An approach to multi-attribute decision-making based on intuitionistic fuzzy soft information and Aczel-Alsina operational laws

Kifayat Ullah · Amir Hussain

74 citations0/0 files storedJournal of Decision Analytics and Intelligent Computing

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Fuzzy and Soft Set Theory Multi-Criteria Decision Making Rough Sets and Fuzzy Logic

Abstract

The intuitionistic fuzzy soft set (IFSS) is a vital technique for addressing uncertainty, where information is collected using membership functions with values in the unit interval. Moreover, the Aczel-Alsina t-norm (AATNRM) and Aczel-Alsina t-conorm (AATCRM) are the most generalized and flexible operational laws to operate the information that is part of the unit intervals. The purpose of this article is to provide a number of aggregation operations (AOs) for information represented by intuitionistic fuzzy soft values (IFSVs) based on AATRM and AATCRM. Therefore, some new operational laws are developed by using the AATRM and AATCRM for the development of the sum and product laws for IFSVs. Then, intuitionistic fuzzy soft Aczel-Alsina weighted averaging (IFSAAWA) and geometric (IFSAAWG) operators are proposed based on these operational laws. Additionally, some of their characteristics are examined, and the difference between the proposed and existing operators is investigated. Moreover, the proposed approach is applied to the problem of multi-attribute decision-making (MADM) for significance.

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References

1999Soft set theory—First results 1999Intuitionistic Fuzzy Sets 2012Intuitionistic Fuzzy Information Aggregation Using Einstein Operations 2019Linear Diophantine fuzzy set and its applications towards multi-attribute decision-making problems 2012Some intuitionistic fuzzy Einstein hybrid aggregation operators and their application to multiple attribute decision making 2019Intuitionistic fuzzy Dombi aggregation operators and their application to multiple attribute decision-making 2021A novel approach towards bipolar complex fuzzy sets and their applications in generalized similarity measures 2018Some Generalized Complex Intuitionistic Fuzzy Aggregation Operators and Their Application to Multicriteria Decision-Making Process

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