A revisit of a mathematical model for solving fully fuzzy linear programming problem with trapezoidal fuzzy numbers

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EBRAHIMNEJAD A.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

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Journal: JOURNAL OF NEW RESEARCHES IN MATHEMATICS Year:2019 | Volume:5 | Issue:18 Page(s): 145-156

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Title

A revisit of a mathematical model for solving fully fuzzy linear programming problem with trapezoidal fuzzy numbers

Author(s)

EBRAHIMNEJAD A. | Issue Writer Certificate

Keywords

Fully fuzzy linear programmingQ1

Multi–objective linear programming problemQ1

Lexicographic orderingQ1

Trapezoidal Fuzzy NumbersQ1

Abstract

In this paper Fully fuzzy linear programming (FFLP) problem with both equality and inequality constraints is considered where all the parameters and decision variables are represented by non-negative Trapezoidal Fuzzy Numbers. According to the current approach, the FFLP problem with equality constraints first is converted into a multi– objective linear programming (MOLP) problem with crisp constraints and then a Lexicographic ordering method is used for solving the resulting MOLP problem. However, this approach cannot be used for finding the fuzzy optimal solution of FFLP problems with inequality constraints. The aim of this study is to point out and correct some errors in the definitions, notations operations and fuzzy ordering of the current approach for solving FFLP problems with fuzzy inequality constraints. Hence, a modified approach to obtain the fuzzy optimal solution of the FFLP problems with inequality constraints is proposed. Finally, several numerical examples are presented to illustrate the proposed approach.

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APA: Copy

EBRAHIMNEJAD, A.. (2019). A revisit of a mathematical model for solving fully fuzzy linear programming problem with trapezoidal fuzzy numbers. JOURNAL OF NEW RESEARCHES IN MATHEMATICS, 5(18 ), 145-156. SID. https://sid.ir/paper/257316/en

Vancouver: Copy

EBRAHIMNEJAD A.. A revisit of a mathematical model for solving fully fuzzy linear programming problem with trapezoidal fuzzy numbers. JOURNAL OF NEW RESEARCHES IN MATHEMATICS[Internet]. 2019;5(18 ):145-156. Available from: https://sid.ir/paper/257316/en

IEEE: Copy

A. EBRAHIMNEJAD, “A revisit of a mathematical model for solving fully fuzzy linear programming problem with trapezoidal fuzzy numbers,” JOURNAL OF NEW RESEARCHES IN MATHEMATICS, vol. 5, no. 18 , pp. 145–156, 2019, [Online]. Available: https://sid.ir/paper/257316/en

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