April 12, 2024

New Operations for Linear Pentagonal Fuzzy Numbers

Key Points

The study reveals improved decision-making through enhanced algebraic properties of pentagonal fuzzy numbers, enabling more precise evaluations.
It introduces new operational methods for symmetric pentagonal fuzzy numbers, showing potential applications in decision variables.
Analysis of existing properties and new findings provides a comprehensive framework for using fuzzy sets in decision-making contexts.
The implications of these algebraic properties highlight their usefulness in effective model-building for decision-making processes.

Abstract

Fuzzy predicates as pentagonal fuzzy variable increases the precision and considered to be more appropriate and effective translational fuzzy set model in characterizing decision variables. This paper aims at revisiting the theoretical developments on pentagonal fuzzy variable along with the existing operational properties. Also, the algebraic properties for linear symmetric pentagonal fuzzy number have been introduced with suitable illustrations. Further, the significance of proposed algebraic properties in the decision-making models has been discussed with numerical illustration.

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B. Arulselvam (Fri,) studied this question.

synapsesocial.com/papers/68af658fad7bf08b1eae4f45 — DOI: https://doi.org/10.52783/tjjpt.v45.i02.6601

New Operations for Linear Pentagonal Fuzzy Numbers

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