RANKING OF GENERALIZED FUZZY NUMBERS BASE ON LEFT-RIGHT AREAS AND CENTROIDS

Authors

  • Ming-Hung Shu Dinh-Chien Dang , Thanh-Lam Nguyen Bi-Min Hsu, Ky-Quang Pham Author

Keywords:

Fuzzy ranking method, Left and right areas, Expectation value of centroid, Optimism level, Fuzzy number

Abstract

Fuzzy set theory, extensively applied in several fields, has been recognized as a powerful tool in dealing with the knowledge of imprecision due to its ability in representing uncertainty and vagueness mathematically. In fuzzy data analysis, searching for a general measure that can effectively and efficiently rank fuzzy numbers for critical information revelation and decision-making has well attracted the special attention of numerous scholars. Several approaches have been proposed up to date; however, their certain shortcomings spare capacity for enhancement. In this paper, an innovative ranking index incorporating three key components such as left-right areas, expectation value of centroid, and level of optimism is proposed. Through numerically comparative studies thorough with current major ranking methods, our approach demonstrates a significant improvement in terms of ranking robustness and discrimination power.

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Published

2017-04-11

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Section

Articles

How to Cite

RANKING OF GENERALIZED FUZZY NUMBERS BASE ON LEFT-RIGHT AREAS AND CENTROIDS . (2017). Global Journal of Advanced Engineering Technologies and Sciences, 4(4), 49-52. https://gjaets.com/index.php/gjaets/article/view/138

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