Journal
INTERNATIONAL JOURNAL OF KNOWLEDGE-BASED AND INTELLIGENT ENGINEERING SYSTEMS
Volume 21, Issue 3, Pages 189-201Publisher
IOS PRESS
DOI: 10.3233/KES-170363
Keywords
Multiple attribute decision making (MADM); Pythagorean fuzzy values; Hamacher aggregation operators; Pythagorean fuzzy Hamacher hybrid average (PFHHA) operator; Pythagorean fuzzy Hamacher hybrid geometric (PFHHG) operator
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Funding
- National Natural Science Foundation of China [71571128, 61174149]
- Humanities and Social Sciences Foundation of Ministry of Education of the People's Republic of China [16XJA630005]
- Construction Plan of Scientific Research Innovation Team for Colleges and Universities in Sichuan Province [15TD0004]
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In this paper, we utilize Hamacher operations to develop some Pythagorean fuzzy aggregation operators: Pythagorean fuzzy Hamacher weighted average (PFHWA) operator, Pythagorean fuzzy Hamacher weighted geometric (PFHWG) operator, Pythagorean fuzzy Hamacher ordered weighted average (PFHOWA) operator, Pythagorean fuzzy Hamacher ordered weighted geometric (PFHOWG) operator, Pythagorean fuzzy Hamacher hybrid average (PFHHA) operator and Pythagorean fuzzy Hamacher hybrid geometric (PFHHG) operator. The prominent characteristic of these proposed operators are studied. Then, we have utilized these operators to develop some approaches to solve the Pythagorean fuzzy multiple attribute decision making problems. Finally, a practical example is given to verify the developed approach and to demonstrate its practicality and effectiveness.
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