix. Table 2: The decision making matrix [Sc.sub.1] [Sc.sub.2] [Sc.sub.3] [Sc.sub.4] [Sc.sub.5] A 0.158 0.268 0.231 0.279 0.213 B 0.151 0.260 0.251 0.299 0.197 C 0.245 0.115 0.269 0.155 0.442 D 0.446 0.357 0.249 0.266 0.147 [Sc.sub.6] [Sc.sub.7] [Sc.sub.8] [Sc.sub.9] [Sc.sub.10] A 0.153 0.238 0.179 0.169 0.158 B 0.140 0.153 0.161 0.177 0.307 C 0.450 0.439 0.512 0.429 0.205 D 0.257 0.170 0.148 0.224 0.330 [Sc.sub.11] [Sc.sub.12] [Sc.sub.13] [Sc.sub.14] [Sc.sub.15] A 0.158 0.213 0.213 0.205 0.503 B 0.307 0.197 0.197 0.451 0.164 C 0.205 0.442 0.442 0.172 0.192 D 0.330 0.147 0.147 0.172 0.141 [Sc.sub.16] [Sc.sub.17] [Sc.sub.18] [Sc.sub.19] A 0.275 0.439 0.358 0.512 B 0.299 0.188 0.222 0.136 C 0.223 0.130 0.161 0.253 D 0.202 0.242 0.259 0.098 Table 3: The normalize decision making matrix [Sc.sub.1] [Sc.sub.2] [Sc.sub.3] [Sc.sub.4] [Sc.sub.5] A 0.285 0.506 0.461 0.545 0.388 B 0.273 0.491 0.501 0.584 0.359 C 0.442 0.217 0.537 0.303 0.805 D 0.805 0.675 0.497 0.520 0.268 [Sc.sub.6] [Sc.sub.7] [Sc.sub.8] [Sc.sub.9] [Sc.sub.10] A 0.274 0.433 0.306 0.312 0.304 B 0.251 0.279 0.275 0.326 0.591 C 0.806 0.799 0.875 0.791 0.394 D 0.460 0.310 0.253 0.413 0.635 [Sc.sub.11] [SC.sub.12] [SC.sub.13] [SC.sub.14] [SC.sub.15] A 0.304 0.388 0.388 0.371 0.867 B 0.591 0.359 0.359 0.817 0.283 C 0.394 0.805 0.805 0.312 0.331 D 0.635 0.268 0.268 0.312 0.243 [SC.sub.16] [SC.sub.17] [SC.sub.18] [SC.sub.19] A 0.544 0.797 0.688 0.860 B 0.591 0.341 0.427 0.228 C 0.441 0.236 0.310 0.425 D 0.400 0.439 0.498 0.165 Table 4: The weighted normalize decision making matrix [SC.sub.1] [Sc.sub.2] [Sc.sub.3] [Sc.sub.4] [Sc.sub.5] A 0.069 0.087 0.198 0.085 0.040 B 0.066 0.084 0.216 0.091 0.037 C 0.108 0.037 0.231 0.047 0.083 D 0.196 0.115 0.214 0.081 0.028 [Sc.sub.6] [Sc.sub.7] [Sc.sub.8] [Sc.sub.9] [Sc.sub.10] A 0.038 0.218 0.034 0.045 0.039 B 0.035 0.140 0.030 0.047 0.076 C 0.113 0.401 0.096 0.115 0.050 D 0.064 0.155 0.028 0.060 0.081 [Sc.sub.11] [SC.sub.12] [SC.sub.13] [SC.sub.14] [SC.sub.15] A 0.058 0.108 0.066 0.085 0.349 B 0.113 0.100 0.061 0.188 0.114 C 0.076 0.225 0.138 0.072 0.133 D 0.122 0.075 0.046 0.072 0.098 [SC.sub.16] [SC.sub.17] [SC.sub.18] [SC.sub.19] A 0.114 0.075 0.125 0.096 B 0.124 0.032 0.078 0.026 C 0.092 0.022 0.056 0.048 D 0.084 0.041 0.091 0.018 Determining the [C.sub.i]*: First, determine the ideal solution and negative ideal solution using formulae (9) and (10). Table 5 displays those results. Next, calculate the relative closeness to the ideal solution of each alternative, [C.sub.i]*, using Eq. 11. According to Table 6 the ranking order of the four banks is Bank C (0.539), Bank A (0.482), Bank D (0.294) and Bank B (0.269). Therefore, the best organizational performance is Bank C. Table 5: Resultant of [S.sub.i]* and [S.sub.i.sup.-] [S.sub.i]* [S.sub.i.sup.