Interval-valued Pythagorean fuzzy multi-criteria decision-making method based on the set pair analysis theory and Choquet integral

• Published in: Complex & intelligent systems Vol. 9; no. 1; pp. 51 - 63
• Main Authors: Li, Feng, Xie, Jialiang, Lin, Mingwei
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01.02.2023; Springer Nature B.V; Springer
• Subjects: Accuracy; Choquet integral; Complexity; Computational Intelligence; Connection number; Data Structures and Information Theory; Decision analysis; Decision making; Decision theory; Engineering; Fuzzy logic; Fuzzy sets; Intelligent systems; Interval-valued Pythagorean fuzzy set; Methods; Multi-criteria decision-making; Multiple criteria decision making; Multiple criterion; Original; Original Article; Ratings & rankings; Set pair analysis; Connection number; Set pair analysis; Choquet integral; Interval-valued Pythagorean fuzzy set; Multi-criteria decision-making
• ISSN: 2199-4536; 2198-6053; 2198-6053
• DOI: 10.1007/s40747-022-00778-7

This paper proposes a novel fuzzy multi-criteria decision-making method based on an improved score function of connection numbers and Choquet integral under interval-valued Pythagorean fuzzy environment. To do so, we first introduce a method to convert interval-valued Pythagorean fuzzy numbers into connection numbers based on the set pair analysis theory. Then an improved score function of connection numbers is proposed to make the ranking order of connection numbers more in line with reality in multi-criteria decision-making process. In addition, some properties of the proposed score function of connection numbers and some examples have been given to illustrate the advantages of conversion method proposed in the paper. Then, considering interactions among different criteria, we propose a fuzzy multi-criteria decision-making approach based on set pair analysis and Choquet integral under interval-valued Pythagorean fuzzy environment. Finally, a case of online learning satisfaction survey and a brief comparative analysis with other existing approaches are studied to show that the proposed method is simple,convenient and easy to implement. Comparing with previous studies, the method in this paper, from a new perspective, effectively deals with multi-criteria decision-making problems that the alternatives cannot be reasonably ranked in the decision-making process under interval-valued Pythagorean fuzzy environment.