Retracted: Some aggregation operators for bipolar-valued hesitant fuzzy information

  • Tahir Mahmood
  • Kifayat Ullah
  • Qaisar Khan
  • Florentin Smarandache
Keywords: Bipolar-valued hesitant fuzzy sets (BPVHFSs), bipolar-valued hesitant fuzzy elements (BPVHFEs), BPVHFOWA operator, BPVHFOWG operator, BPVHFHA operator, BPVHFHG operator, score function and decision making (DM)


This article was withdrawn and retracted by the Journal of Fundamental and Applied Sciences and has been removed from AJOL at the request of the journal Editor in Chief and the organisers of the conference at which the articles were presented ( Please address any queries to


Journal Identifiers

eISSN: 1112-9867