The Characteristics of Circular Fermatean Fuzzy Sets and Multicriteria Decision-Making Based on the Fermatean Fuzzy t-Norm and t-Conorm

IF 4.7 Q2 MATERIALS SCIENCE, BIOMATERIALS ACS Applied Bio Materials Pub Date : 2024-02-10 DOI:10.1155/2024/6974363

R. A., I. V., K. S., A. H, Arifmohammed K. M.

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Abstract

When diverse decision makers are involved in the decision-making process, taking average of decision values might not reflect an accurate point of view. To overcome such a scenario, the circular Fermatean fuzzy (CFF) set, an advancement of the Fermatean fuzzy (FF) set, and the interval-valued Fermatean fuzzy set (IVFFS) are introduced in this current study. The proposed CFF set is a circle with a centre as association value (AV) and nonassociation value (NAV) with a radius at most equal to 2. It is built in such a way that it covers all the decision makers’ opinion value through a circle. Due to its geometric structure, the CFF set resolves ambiguity and risk more accurately and effectively than FF and IVFF. FF t-norm and t-conorm are used to investigate the properties of CFF sets, subsequent to which the algebraic operations between them are defined. A couple of CFF distance measures between CFF numbers are introduced and used in the selection of an electric autorickshaw along with the CFF weighted averaging and geometric aggregation operators. The overview and comparison analysis of the generated reports exemplifies the viability and compatibility of the CFF set strategy for selecting the best choices.

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圆形费马忒模糊集的特征与基于费马忒模糊 t-Norm 和 t-Conorm 的多标准决策制定

当不同的决策者参与决策过程时，取决策值的平均值可能无法反映准确的观点。为了克服这种情况，本研究引入了圆形费马泰模糊集（CFF），它是费马泰模糊集（FF）和区间值费马泰模糊集（IVFFS）的一种进步。拟议的 CFF 集是一个以关联值（AV）和非关联值（NAV）为圆心、半径最多等于 2 的圆。由于其几何结构，CFF 集比 FF 和 IVFF 能更准确、更有效地解决模糊性和风险问题。FF t-norm 和 t-conorm 用于研究 CFF 集的特性，随后定义了它们之间的代数运算。介绍了 CFF 数字之间的几个 CFF 距离度量，并将其与 CFF 加权平均和几何聚合算子一起用于电动人力车的选择。对生成的报告进行概述和比较分析，证明了 CFF 集策略在选择最佳方案方面的可行性和兼容性。

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来源期刊

ACS Applied Bio Materials Chemistry-Chemistry (all)

CiteScore

9.40

自引率

2.10%

发文量

464

期刊介绍： ACS Applied Bio Materials is an interdisciplinary journal publishing original research covering all aspects of biomaterials and biointerfaces including and beyond the traditional biosensing, biomedical and therapeutic applications. The journal is devoted to reports of new and original experimental and theoretical research of an applied nature that integrates knowledge in the areas of materials, engineering, physics, bioscience, and chemistry into important bio applications. The journal is specifically interested in work that addresses the relationship between structure and function and assesses the stability and degradation of materials under relevant environmental and biological conditions.