Paper Info
Title
Novel Aczel-Alsina Operators for Pythagorean Fuzzy Sets with Application in Multi-Attribute Decision Making
Abstract
Multi-attribute decision-making (MADM) is usually used to aggregate fuzzy data successfully. Choosing the best option regarding data is not generally symmetric on the grounds that it does not provide complete information. Since Aczel-Alsina aggregation operators (AOs) have great impact due to their parameter variableness, they have been well applied in MADM under fuzzy construction. Recently, the Aczel-Alsina AOs on intuitionistic fuzzy sets (IFSs), interval-valued IFSs and T-spherical fuzzy sets have been proposed in the literature. In this article, we develop new types of Pythagorean fuzzy AOs by using Aczel-Alsina t-norm and Aczel-Alsina t-conorm. Thus, we give these new operations Aczel-Alsina sum and Aczel-Alsina product on Pythagorean fuzzy sets based on Aczel-Alsina t-norm and Aczel-Alsina t-conorm. We also develop new types of Pythagorean fuzzy AOs including Pythagorean fuzzy Aczel-Alsina weighted averaging and Pythagorean fuzzy Aczel-Alsina weighted geometric operators. We elaborate some characteristics of these proposed Aczel-Alsina AOs on Pythagorean fuzzy sets, such as idempotency, monotonicity, and boundedness. By utilizing the proposed works, we solve an example of MADM in the information of the multinational company under the evaluation of impacts in MADM. We also illustrate the comparisons of the proposed works with previously existing AOs in different fuzzy environments. These comparison results demonstrate the effectiveness of the proposed Aczel-Alsina AOs on Pythagorean fuzzy sets.
Year
DOI
Venue
2022
10.3390/sym14050940
SYMMETRY-BASEL
Keywords
DocType
Volume
fuzzy sets, pythagorean fuzzy sets, aggregation operators, Aczel-Alsina operations, multi-attribute decision-making, human resource management
Journal
14
Issue
ISSN
Citations 
5
2073-8994
0
PageRank 
References 
Authors
0.34
0
5
Name
Order
Citations
PageRank
Abrar Hussain100.34
Kifayat Ullah200.34
Mohammed Nasser Alshahrani300.34
Miin-Shen Yang42025129.12
Dragan Pamucar503.38