Pythagorean fuzzy Bonferroni mean aggregation operator and its accelerative calculating algorithm with the multithreading. Issue 3 (12th January 2018)

• Record Type: Journal Article
• Authors: Liang, Decui; Zhang, Yinrunjie; Xu, Zeshui; Darko, Adjei Peter
• Is Part Of: International journal of intelligent systems. Volume 33:Issue 3(2018)
• Page Start: 615
• Page End: 633
• Publication Date: 2018-01-12
• Subjects: multicriteria decision making -- Pythagorean fuzzy sets -- Bonferroni mean -- multithreading; Artificial intelligence -- Periodicals; Expert systems (Computer science) -- Periodicals; Intelligence artificielle -- Périodiques; Systèmes experts (Informatique) -- Périodiques; 006.3
• DOI: 10.1002/int.21960
• Languages: English
• ISSNs: 0884-8173

Abstract

Abstract: In this paper, we study the well‐known Bonferroni mean and develop its generalized aggregation operators in the Pythagorean fuzzy environment. More specifically, by considering the interrelationship between arguments with Pythagorean fuzzy information, we develop the Pythagorean fuzzy Bonferroni mean (PFBM) and some special properties and cases of them are also discussed. Furthermore, taking the multicriteria decision making environment into consideration, we extend the results of PFBM and develop the weighted Pythagorean fuzzy Bonferroni mean (WPFBM). Meanwhile, we also propose an approach for the application of WPFBM. However, during the application of the WPFBM operator, the calculation is very complex and time consuming. Hence, we introduce the multithreading into the application of the WPFBM operator and develop an accelerative calculating algorithm for it. To validate the performance of the accelerative calculating algorithm, we further design the corresponding experimental analysis.