Branch Mathematics and Statistics Faculty and Staff Publications

Some Aggregation Operators For Bipolar-Valued Hesitant Fuzzy Information

Florentin Smarandache, University of New Mexico
Tahir Mahmood
Kifayat Ullah
Qaisar Khan


In this article we define some aggregation operators for bipolar-valued hesitant fuzzy sets. These operations include bipolar-valued hesitant fuzzy ordered weighted averaging (BPVHFOWA) operator, bipolar-valued hesitant fuzzy ordered weighted geometric (BPVHFOWG) operator and their generalized forms. We also define hybrid aggregation operators and their generalized forms and solved a decision-making problem on these operation.