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Information Journal Paper

Title

LP problems constrained with D-FRIs

Pages

  59-79

Abstract

 In this paper, optimization of a linear objective func-tion with Fuzzy relational inequality constraints is in-vestigated where the feasible region is formed as the in-tersection of two inequality fuzzy systems and Dombi family of t-norms is considered as fuzzy composition. Dombi family of t-norms includes a parametric family of continuous strict t-norms, whose members are increas-ing functions of the parameter. This family of t-norms covers the whole spectrum of t-norms when the param-eter is changed from zero to in nity. The resolution of the feasible region of the problem is rstly investigated when it is de ned with max-Dombi composition. Based on some theoretical results, a necessary and su cient condition and three other necessary conditions are de-rived for determining the feasibility. Moreover, in order to simplify the problem, some procedures are presented.

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    APA: Copy

    GHODOUSIAN, A., & JAFARPOUR, M.. (2018). LP problems constrained with D-FRIs. JOURNAL OF ALGORITHMS AND COMPUTATION, 50(2), 59-79. SID. https://sid.ir/paper/354562/en

    Vancouver: Copy

    GHODOUSIAN A., JAFARPOUR M.. LP problems constrained with D-FRIs. JOURNAL OF ALGORITHMS AND COMPUTATION[Internet]. 2018;50(2):59-79. Available from: https://sid.ir/paper/354562/en

    IEEE: Copy

    A. GHODOUSIAN, and M. JAFARPOUR, “LP problems constrained with D-FRIs,” JOURNAL OF ALGORITHMS AND COMPUTATION, vol. 50, no. 2, pp. 59–79, 2018, [Online]. Available: https://sid.ir/paper/354562/en

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