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Information Journal Paper

Title

A Survey on Different Solution Concepts in Multiobjective Linear Programming Problems with Interval Coefficients

Pages

  25-35

Abstract

 Optimization problems have dedicated a branch of research to themselves for a long time ago. In this field, multiobjective programming has special importance. Since in most real-world multiobjective programming problems the possibility of determining the coefficients certainly is not existed, Multiobjective Linear Programming problems with interval coefficients are investigated in this paper. Corresponding to such problems, four solution concepts, (, )  A b necessarily weak efficient, (, )  A b necessarily efficient, (, , )  A b C necessarily weak efficient and (, , )  A b C necessarily efficient, are introduced. Moreover, necessary and sufficient conditions for recognizing such solutions are presented. Finally, the efficiency of the results is investigated in some numerical examples.

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    APA: Copy

    Gholinezhad, Sh., & RIVAZ, S.. (2021). A Survey on Different Solution Concepts in Multiobjective Linear Programming Problems with Interval Coefficients. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), 18(2 (69) ), 25-35. SID. https://sid.ir/paper/411456/en

    Vancouver: Copy

    Gholinezhad Sh., RIVAZ S.. A Survey on Different Solution Concepts in Multiobjective Linear Programming Problems with Interval Coefficients. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS)[Internet]. 2021;18(2 (69) ):25-35. Available from: https://sid.ir/paper/411456/en

    IEEE: Copy

    Sh. Gholinezhad, and S. RIVAZ, “A Survey on Different Solution Concepts in Multiobjective Linear Programming Problems with Interval Coefficients,” JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), vol. 18, no. 2 (69) , pp. 25–35, 2021, [Online]. Available: https://sid.ir/paper/411456/en

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