Journal
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS
Volume 33, Issue 3, Pages 615-633Publisher
WILEY
DOI: 10.1002/int.21960
Keywords
multicriteria decision making; Pythagorean fuzzy sets; Bonferroni mean; multithreading
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Funding
- National Natural Science Foundation of China [71401026, 71432003, 71771155, 71571123, 71571148]
- National Social Science Foundation of China [14BGL152]
- Fundamental Research Funds for the Central Universities of China [ZYGX2014J100]
- Social Science Planning Project of the Sichuan Province [SC15C009]
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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.
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