An α-Cut-Based Ranking Index for Normal Trapezoidal Fuzzy Numbers
DOI:
https://doi.org/10.33003/fjs-2026-1021-6263Keywords:
Fuzzy Set, Fuzzy Number, Normal Trapezoidal Fuzzy Number, Α-Cut, Ranking IndexAbstract
This paper proposes a simplified ranking approach for normal trapezoidal fuzzy numbers using an integrated ranking index ( ). The fundamental arithmetic operations for are reviewed to compute the proposed index. The ranking performance is evaluated across seven sets of fuzzy numbers, comparing the results against nine established existing methods. Comparative analysis demonstrates that the proposed approach is straightforward to apply, effectively better, and yields high consistency with existing literature while significantly reducing computational complexity.
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