SOME AGGREGATION OPERATORS FOR BIPOLAR-VALUED HESITANT FUZZY INFORMATION BASED ON EINSTEIN OPERATIONAL LAWS
Tahir Mahmood1, Kifayat Ullah2, Murad Ullah3*, Naeem Jan4, Irfan Deli5, Qaisar Khan6
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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December 2017
Vol 36 No 2 (2017)