-] A 0.321 0.299 B 0.435 0.160 C 0.300 0.351 D 0.438 0.182 Table 6: Summary of the TOPSIS [C.sub.i]* [C.sub.i] * Rank A 0.482 2 B 0.269 4 C 0.539 1 D 0.294 3 Step 4: Final organizational performance score: Since the sub-criteria weights have been obtained from AHP, the TOPSIS weights can be calculated by Eq. 4-11. Table 6 summarizes those results. Summary of the performance with respect to organizational performance: Bank C (0.539), Bank A (0.482), Bank D (0.294) and Bank B (0.269). Bank C performs the best. CONCLUSION The composite priorities of the alternatives are then determined by aggregating the weights throughout the hierarchy. The composite priorities of the alternatives are: [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (14) Formulae (14) indicate that the weights of AHP are as in the following: Bank A = 0.250 Bank B = 0.227 Bank C = 0.288 Bank D = 0.235 Therefore, Bank C performs the best, Table 7 summary of AHP. Table 7: Summary of the AHP Weights Rank A 0.250 2 B 0.227 4 C 0.288 1 D 0.235 3 The purpose of this study is to present an effective framework applying both AHP and TOPSIS methods to evaluate organizational performance of wealth management banks. In order to ascertain the value of this model, results of the normalized relative weights of the organizational performance of wealth management banks obtained from AHP and TOPSIS are compared. Table 6 shows the relative weights of the four banks based on the results of from AHP, as well as the relative weights from TOPSIS. In the demonstrated example, Bank C should be perfect because it has the largest relative weights (Bank C = 0.288 and 0.539, from AHP and TOPSIS in Table 8).
Table 8: Comparison of the findings of AHP and TOPSIS
AHP TOPSIS
OP Results Rank OP Results Rank
A 0.250 2 A 0.482 2
B 0.227 4 B 0.269 4
C 0.288 1 C 0.539 1
D 0.235 3 D 0.294 3
In Table 6, Summary of the TOPSIS [C.sub.i]* with respect to wealth management banks: A (0.482), B (0.269), C (0.539) and D (0.294). C performs the best. Therefore, the administrators or decision makers should select C. Finally, we recommend that administrators or decision makers can use this model to evaluate the organizational performance of wealth management banks for bank administrators and financial sector analysts. REFERENCES (1.) Chang Chang (chăng) or Yangtze (yăng`sē`, yäng`dzŭ`), Mandarin Chang Jiang, longest river of China and of Asia, c.3,880 mi (6,245 km) long, rising in the Tibetan highlands, SW Qinghai prov. , C.W., C.R. Wu and H.C. Chen, 2008. Using expert technology to select unstable unstable, adj 1. not firm or fixed in one place; likely to move. 2. capable of undergoing spontaneous change. A nuclide in an unstable state is called radioactive. 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Fundamentals of decision making and priority theory with the analytic hierarchy process, Pittsburgh: RWS RWS Rijkswaterstaat RWS Running with Scissors RWS IEEE Radio and Wireless Symposium RWS Romano-Ward Syndrome RWS Remote Weapon Station (US Army) RWS Remote Winsock RWS Range While Search RWS Radar Warning System Publications, ISBN: 0-9620317-6-3, pp: 478. Cheng-Ru Wu, Chin-Tsai Lin and Pei-Hsuan Tsai Graduate Institute of Business and Management, Yuanpei University, 306 Yuanpei St., Hsin Chu 30015, Republic of China, Taiwan Corresponding Author: Cheng-Ru Wu, Graduate Institute of Business and Management, Yuanpei University, 306 Yuanpei St., Hsin Chu 30015, Republic of China, Taiwan |
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