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2023 | OriginalPaper | Chapter

A Novel Multi-Attribute Decision-Making Method Based on Linguistic Fermatean Fuzzy Sets and Power Average Operator

Authors : Xue Feng, Jun Wang, Yuping Xing

Published in: IEIS 2022

Publisher: Springer Nature Singapore

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Abstract

This paper studies a novel tool for describing fuzzy information, called linguistic Fermatean fuzzy sets (LFFSs), in the process of multi-attribute decision-making (MADM). Compared to linguistic intuitionistic fuzzy sets and linguistic Pythagorean fuzzy sets, our LFFSs are more flexible and can depict more complicated decision-making information then the former two. In this study, we first introduce the notion of LFFSs. Afterwards, some other related concepts, such as operational rules, ranking methods as well as distance measure are interpreted. When considering aggregation operators for linguistic Fermatean fuzzy information, we generalize the classical power average (PA) operator into LFFSs and introduce the linguistic Fermatean fuzzy power average operator and its weighted form. Subsequently, a new MADM method based on LFFSs and their aggregation operator is developed. At last, an illustrative example is provided to show how our proposed method can be applied in solving realistic MADM problems.

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Title: A Novel Multi-Attribute Decision-Making Method Based on Linguistic Fermatean Fuzzy Sets and Power Average Operator
Authors: Xue Feng
Jun Wang
Yuping Xing
Publisher: Springer Nature Singapore
Book: IEIS 2022
Print ISBN: 978-981-9936-17-5

Electronic ISBN: 978-981-9936-18-2

Copyright Year: 2023
DOI: https://doi.org/10.1007/978-981-99-3618-2_4