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Granular Computing
Published in: Granular Computing 2/2024

01-06-2024 | Original Paper

Multiple attribute decision making using an enhanced complex proportional assessment method based on probabilistic generalized orthopair fuzzy soft sets

Authors: Feng Feng, Zhiyan Zhang, Stefania Tomasiello, Chenxue Zhang

Published in: Granular Computing | Issue 2/2024

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Abstract

As a common generalization of intuitionistic fuzzy sets (IFSs), Pythagorean fuzzy sets (PFSs) and Fermatean fuzzy sets (FFSs), generalized orthopair fuzzy sets (GOFSs) have received worldwide attention in past few years. These extended fuzzy sets are all built on the basis that the information described by the membership grade (MG) and non-membership grade (NMG) is of equal importance. In some real-life decision-making applications, however, membership and non-membership grades may have different degrees of importance. To address this issue, probability information is used to enhance Yager’s GOFSs, which gives rise to the notion of probabilistic generalized orthopair fuzzy sets (PGOFSs). Following this line of exploration, we put forth probabilistic generalized orthopair fuzzy soft sets (PGOFSSs) in this study, and consider their applications to multiple attribute decision making (MADM) under uncertainty. Firstly, we integrate PGOFSs with Molodtsov’s soft sets to define the notion of PGOFSSs. Some basic operations of PGOFSSs are presented and related algebraic properties are investigated. We also define two different types of probabilistic generalized orthopair fuzzy soft subsets and consider the probabilistic generalized orthopair fuzzy soft equal relation derived from them. Secondly, we extend the traditional complex proportional assessment (COPRAS) method by virtue of PGOFSSs, and propose the probabilistic generalized orthopair fuzzy soft complex proportional assessment (PGOFSoft-COPRAS) approach to solve MADM problems based on PGOFSSs. We also extend the maximizing deviation method (MDM) within the framework of PGOFSSs for attribute weight determination. Finally, the PGOFSoft-COPRAS approach is utilized to address a problem regarding cloud service provider (CSP) selection. The effectiveness and superiority of the PGOFSoft-COPRAS approach are verified through a brief comparison with several existing MADM methods. Moreover, we propose a Levenshtein distance based similarity measure to quantify the consistency between the ranking results obtained by disparate MADM methods.
next article Multi-criteria decision-making based on intuitionistic fuzzy exponential knowledge and similarity measure and improved VIKOR method

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Metadata
Title
Multiple attribute decision making using an enhanced complex proportional assessment method based on probabilistic generalized orthopair fuzzy soft sets
Authors
Feng Feng
Zhiyan Zhang
Stefania Tomasiello
Chenxue Zhang
Publication date
01-06-2024
Publisher
Springer International Publishing
Published in
Granular Computing / Issue 2/2024
Print ISSN: 2364-4966
Electronic ISSN: 2364-4974
DOI
https://doi.org/10.1007/s41066-023-00425-7

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