In this paper, we consider a fuzzy multi-choice linear programmingproblem where some of the parameters and decision variables are trapezoidal type fuzzy numbers. In order to defuzzify a general fuzzy quantity the con...
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In this paper, we consider a fuzzy multi-choice linear programmingproblem where some of the parameters and decision variables are trapezoidal type fuzzy numbers. In order to defuzzify a general fuzzy quantity the concept of nearest trapezoidal fuzzy number is introduced. By assuming all the decision variables as trapezoidal fuzzy number, the objective function and the left hand side of constraints are approximated to their nearest trapezoidal fuzzy number. Interpolating polynomials are formulated for all multi-choice type parameters. Multi-choice type parameters are replaced by polynomials with integer variables. Then an equivalent multi-objective non linear programmingproblem is established. First and second objective functions represent left and right modal values of the trapezoidal type fuzzy number, where as the third and fourth objective functions represent the left and right spreads of the trapezoidal type fuzzy number. By applying lexicographic method optimal solution is obtained. In addition, a case study on a garment manufacture company is presented to demonstrate the solution procedure.
In the present paper, the quasiconcavity of membership functions is generalized based on conjunctive aggregation functions, and the properties of the generalized quasiconcavity are investigated. fuzzy multicriteria an...
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In the present paper, the quasiconcavity of membership functions is generalized based on conjunctive aggregation functions, and the properties of the generalized quasiconcavity are investigated. fuzzy multicriteria and scalar programmingproblems are then considered, and the properties of Pareto optimal solutions and compromise solutions as well as their relationships are derived. Finally, we discuss the application of the obtained results to facility location problems. Crown Copyright (c) 2011 Published by Elsevier B.V. All rights reserved.
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