Sensitivity analysis in interval-valued trapezoidal fuzzy number linear programming problems
The aim of this article is to introduce a formulation of fuzzy linear programming problems involving the level (hL,hU)-interval-valued trapezoidal fuzzy numbers as parameters. Indeed, such a formulation is the general form of trapezoidal fuzzy number linear programming problems. Then, it is demonstr...
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| Vydáno v: | Applied mathematical modelling Ročník 38; číslo 1; s. 50 - 62 |
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| Jazyk: | angličtina |
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01.01.2014
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| ISSN: | 0307-904X |
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| Abstract | The aim of this article is to introduce a formulation of fuzzy linear programming problems involving the level (hL,hU)-interval-valued trapezoidal fuzzy numbers as parameters. Indeed, such a formulation is the general form of trapezoidal fuzzy number linear programming problems. Then, it is demonstrated that study of the sensitivity analysis for the level (hL,hU)-interval-valued trapezoidal fuzzy number linear programming problems gives rise to the same expected results as those obtained for trapezoidal fuzzy number linear programming problems. |
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| AbstractList | The aim of this article is to introduce a formulation of fuzzy linear programming problems involving the level (hL,hU)-interval-valued trapezoidal fuzzy numbers as parameters. Indeed, such a formulation is the general form of trapezoidal fuzzy number linear programming problems. Then, it is demonstrated that study of the sensitivity analysis for the level (hL,hU)-interval-valued trapezoidal fuzzy number linear programming problems gives rise to the same expected results as those obtained for trapezoidal fuzzy number linear programming problems. The aim of this article is to introduce a formulation of fuzzy linear programming problems involving the level (h super(L), h super(U))-interval-valued trapezoidal fuzzy numbers as parameters. Indeed, such a formulation is the general form of trapezoidal fuzzy number linear programming problems. Then, it is demonstrated that study of the sensitivity analysis for the level (h super(L) , h super(U))-interval-valued trapezoidal fuzzy number linear programming problems gives rise to the same expected results as those obtained for trapezoidal fuzzy number linear programming problems. The aim of this article is to introduce a formulation of fuzzy linear programming problems involving the level (hL,hU)(hL,hU)-interval-valued trapezoidal fuzzy numbers as parameters. Indeed, such a formulation is the general form of trapezoidal fuzzy number linear programming problems. Then, it is demonstrated that study of the sensitivity analysis for the level (hL,hU)(hL,hU)-interval-valued trapezoidal fuzzy number linear programming problems gives rise to the same expected results as those obtained for trapezoidal fuzzy number linear programming problems. |
| Author | Farhadinia, B. |
| Author_xml | – sequence: 1 givenname: B. surname: Farhadinia fullname: Farhadinia, B. email: bfarhadinia@yahoo.com.au organization: Department of Mathematics, Daneshgah Mohandesi Fanavarihay Noiin, Quchan, Iran |
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| Keywords | Fuzzy linear programming Sensitivity analysis Interval-valued trapezoidal fuzzy number Signed distance ranking Fuzzy primal and dual simplex algorithms |
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| SubjectTerms | Fuzzy Fuzzy linear programming Fuzzy logic Fuzzy primal and dual simplex algorithms Fuzzy set theory Fuzzy systems Interval-valued trapezoidal fuzzy number Linear programming Mathematical models Sensitivity analysis Signed distance ranking |
| Title | Sensitivity analysis in interval-valued trapezoidal fuzzy number linear programming problems |
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