A Survey of The Centroids of Fuzzy Numbers and Applications

Authors

https://doi.org/10.48314/jidcm.v1i2.66

Abstract

This paper presents a thorough review of the various methods for determining the centroids of fuzzy numbers, highlighting their significance in fuzzy set theory and decision-making processes. Starting with the foundational concepts of fuzzy sets and fuzzy numbers, including triangular and trapezoidal forms, the study critically examines existing centroid calculation formulas, addressing their advantages and limitations. The review identifies common errors in previous approaches, emphasizing the necessity for accurate and consistent centroid formulae. Furthermore, the paper explores multiple applications of centroid-based fuzzy number ranking, notably in decision-making and Multi-Criteria Decision Making (MCDM). It demonstrates that precise centroid computation is essential for effective fuzzy number comparison and ranking, ultimately enhancing the reliability of fuzzy logic applications in engineering, management, and applied sciences.  

Keywords:

Fuzzy numbers, Fuzzy set theory, Decision-making, Multi-criteria decision making, Fuzzy logic applications

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Published

2025-06-07

Issue

Vol. 1 No. 2 (2025): Journal of Intelligent Decision and Computational Modelling (JIDCM)

Section

Articles

How to Cite

Ashoori, M. . (2025). A Survey of The Centroids of Fuzzy Numbers and Applications. Journal of Intelligent Decision and Computational Modelling, 1(2), 77-86. https://doi.org/10.48314/jidcm.v1i2.66

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