Fuzzy optimization problem with an interval coefficients approach
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In this paper we consider a fuzzy programming problem, in which the coefficients of objective function are fuzzy numbers. Since α-cuts of this numbers are crisp intervals,therefore the above problem is converted into a problem whose objective functions’coefficients are interval coefficients. By using the order relations between intervals in the form of right limit, left limit, center and half width, the problem is converted into a multi objective problem and then it is solved by usual techniques. Finally a numerical example is given to illustrate this method.
Abstract
In this paper we consider a fuzzy programming problem, in which the coefficients of objective function are fuzzy numbers. Since α-cuts of this numbers are crisp intervals,therefore the above problem is converted into a problem whose objective functions’coefficients are interval coefficients. By using the order relations between intervals in the form of right limit, left limit, center and half width, the problem is converted into a multi objective problem and then it is solved by usual techniques. Finally a numerical example is given to illustrate this method.
참고문헌 (8)
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- Sengupta, J.K, "Stochastic Programming: Method and Applications" (1972), North-Holland
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