The generalized Symmetrical Fuzzy linear Programming (SFLP) problem is defined in this paper as involving both fuzzy and nonfuzzy constraints of which fuzzy constraints are represented by linear and nonlinear membersh...
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The generalized Symmetrical Fuzzy linear Programming (SFLP) problem is defined in this paper as involving both fuzzy and nonfuzzy constraints of which fuzzy constraints are represented by linear and nonlinear membership functions. Fuzzy intervals are proposed to represent fuzzy equality constraints. The general form of fuzzy constraints is proposed. By defining the membership function mu(D) as an explicit function of min Z rather than an explicit function of the solution set x, the complete solution set and its existence criterion are studied. The improvement of objective values based on the obtained complete solution set is also discussed. A truck fleet problem presented in the literature is cited to explain the proposed method and to prove the correctness of the solution.
This paper presents an application of fuzzy approaches to the linear vectormaximum problem. It shows that using the fuzzy min-operator together with linear as well as special nonlinearmembershipfunctions the obtaine...
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This paper presents an application of fuzzy approaches to the linear vectormaximum problem. It shows that using the fuzzy min-operator together with linear as well as special nonlinearmembershipfunctions the obtained solutions are always compromise solutions of the original multicriteria problem.
In this paper, we present an interactive fuzzy decisionmaking method for the solution of multiobjective linear programming problems. By considering the imprecise nature of decision maker’s (DM) judgements, we assume ...
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In this paper, we present an interactive fuzzy decisionmaking method for the solution of multiobjective linear programming problems. By considering the imprecise nature of decision maker’s (DM) judgements, we assume that he has fuzzy or imprecise goals for each of the objective functions. Through the use of five types of membershipfunctions including nonlinearfunctions, the fuzzy or imprecise goals of the DM are quantified. Although the formulated problem becomes a nonlinear programming problem, it can be reduced to a set of linear inequalities if some variable is fixed. Based on this idea, we propose a new method by combined use of bisection method and linear programming method. On the basis of the proposed method, FORTRAN programs are developed to implement man-machine interactive procedures. An application to an optimal operation problem in packaging system in automated warehouses is demonstrated together with the computer outputs.
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