HAMACHER OPERATIONS ON BIPOLAR INTUITIONISTIC FUZZY MATRICES
Keywords:
Bipolar fuzzy set (BFS), Bipolar fuzzy matrix (BFM), Bipolar intuitionistic fuzzy sets (BIFSs), Bipolar intuitionistic fuzzy matrices (BIFMs), Hamacher sum, Hamacher product, Multiplication and Exponentiation.Abstract
Bipolar fuzzy sets are currently a robust area in several industries. Moreover, bipolar fuzzy matrices are a highly regarded topic in many fields of psychology, qualitative reasoning, multiple criteria decision making etc,. Issues to be solved in a society can be both negative and positive. In this manuscript, we define Hamacher sum, Hamacher product, Hamacher scalar multiplication (〖m.〗_h R) and Hamacher exponentiation (R^(∧_h m)) operations on bipolar intuitionistic fuzzy matrices (BIFMs). Moreover, we investigates their algebraic characteristics on BIFMs.
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Published
30-06-2024
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