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An Extension On Fuzzy Integer Linear Programming With Equality Constrains

Author

Listed:
  • Manuel Díaz-Madroñero

    (Research Centre on Production Management and Engineering (CIGIP), Universitat Politècnica de València, Spain.)

  • Josefa Mula

    (Research Centre on Production Management and Engineering (CIGIP), Universitat Politècnica de València, Spain.)

  • Mariano Jiménez

    (Department of Applied Economy, Universidad del País Vasco, Spain.)

Abstract

Jiménez et al. (2007) propose a method for solving linear programming problems with fuzzy coefficients by using a fuzzy ranking method to rank the fuzzy objective values and to deal with the inequality relation on constraints with decision variables considered to be real numbers. Here, we formulate an extended fuzzy ranking method to deal with equality relations on constraints under integrity conditions by building a fuzzy subset in the integer decision space, whose membership function represents the balance between the feasibility degree of constraints and the satisfaction degree of the goal. A numerical example is used to illustrate our proposal.

Suggested Citation

  • Manuel Díaz-Madroñero & Josefa Mula & Mariano Jiménez, 2014. "An Extension On Fuzzy Integer Linear Programming With Equality Constrains," Fuzzy Economic Review, International Association for Fuzzy-set Management and Economy (SIGEF), vol. 0(2), pages 35-45, November.
    • Handle: RePEc:fzy:fuzeco:v:xix:y:2014:i:2:p:35-45
    as

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    More about this item

    Keywords

    fuzzy logic; integer programming; equality constraints; ranking fuzzy numbers;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory

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