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On fuzzy solution of a linear optimization problem with max-aggregation function relation inequality constraints

Author

Listed:
  • Radko Mesiar

    (Slovak University of Technology)

  • Fateme Kouchakinejad

    (Shahid Bahonar University of Kerman)

  • Alexandra Šipošová

    (Slovak University of Technology)

Abstract

Crisp constraints in the case of linear optimization problem linked to max-aggregation function composition as rule may result in unsatisfactory solution. We propose and discuss a method of getting more feasible solutions, relaxing crisp inequalities/extremes by means of fuzzy sets.

Suggested Citation

  • Radko Mesiar & Fateme Kouchakinejad & Alexandra Šipošová, 2018. "On fuzzy solution of a linear optimization problem with max-aggregation function relation inequality constraints," Annals of Operations Research, Springer, vol. 269(1), pages 521-533, October.
    • Handle: RePEc:spr:annopr:v:269:y:2018:i:1:d:10.1007_s10479-017-2483-6
    DOI: 10.1007/s10479-017-2483-6
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    References listed on IDEAS

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    1. R. E. Bellman & L. A. Zadeh, 1970. "Decision-Making in a Fuzzy Environment," Management Science, INFORMS, vol. 17(4), pages 141-164, December.
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