Aczel–Alsina aggregation operators and their application to intuitionistic fuzzy multiple attribute decision making

• Published in: International journal of intelligent systems Vol. 37; no. 2; pp. 1529 - 1551
• Main Authors: Senapati, Tapan, Chen, Guiyun, Yager, Ronald R.
• Format: Journal Article
• Language: English
• Published: New York John Wiley & Sons, Inc 01.02.2022
• Subjects: Aczel–Alsina operations; Agglomeration; Commutativity; Decision making; Fuzzy sets; Human resources; Intelligent systems; intuitionistic fuzzy Aczel–Alsina average aggregation operators; intuitionistic fuzzy numbers; multiple attribute decision‐making; Multiplication; Operators
• ISSN: 0884-8173; 1098-111X
• DOI: 10.1002/int.22684

This paper describes the new intuitionistic fuzzy aggregation operators in consequence of Aczel–Alsina operations that possess certain advantages in cases of solving real life problems. We first present some new operations of intuitionistic fuzzy sets (IFSs), for example, Aczel–Alsina sum, Aczel–Alsina product, and Aczel–Alsina scalar multiplication. At that point, we create some IF aggregation operators, for example, the IF Aczel–Alsina weighted averaging operator, the IF Aczel–Alsina ordered weighted averaging operator and IF Aczel–Alsina hybrid averaging operator. We set up different properties of these operators. It is demonstrated that suggested averaging operators have the properties of idempotency, boundary, monotonicity, and commutativity. Then, we design new techniques dependent on these operators to fix multiattribute decision making issues. We present an example of human resource selection to elaborate on the performance of our proposed approach. The outcome shows the practicality and viability of the new technique. Eventually, an organized comparison between the prevailing techniques and the suggested technique has been given.