SOME AGGREGATION OPERATORS FOR BIPOLAR-VALUES HESITANT FUZZY INFORMATION BASED ON EINSTEIN OPERATIONAL LAWS
Tahir Mahmood, Kifayat Ullah, Murad Ullah, Naeem Jan, Irfan Deli, Qaisar Khan
ABSTRACT
This article is based on Einstein operations for bipolar-valued hesitant fuzzy sets (BVHFSs). We extend the concept of Einstein operators for BVHFSs by defining bipolar-valued hesitant fuzzy Einstein weighted averaging (BPVHFEWA) operators and weighted geometric (BPVHFEWG) operators. Similarly, we define ordered weighted averaging operators and hybrid operators i.e. BVHFEOWA operators, BVHFEOWG operators, BVHFEHA operator and BVHFEHG operator. Further, these operators are applied in decision making DM) problems.
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