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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 

International Islamic University, Islamabad, Pakistan, Department of Mathematics & Statistics, International Islamic University, Islamabad, Pakistan,Islamia College Peshawar, Pakistan, Muallim Rıfat Faculty of Education, Kilis 7 Aralık University, Kilis, Turkey, 

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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Journal of Engineering and Applied Sciences

December

Vol. 42, pp. 01-48

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