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Multi objective programming problem in the hesitant fuzzy environment

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Abstract

In this paper, we introduce a hesitant fuzzy multi-objective programming problem, in which the evaluation information provided by the decision makers is expressed in a hesitant fuzzy environment. For this purpose a new solution concept, namely hesitant fuzzy Pareto optimal solution to the problem is introduced, and two methods are proposed to obtain it. Then it is shown that the optimal solutions of these methods are the hesitant fuzzy Pareto optimal solutions. Finally, these methods are implemented on some illustrative examples and comparative analysis of our methodology is taken with other extensions of fuzzy sets.

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Authors and Affiliations

  1. Faculty of Mathematical Sciences and Statistics, University of Birjand, Birjand, Iran

    F. F. Rouhbakhsh & H. Hassanpour

  2. Department of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran

    M. Ranjbar & S. Effati

  3. Center of Excellence of Soft Computing and Intelligent Information Processing (SCIIP), Ferdowsi University of Mashhad, Mashhad, Iran

    S. Effati

Authors
  1. F. F. Rouhbakhsh
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  2. M. Ranjbar
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  3. S. Effati
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  4. H. Hassanpour
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Correspondence to S. Effati.

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Rouhbakhsh, F.F., Ranjbar, M., Effati, S. et al. Multi objective programming problem in the hesitant fuzzy environment. Appl Intell 50, 2991–3006 (2020). https://doi.org/10.1007/s10489-020-01682-8

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