Bipolar Complex Fuzzy Hamacher Aggregation Operators and Their Applications in Multi-Attribute Decision Making

Tahir Mahmood, Ubaid ur Rehman, Jabbar Ahmmad and Gustavo Santos-García
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Tahir Mahmood: Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan
Ubaid ur Rehman: Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan
Jabbar Ahmmad: Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan
Gustavo Santos-García: Facultad de Economía y Empresa and Multidisciplinary Institute of Enterprise (IME), University of Salamanca, 37007 Salamanca, Spain

Mathematics, 2021, vol. 10, issue 1, 1-26

Abstract: On the basis of Hamacher operations, in this manuscript, we interpret bipolar complex fuzzy Hamacher weighted average (BCFHWA) operator, bipolar complex fuzzy Hamacher ordered weighted average (BCFHOWA) operator, bipolar complex fuzzy Hamacher hybrid average (BCFHHA) operator, bipolar complex fuzzy Hamacher weighted geometric (BCFHWG) operator, bipolar complex fuzzy Hamacher ordered weighted geometric (BCFHOWG) operator, and bipolar complex fuzzy Hamacher hybrid geometric (BCFHHG) operator. We present the features and particular cases of the above-mentioned operators. Subsequently, we use these operators for methods that can resolve bipolar complex fuzzy multiple attribute decision making (MADM) issues. We provide a numerical example to authenticate the interpreted methods. In the end, we compare our approach with existing methods in order to show its effectiveness and practicality.

Keywords: bipolar complex fuzzy set; bipolar fuzzy set; Hamacher aggregation; multi-attribute decision making (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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