evaluation on service quality of business sport fitness center based on topsis method

1、<p>　　Evaluation on Service Quality of Business Sport Fitness Center Based on TOPSIS Method</p><p>　　Abstract. According to shortage of the traditional TOPSIS method, this paper introduces an improved m

2、ethod which gives a new method of decision-making matrix ranking and getting weight. This method simplifies standardization of decision-making matrix and calculation of ideal solution and puts forward a relative approach

3、able degree equal to old one. At the same time, it calculates the index weight by optimization model and mathematics inferring so as to weaken subjective factors. By applying AHP </p><p>　　Key words: Busines

4、s sport fitness center, Service quality, Evaluation index, TOPSIS. </p><p>　　1. Establishing the index system for service quality of business sport fitness center </p><p>　　The index system is s

5、hown in Table 1. </p><p>　　2. Evaluation matrix and standardization processing </p><p>　　Suppose there are business sport fitness centers, and each center has evaluation indexes, then an evaluat

6、ion matrix = can be built: </p><p>　　An index differs from each other in dimension, variation range and value. To avoid the complexity, the general vector normalization method can be used. And indexes in dif

7、ferent dimensions can be processed to standardized dimensionless indexes, which are used to build a standardized evaluation matrix. </p><p>　　3. Determination of index weight and weighted standardized matrix

8、 </p><p>　　Each of the indexes takes a different level of importance in decision-making, so it is necessary to give them different weights. This is usually done in two groups of approaches. Group 1 is of obj

9、ective weighted methods with the source information coming from real statistics, including mainly comprehensive index method, entropy weight method, efficacy grading method and principal component analysis. Group 2, of s

10、ubjective weighted methods with the source information from expert consultation, inc</p><p>　　3.1 Determination of objective weight </p><p>　　In determining the objective weight, the information

11、 indicated by the standardized evaluation matrix can be used. With the minimum value of the weight-square of plan distances to ideal solution as evaluation basis, an optimization model can be established as follows. is t

12、he plan distance to ideal solution, is the objective weight to evaluate index , and is the ideal solution of attribute . Then with the help of the software of LINGO, the objective weight can be calculated with this model

13、. 　　3.2</p><p>　　Hierarchy analysis method, as one of the most commonly used subjective weighted methods, combines quantitative and qualitative analysis together. By making couple comparisons between each f

14、actor, it builds a judgment matrix, whose maximum feature root can direct to a corresponding eigenvector, which can be used as the subjective weight. </p><p>　　3.3 Comprehensive weight and establishment of t

15、he weighted standardized </p><p><b>　　matrix </b></p><p>　　By applying weight-vector synthesis method to normalize objective and subjective weights, one obtains comprehensive weight

16、of attribute indexes: </p><p>　　So the weighted standardized matrix should be: </p><p>　　4. Determination of ideal and negative ideal solutions of matrix Y </p><p>　　Ideal solution

17、and negative ideal solution is determined as follows: </p><p>　　represents benefit-oriented attribute </p><p>　　represents cost-oriented attribute </p><p>　　represents cost-oriented

18、 attribute </p><p>　　represents benefit-oriented attribute </p><p>　　5. Plan distance to ideal and negative ideal solutions </p><p>　　The plan distance to ideal solution , and to ne

19、gative ideal solution , can be calculated as follows. </p><p>　　6. The relative closeness to ideal solution </p><p>　　Prioritize all the business sport fitness centers, according to their relati

20、ve closeness. The value of shows how close center is to the optimization. The more, the better. </p><p>　　References </p><p>　　[1] D. Murray and G. Howat, The Relationships among Service Quality

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