1、1Evaluation on Service Quality of Business Sport Fitness Center Based on TOPSIS MethodAbstract. According to shortage of the traditional TOPSIS method, this paper introduces an improved method which gives a new method of decision-making matrix ranking and getting weight. This method simplifies stand
2、ardization of decision-making matrix and calculation of ideal solution and puts forward a relative approachable 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 and TOPSIS, th
3、e evaluation of service quality of business sport fitness center is pointed and its hierarchy structure is constructed. Key words: Business sport fitness center, Service quality, Evaluation index, TOPSIS. 1. Establishing the index system for service quality of business sport fitness center The index
4、 system is shown in Table 1. 2. Evaluation matrix and standardization processing Suppose there are business sport fitness centers, and each 2center has evaluation indexes, then an evaluation matrix = can be built: An index differs from each other in dimension, variation range and value. To avoid the
5、 complexity, the general vector normalization method can be used. And indexes in different dimensions can be processed to standardized dimensionless indexes, which are used to build a standardized evaluation matrix. 3. Determination of index weight and weighted standardized matrix Each of the indexe
6、s 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 objective weighted methods with the source information coming from real statistics, including mainly comprehensive index meth
7、od, entropy weight method, efficacy grading method and principal component analysis. Group 2, of subjective weighted methods with the source information from expert consultation, includes mainly AHP method and fuzzy comprehensive evaluation method. The objective weight and subjective weight are calc
8、ulated. 3.1 Determination of objective weight 3In determining the objective weight, the information 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 establish
9、ed as follows. is the 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. 3.2 Determination of subjective weight Hierarchy analysis m
10、ethod, as one of the most commonly used subjective weighted methods, combines quantitative and qualitative analysis together. By making couple comparisons between each factor, it builds a judgment matrix, whose maximum feature root can direct to a corresponding eigenvector, which can be used as the
11、subjective weight. 3.3 Comprehensive weight and establishment of the weighted standardized matrix By applying weight-vector synthesis method to normalize objective and subjective weights, one obtains comprehensive weight of attribute indexes: So the weighted standardized matrix should be: 44. Determ
12、ination of ideal and negative ideal solutions of matrix Y Ideal solution and negative ideal solution is determined as follows: represents benefit-oriented attribute represents cost-oriented attribute represents cost-oriented attribute represents benefit-oriented attribute 5. Plan distance to ideal a
13、nd negative ideal solutions The plan distance to ideal solution , and to negative ideal solution , can be calculated as follows. 6. The relative closeness to ideal solution Prioritize all the business sport fitness centers, according to their relative closeness. The value of shows how close center i
14、s to the optimization. The more, the better. References 1 D. Murray and G. Howat, The Relationships among Service Quality, Value, Satisfaction, and Future Intentions of Customers at an Australian Sports and Leisure Centre, Sport Management Review, vol.5, pp.25-43, 2002. 2 W. Huang and Y.Y. Huang, Re
15、search on the Performance Evaluation of Chongqing Electric Power Supply Bureaus Based on 5TOPSIS, Energy Procedia, vol.14, pp.899-905, 2012. 3 C.H. Chang, J.J. Lin, J.H. Lin and M.C. Chiang, Domestic open-end equity mutual fund performance evaluation using extended TOPSIS method with different dista
16、nce approaches, Expert Systems with Applications, vol.37, pp. 4642-4649, 2010. 4 C.C. Sun, A performance evaluation model by integrating fuzzy AHP and fuzzy TOPSIS methods, Expert Systems with Applications, vol.37, pp.7745-7754, 2010. 5 X.X. Li, K.S. Wang, L.W. Liu, J. Xin, H.R. Yang and C.Y. Gao, A
17、pplication of the Entropy Weight and TOPSIS Method in Safety Evaluation of Coal Mines, Procedia Engineering, vol.26, pp.2085-2091, 2011. 6 X.Q. Zhu, F. Wang, C.Z. Liang, J.P. Li and X.L. Sun, Quality Credit Evaluation based on TOPSIS: Evidence from Air-conditioning Market in China, Procedia Computer Science, vol.9, pp.1256-1262, 2012.
