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Information Journal Paper

Title

Using necessarily weak effcient solutions for solving a biobjective transportation problem with fuzzy objective functions coefficients

Pages

  85-102

Abstract

 This paper considers a Biobjective transportation problem with various fuzzy objective functions coefficients. Fuzzy coefficients can be of different types such as triangular, trapezoidal, (semi) L 􀀀 R, or at (semi) L 􀀀 R fuzzy numbers. First, we convert the problem to a parametric interval Biobjective transportation problem using-cuts of fuzzy coefficients. Then, we consider a fix-cut and obtain a necessarily weak efficient solution to the yielded interval biobjective program by a new algorithm. It uses basic feasible solutions and the parametric simplex algorithm. Furthermore, we suggest another algorithm for finding a reasonable solution, called -necessarily weak efficient, to the main Biobjective transportation problem. To illustrate the validity and performance of the proposed algorithms, we present some numerical examples.

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  • Cite

    APA: Copy

    Zamzamzadeh, A., & YAGHOOBI, M.A.. (2020). Using necessarily weak effcient solutions for solving a biobjective transportation problem with fuzzy objective functions coefficients. IRANIAN JOURNAL OF FUZZY SYSTEMS, 17(3 ), 85-102. SID. https://sid.ir/paper/381799/en

    Vancouver: Copy

    Zamzamzadeh A., YAGHOOBI M.A.. Using necessarily weak effcient solutions for solving a biobjective transportation problem with fuzzy objective functions coefficients. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2020;17(3 ):85-102. Available from: https://sid.ir/paper/381799/en

    IEEE: Copy

    A. Zamzamzadeh, and M.A. YAGHOOBI, “Using necessarily weak effcient solutions for solving a biobjective transportation problem with fuzzy objective functions coefficients,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 17, no. 3 , pp. 85–102, 2020, [Online]. Available: https://sid.ir/paper/381799/en

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