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A Solving Method for Fuzzy Linear Programming Problem with Interval Type-2 Fuzzy Numbers

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Abstract

Thus far, many methods have been suggested to solve the fuzzy linear programming (FLP) problems with interval type-2 fuzzy numbers (IT2FNs) ambiguous of kind Vagueness (uncertainty at the satisfaction level of the objective function and constraints), while studies on models of the interval type-2 FLP problems with uncertainty of kind Ambiguity in which all or part of the parameters are ambiguous (all or part of the coefficients in FLP problem are IT2FNs) are very limited. In this paper, first, an interval type-2 FLP problem with uncertainty of kind Ambiguity was considered generally and all the coefficients in the problem were interval type-2 triangular fuzzy numbers. Next, a method for solving it based on the nearest interval approximation was proposed. Finally, the method was illustrated using some numerical examples.

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Acknowledgements

We would like to thank the anonymous referees for their constructive comments and suggestions that have helped to improve this paper.

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Authors and Affiliations

  1. Mathematics Department, University of Sistan and Baluchestan, Zahedan, Iran

    Moslem Javanmard & Hassan Mishmast Nehi

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  1. Moslem Javanmard
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  2. Hassan Mishmast Nehi
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Correspondence to Hassan Mishmast Nehi.

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Javanmard, M., Mishmast Nehi, H. A Solving Method for Fuzzy Linear Programming Problem with Interval Type-2 Fuzzy Numbers. Int. J. Fuzzy Syst. 21, 882–891 (2019). https://doi.org/10.1007/s40815-018-0591-3

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  • DOI: https://doi.org/10.1007/s40815-018-0591-3

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