On Bipolar-Valued Hesitant Fuzzy Sets and Their Applications in Multi-Attribute Decision Making

Authors

  • Kifayat Ullah International Islamic University, Islamabad
  • T. Mahmood International Islamic University, Islamabad
  • N. Jan International Islamic University, Islamabad
  • S. Broumi University Hassan II, Sidi Othman, Casablanca, Morocco
  • Q. Khan International Islamic University, Islamabad

Abstract

In this manuscript, a novel structure of bipolar-valued hesitant fuzzy set (BPVHFS) is proposed as a
generalization of fuzzy set (FS). The basic set theoretic operations of BPVHFSs are defined and their
related results are studied. Based on the basic operations, some aggregation operators for BPVHFSs
are developed and their fitness is verified using principle of mathematical induction. The multiattribute
decision making (MADM) is established in the framework of BPVHFSs and a numerical
example is provided to illustrate the process. The article ended with some concluding remarks along
with some future directions.

Author Biographies

Kifayat Ullah, International Islamic University, Islamabad

Department of Mathematics & Statistics,

T. Mahmood, International Islamic University, Islamabad

Department of Mathematics & Statistics,

N. Jan, International Islamic University, Islamabad

Department of Mathematics & Statistics,

S. Broumi, University Hassan II, Sidi Othman, Casablanca, Morocco

Laboratory of Information Processing, Faculty of Science Ben M’Sik,

Q. Khan, International Islamic University, Islamabad

Department of Mathematics & Statistics,

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Published

12-10-2018

How to Cite

[1]
K. Ullah, T. Mahmood, N. Jan, S. Broumi, and Q. Khan, “On Bipolar-Valued Hesitant Fuzzy Sets and Their Applications in Multi-Attribute Decision Making”, The Nucleus, vol. 55, no. 2, pp. 93–101, Oct. 2018.

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