Generalization and ranking of fuzzy numbers by relative preference relation

Author:

Koppula Kavitha,Kedukodi Babushri SrinivasORCID,Kuncham Syam Prasad

Abstract

AbstractWe define $$2n+1$$ 2 n + 1 and 2n fuzzy numbers, which generalize triangular and trapezoidal fuzzy numbers, respectively. Then, we extend the fuzzy preference relation and relative preference relation to rank $$2n+1$$ 2 n + 1 and 2n fuzzy numbers. When the data is representable in terms of $$2n+1$$ 2 n + 1 fuzzy number, we generalize the FMCDM (fuzzy multi-criteria decision making) model constructed with TOPSIS and relative preference relation. Lastly, we give an example from telecommunications to present the proposed FMCDM model and validate the results obtained.

Funder

Manipal Academy of Higher Education, Manipal

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology,Theoretical Computer Science,Software

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Polygonal Types of Lift Fuzzy Real Numbers;Fudan Journal of the Humanities and Social Sciences;2024-06-16

2. Percentage Comparison of Fuzzy Numbers Using a Newly Presented Method in the Context of Surrogate Modeling;International Journal of Fuzzy Systems;2024-06-04

3. Some new types of generalized fuzzy real numbers;Journal of Intelligent & Fuzzy Systems;2024-01-10

4. Ranking intuitionistic fuzzy numbers by relative preference relation;IRAN J FUZZY SYST;2023

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