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Pythagorean fuzzy Bonferroni mean aggregation operator and its accelerative calculating algorithm with the multithreading
Author(s) -
Liang Decui,
Zhang Yinrunjie,
Xu Zeshui,
Darko Adjei Peter
Publication year - 2018
Publication title -
international journal of intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.291
H-Index - 87
eISSN - 1098-111X
pISSN - 0884-8173
DOI - 10.1002/int.21960
Subject(s) - pythagorean theorem , operator (biology) , bonferroni correction , algorithm , fuzzy logic , computer science , multithreading , mathematics , mathematical optimization , artificial intelligence , statistics , thread (computing) , biochemistry , repressor , transcription factor , gene , operating system , chemistry , geometry
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.