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2013 | OriginalPaper | Chapter

105. Multi-Criteria Decision Making Based on Fuzzy Measure

Authors : Sanghyuk Lee, Yan Sun, Di Feng

Published in: Future Information Communication Technology and Applications

Publisher: Springer Netherlands

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Abstract

Decision procedure was done with the evaluation of multi-criterion analysis. Importance of each criterion was considered through heuristically method, specially it was based on the heuristic least mean square algorithm. To consider coalition evaluation, it was carried out by calculation of Shapley index and Interaction value. The model output is also analyzed with the help of those two indexes, and the procedure was also displayed with details. Finally, the differences between the model output and the desired results are evaluated thoroughly, several problems are raised at the end of the example which require for further studying.

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Literature
1.
go back to reference Nash, SG. Sofer A (1996) Linear and nonlinear programming. McGraw-Hill, New York Nash, SG. Sofer A (1996) Linear and nonlinear programming. McGraw-Hill, New York
2.
go back to reference Grabisch M, Roubens M (2000) Application of the Choquet integral in multi-criteria decision making Grabisch M, Roubens M (2000) Application of the Choquet integral in multi-criteria decision making
3.
go back to reference Sugeno M (1974) Theory of fuzzy integrals and its application. Ph.D. thesis, Tokyo Institute of Technology Sugeno M (1974) Theory of fuzzy integrals and its application. Ph.D. thesis, Tokyo Institute of Technology
4.
go back to reference Xuecheng L (1992) Entropy, distance measure and similarity measure of fuzzy sets and their relations. Fuzzy Sets Syst 52:305–318MATHCrossRef Xuecheng L (1992) Entropy, distance measure and similarity measure of fuzzy sets and their relations. Fuzzy Sets Syst 52:305–318MATHCrossRef
6.
go back to reference Ghosh A (1995) Use of fuzziness measure in layered networks for object extraction: a generalization. Fuzzy Sets Syst 72:331–348CrossRef Ghosh A (1995) Use of fuzziness measure in layered networks for object extraction: a generalization. Fuzzy Sets Syst 72:331–348CrossRef
7.
go back to reference Lee SH, Pedrycz W, Sohn G (2009) Design of similarity and dissimilarity measures for fuzzy sets on the basis of distance measure. Int J Fuzzy Syst 11:67–72MathSciNet Lee SH, Pedrycz W, Sohn G (2009) Design of similarity and dissimilarity measures for fuzzy sets on the basis of distance measure. Int J Fuzzy Syst 11:67–72MathSciNet
8.
go back to reference Lee SH, Ryu KH, Sohn GY (2009) Study on entropy and similarity measure for fuzzy set. IEICE Trans Inf Syst E92-D:1783–1786 Lee SH, Ryu KH, Sohn GY (2009) Study on entropy and similarity measure for fuzzy set. IEICE Trans Inf Syst E92-D:1783–1786
9.
go back to reference Grabisch M (1995) A new algorithm for identifying fuzzy measures and its application to pattern to pattern recognition. In: International joint conference of the 4th IEEE international conference on fuzzy systems and 2nd international fuzzy engineering symposium, pp 145–150 Grabisch M (1995) A new algorithm for identifying fuzzy measures and its application to pattern to pattern recognition. In: International joint conference of the 4th IEEE international conference on fuzzy systems and 2nd international fuzzy engineering symposium, pp 145–150
10.
go back to reference Mori T, Murofushi T (1989) An analysis of evaluation model using fuzzy measures and the Choquet integral. In: 5th fuzzy system symposium, Kobe, 2–3 June 1989 (in Japanese) Mori T, Murofushi T (1989) An analysis of evaluation model using fuzzy measures and the Choquet integral. In: 5th fuzzy system symposium, Kobe, 2–3 June 1989 (in Japanese)
Metadata
Title
Multi-Criteria Decision Making Based on Fuzzy Measure
Authors
Sanghyuk Lee
Yan Sun
Di Feng
Copyright Year
2013
Publisher
Springer Netherlands
DOI
https://doi.org/10.1007/978-94-007-6516-0_105