Importance-assessing method with fuzzy number-valued fuzzy measures and discussions on TFNs and TrFNs

International Journal of Fuzzy Systems

Volumn 10, Issue 2, 2008, Pages 92-103

  Chen, Ting Yu ^a   Ku, Tai Chun ^b  

^a CHANG GUNG UNIVERSITY   (Taiwan)

^b Hwa Tai Publishing Company   (Taiwan)

Author keywords

Attribute importance; Distance measure; Fuzzy number valued fuzzy measure; Trapezoidal fuzzy number; Triangular fuzzy number

Indexed keywords

ASSESSING METHOD; ATTRIBUTE IMPORTANCE; DISTANCE MEASURE; EUCLIDEAN DISTANCE; EVALUATION ITEMS; FUZZY MEASURES; FUZZY NUMBER-VALUED FUZZY MEASURE; FUZZY NUMBERS; TRAPEZOIDAL FUZZY NUMBERS; TRIANGULAR FUZZY NUMBERS;

FUZZY RULES;

EID: 46749113871     PISSN: 15622479     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (43)

1. J.M. Benítez, Martín J.C., and C. Román, "Using fuzzy number for measuring quality of service in the hotel industry," Tourism Management, vol. 28, no. 2, pp. 544-555, 2007.
2. H.M. Sheng, J.C. Wang, and H.H. Huang, "Fuzzy measure on vehicle touting problem of hospital materials," Expert Systems with Applications, vol. 30, no. 2, pp. 367-377, 2006.
3. Z. Wang, K. S. Leung, and G.J. Klir, "Applying fuzzy measures and nonlinear integrals in data mining," Fuzzy Sets and Systems, vol. 156, no. 3, pp. 371-380, 2005.
4. M. Sugeno, Theory of Fuzzy Integrals and Its Applications, Doctoral Thesis, Tokyo Institute of Technology, 1974.
5. S.T. Wierzchon, "An algorithm for identification of fuzzy measure," Fuzzy Sets and Systems, vol. 9, no. 1-3, pp. 69-78, 1983.
6. Z. Wang and G.J. Klir, Fuzzy Measure Theory, Plenum Press, New York, 1992.
7. K.M. Lee and H. Leekwang, "Identification of λ-fuzzy measure by genetic algorithms," Fuzzy Sets and Systems, vol. 75, no. 3, pp. 301-309, 1995.
8. D. Liginlal and T.T. Ow, "Modeling attitude to risk in human decision processes: an application of fuzzy measures," Fuzzy Sets and Systems, vol. 157, no. 23, pp. 3040-3054, 2006.
9. S.J. Chen and C.L. Hwang, Fuzzy Multiple Attribute Decision Making-Methods and Applications, Berlin/Heidelberg/New York: Springer-Verlag, 1992.
10. G.Q. Zhang, "On fuzzy number-valued fuzzy measures defined by fuzzy number-valued fuzzy integrals I," Fuzzy Sets and Systems, vol. 45, no. 2, pp. 227-237, 1992.
11. G.Q. Zhang, "On fuzzy number-valued fuzzy measures defined by fuzzy number-valued fuzzy integrals II," Fuzzy Sets and Systems, vol. 48, no. 2, pp. 257-265, 1992.
12. G.Q. Zhang, "Fuzzy number-valued fuzzy measure and fuzzy number-valued fuzzy integral on the fuzzy set," Fuzzy Sets and Systems, vol. 49, no. 3, pp. 357-376, 1992.
13. D. Dubois and H. Prade, "Operations on fuzzy numbers," International Journal of Systems Science, vol. 9, no. 6, pp. 613-626, 1982.
14. S.H. Ghyym, "A semi-linguistic fuzzy approach to multi-actor decision-making: application to aggregation of experts' judgments", Journal of Materials Processing Technology, vol. 26, no. 12, pp. 1097-1112, 1999.
15. F. Herrera, L. Martinez, and P.J. Sanchez, "Managing non-homogeneous information in group decision making," European Journal of Operational Research, vol. 166, no. 1, pp. 115-132, 2005.
16. G.S. Liang, T.Y. Chou, and T.C. Hau, "Cluster analysis based on fuzzy equivalence relation," European Journal of Operational Research, vol. 166, no. 1, pp. 160-171, 2005.
17. A. S. Glickman, "Effects of negatively skewed ratings on motivations of the rated," Personnel Psychology, vol. 8, no. 1, pp. 39-47, 1955.
18. F.T.S. Chan, M.H. Chan, and N.K.H. Tang, "Evaluation methodologies for technology selection," Journal of Materials Processing Technology, vol. 107, no. 1-3, pp. 330-337, 2000.
19. C.T. Chen, C.T. Lin, and S.F. Huang, "A fuzzy approach for supplier evaluation and selection in supply chain management," International Journal of Production Economics, vol. 102, no. 2, pp. 289-301, 2006.
20. C.H. Cheng and Y Lin, "Evaluation the best main battle tank using fuzzy decision theory with linguistic criteria evaluation," European Journal of Operational Research, vol. 142, no. 1, pp. 174-186, 2002.
21. J.F. Ding and G.S. Ling, "Using fuzzy MCDM to select partners of strategic alliances for liner shipping," Information Sciences, vol. 173, no. 1, pp. 197-225, 2005.
