A New Interval-Valued Hesitant Fuzzy-Based Optimization Method

Shailendra Kumar Bharati ()
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Shailendra Kumar Bharati: Department of Mathematics, Kamala Nehru College, University of Delhi, 110049, Delhi, India

New Mathematics and Natural Computation (NMNC), 2022, vol. 18, issue 02, 469-494

Abstract: An interval-valued hesitant fuzzy set (IVHFS) is a best tool to address uncertainty and hesitation of a production planning problem (PPP) which appears in engineering, agriculture, and industrial sectors. Often, a PPP is formulated as a multiobjective linear programming problem (MOLPP) and therefore, it is very necessary to develop a suitable and realistic method to deal MOLPP with uncertainty and hesitation. In this paper, we define a set of possible interval-valued hesitant fuzzy degrees for all objectives, and using this, a MOLPP is converted into a interval-valued hesitant fuzzy linear programming (IVHFLPP). Further, we introduce a new optimization technique based on a new operation of IVHFS, and later it is implemented in a computational method to search a Pareto optimal solution of the considered problem. Further, a PPP is solved by using the proposed method and the result shows the superiority of the proposed computational method over the existing methods.

Keywords: Fuzzy sets; interval-valued hesitant fuzzy sets; linear programming; multiobjective programming; uncertainty and hesitation (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S1793005722500235

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