Aczel Alsina t-norm and t-conorm-based aggregation operators under linguistic interval-valued intuitionistic fuzzy setting with application-Reference-Cited by-同舟云学术

Aczel Alsina t-norm and t-conorm-based aggregation operators under linguistic interval-valued intuitionistic fuzzy setting with application

Published:2024-05-27 Issue: Volume:10 Page:e1979
ISSN:2376-5992
Container-title:PeerJ Computer Science
language:en
Short-container-title:

Author:

Siab Afra¹,Sajjad Ali Khan Muhammad²,Asif Jan Muhammad¹,Simic Vladimir³⁴^ORCID,Bacanin Nebojsa⁵^ORCID,Senapati Tapan⁶⁷^ORCID

Affiliation:

1. Institute of Numerical Sciences, Kohat University of Science and Technology, Kohat, Pakistan

2. Department of Mathematics, Khushal Khan Khattak University, Karak, Pakistan

3. Faculty of Transport and Traffic Engineering, University of Belgrade, Vojvode Stepe, Belgrade, Serbia

4. Department of Industrial Engineering and Management, Yuan Ze University, Taoyuan City, Taiwan

5. Faculty of Informatics and Computing, Singidunum University, Danijelova, Belgrade, Serbia

6. School of Mathematics and Statistics, Southwest University, Beibei, Chongqing, China

7. Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai, Tamilnadu, India

Abstract

This article uses the Aczel-Alsina t-norm and t-conorm to make several new linguistic interval-valued intuitionistic fuzzy aggregation operators. First, we devised some rules for how linguistic interval-valued intuitionistic fuzzy numbers should work. Then, using these rules as a guide, we created a set of operators, such as linguistic interval-valued intuitionistic fuzzy Aczel-Alsina weighted averaging (LIVIFAAWA) operator, linguistic interval-valued intuitionistic fuzzy Aczel-Alsina weighted geometric (LIVIFAAWG) operator, linguistic interval-valued intuitionistic fuzzy Aczel-Alsina ordered weighted averaging (LIVIFAAOWA) operator, linguistic interval-valued intuitionistic fuzzy Aczel-Alsina ordered weighted geometric (LIVIFAAOWG) operator, linguistic interval-valued intuitionistic fuzzy Aczel-Alsina hybrid weighted averaging (LIVIFAAHWA) operator and linguistic interval-valued intuitionistic fuzzy Aczel-Alsina hybrid weighted geometric (LIVIFAAHWG) operators are created. Several desirable qualities of the newly created operators are thoroughly studied. Moreover, a multi-criteria group decision-making (MCGDM) method is proposed based on the developed operators. The proposed operators are then applied to real-world decision-making situations to demonstrate their applicability and validity to the reader. Finally, the suggested model is contrasted with the currently employed method of operation.

Publisher

PeerJ

Link

https://peerj.com/articles/cs-1979.pdf

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