Innovatively Ranking Fuzzy Numbers with Left-Right Areas and Centroids

Authors

  • Thanh-Lam Nguyen Office of Scientific Research, Lac Hong University
  • Lam Thanh Hien Office of Academic Affairs, Lac Hong University, Dong Nai

DOI:

https://doi.org/10.26713/jims.v8i3.378

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

2016-11-09
CITATION

How to Cite

Nguyen, T.-L., & Hien, L. T. (2016). Innovatively Ranking Fuzzy Numbers with Left-Right Areas and Centroids. Journal of Informatics and Mathematical Sciences, 8(3), 167–174. https://doi.org/10.26713/jims.v8i3.378

Issue

Vol. 8 No. 3 (2016)

Section

Research Articles

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