WASPAS method and Aczel-Alsina aggregation operators for managing complex interval-valued intuitionistic fuzzy information and their applications in decision-making

Haojun Fang; Tahir Mahmood; Zeeshan Ali; Shouzhen Zeng; Yun Jin

doi:10.7717/peerj-cs.1362

WASPAS method and Aczel-Alsina aggregation operators for managing complex interval-valued intuitionistic fuzzy information and their applications in decision-making

PeerJ Comput Sci. 2023 May 11:9:e1362. doi: 10.7717/peerj-cs.1362. eCollection 2023.

Authors

Haojun Fang¹, Tahir Mahmood², Zeeshan Ali², Shouzhen Zeng^{3

4}, Yun Jin¹

Affiliations

¹ Wuxi Vocational College of Science and Technology, Wuxi, China.
² International Islamic University Islamabad, Islamabad, Pakistan.
³ Ningbo University, Ningbo, China.
⁴ Zhejiang Gongshang University, Hangzhou, China.

Abstract

Aczel-Alsina t-norm and t-conorm are a valuable and feasible technique to manage ambiguous and inconsistent information because of their dominant characteristics of broad parameter values. The main theme of this analysis is to explore Aczel-Alsina operational laws in the presence of the complex interval-valued intuitionistic fuzzy (CIVIF) set theory. Furthermore, we derive the theory of aggregation frameworks based on Aczel-Alsina operational laws for managing the theory of CIVIF information. The CIVIF Aczel-Alsina weighted averaging (CIVIFAAWA), CIVIF Aczel-Alsina ordered weighted averaging (CIVIFAAOWA), CIVIF Aczel-Alsina hybrid averaging (CIVIFAAHA), CIVIF Aczel-Alsina weighted geometric (CIVIFAAWG), CIVIF Aczel-Alsina ordered weighted geometric (CIVIFAAOWG) and CIVIF Aczel-Alsina hybrid geometric (CIVIFAAHG) operators are proposed, and their well-known properties and particular cases are also detailly derived. Further, we derive the theory of the WASPAS method for CIVIF information and evaluate their positive and negative aspects. Additionally, we demonstrate the multi-attribute decision-making (MADM) strategy under the invented works. Finally, we express the supremacy and dominancy of the invented methods with the help of sensitive analysis and geometrical shown of the explored works.

Keywords: Aczel-Alsina aggregation operators; Complex interval-valued intuitionistic fuzzy sets; Decision-making strategy; WASPAS method.

Grants and funding

This article is funded by the Qinglan Project of Jiangsu Province, Jiangsu Famous Teacher’s Studio of Dual Qualification for Vocational Education and Intelligent Equipment Manufacturing. The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.