22. P.L. Chang and Y.C. Chen, "A fuzzy multi-criteria decision making method for technology transfer strategy selection in biotechnology," Fuzzy Sets and Systems, vol. 63, no. 2, pp. 131-139, 1994.
23. T.S. Liou and M.J.J. Wang, "Subjective assessment of mental workload-a fuzzy linguistic multi-criteria approach," Fuzzy Sets and Systems, vol. 62, no. 2, pp.155-165, 1994.
24. C.J. Chien and H.H. Tsai, "Using fuzzy numbers to evaluate perceived service quality," Fuzzy Sets and Systems, vol. 116, no. 2, pp. 289-300, 2000.
25. H.T. Lee, S.H. Chen, and H.Y Kang, "Multicriteria scheduling using fuzzy theory and tabu search," International Journal of Production Research, vol. 40, no. 5, pp. 1221-1234, 2002.
26. H.C.W. Lau, C.W.Y. Wong, P.K.H. Lau, K.F. Pun, K. S. Chin, and B. Jiang, "A fuzzy multi-criteria decision support procedure for enhancing information delivery in extended enterprise networks," Engineering Applications of Artificial Intelligence, vol. 16, no. 1, pp. 1-9, 2003.
27. T. Yang and C.C. Hung, "Multiple-attribute decision making methods for plant layout design problem," Robotics and Computer-Integrated Manufacturing, vol. 23, no. 1, pp. 126-137, 2007.
28. T. Ertay, G. Buyukozkan, C. Kahraman, and D. Ruan, "Quality function deployment implementation based on analytic network process with linguistic data: An application in automotive industry," Journal of Intelligent and Fuzzy Systems, vol. 16, no. 3, pp. 221-232, 2005.
29. C. T. Chen, "A fuzzy approach to select the location of the distribution center," Fuzzy Sets and Systems, vol. 118, no. 1, pp. 65-73, 2001.
30. M.S. Kuo, G.S. Liang, and W.C. Huang, "Extensions of the multicriteria analysis with pairwise comparison under a fuzzy environment," International Journal of Approximate Reasoning, vol. 43, no. 3, pp. 269-285, 2006.
31. J.F. Ding, G.S. Liang, C.H. Yeh, and Y.C. Yeh, "A fuzzy multi-criteria decision-making model for the selection of courier service providers: An empirical study from shippers' perspective in Taiwan," Maritime Economics and Logistics, vol. 7, no. 3, pp.250-261, 2005.
32. H.C. Xia, D.F. Li, J.Y Zhou, and IM. Wang, "Fuzzy LINMAP method for multiattribute decision making under fuzzy environments," Journal of Computer and System Sciences, vol. 72, no. 4, pp. 741-759, 2006.
33. G.Q. Zhang, "The structural characteristics of the fuzzy number-valued fuzzy measure on the fuzzy σ-algebra and their applications," Fuzzy Sets and Systems, vol. 52, no. 1, pp. 69-81, 1992.
34. G.Q. Zhang, "Convergence of a sequence of fuzzy number-valued fuzzy measurable functions on the fuzzy number-valued fuzzy measure space," Fuzzy Sets and Systems, vol. 57, no. 1, pp. 75-84, 1993.
35. Y. Chen and G. Tzeng, "Using fuzzy integral for evaluating subjectively perceived travel costs in a traffic assignment model," European Journal of Operational Research, vol. 130, no. 3, pp. 635-664, 2001.
36. T. Murofushi and M. Sugeno, "Fuzzy t-conorm integral with respect to fuzzy measures: generalization of Sugeno integral and Choquet integral," Fuzzy Sets and Systems, vol. 42, no. 1, pp. 57-71, 1991.
37. E. Triantaphyllou, "A quadratic programming approach in estimating similarity relations," IEEE Transactions on Fuzzy Systems, vol. 1, no. 2, pp. 138-145, 1993.
38. E. Triantaphyllou, Multi-criteria Decision Making Methods: A Comparative Study, Dordrecht: Kluwer Academic Publishers, 2000.
39. A. Bárdossy and L. Duckstein, Fuzzy Rule-Based Modeling with Applications to Geophysical, Biological and Engineering Systems, Boca Raton: CRC Press, 1995.
40. L. Tran and L. Duckstein, "Comparison of fuzzy numbers using a fuzzy distance measure," Fuzzy Sets and Systems, vol. 130, no. 3, pp. 331-341, 2002.
41. H. Assael, Consumer Behavior and Marketing Action, Sixth edition, OH: South-Western College Publishing, 1988.
42. B. Mittal and M.S. Lee, "A causal model of consumer involvement," Journal of Economic Psychology, vol. 10, no. 3, pp. 363-389, 1989.
43. J.L. Zaichkowsky, "Measuring the involvement constract," Journal of Consumer Research, vol. 12, No. 3, pp. 341-352, 1985.