A POWER INDEX AND ITS NORMALIZATION UNDER FUZZY MULTICRITERIA SITUATION

Authors

  • Yu-Hsien Liao National Pingtung University - Department of Applied Mathematics
  • Tsu-Yin Chen Chang Gung University of Science and Technology - Department of Cosmetic Science
  • Ling-Yun Chung National Yunlin University of Science and Technology - Graduate School of Technological and Vocational Education

Keywords:

multicriteria fuzzy TU games, supreme-utilities, reduced game, excess function, dynamic process

Abstract

By considering the supreme-utilities among fuzzy level vectors, we propose an index and its normalization in the framework of multicriteria fuzzy transferable-utility (TU) games.  We show that there exists a reduced game that could be adopted to analyze these two indexes.  Further, alternative formulation for the normalized index is also proposed by applying excess function.  Based on reduced game and excess function, we introduce different dynamic processes for the normalized index.

Cover of n°40 Italian Journal of Pure and Applied Mathematics

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Published

2018-07-31

How to Cite

Liao, Y.-H., Chen, T.-Y., & Chung, L.-Y. (2018). A POWER INDEX AND ITS NORMALIZATION UNDER FUZZY MULTICRITERIA SITUATION. Italian Journal of Pure and Applied Mathematics, 40, 108–121. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/7050

Issue

N°40 - July 2018

Section

Articoli - Forum Editrice

License

Copyright (c) 2018 Yu-Hsien Liao, Tsu-Yin Chen, Ling-Yun Chung

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)

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