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The present paper defines a new distance function between two trapezoidal fuzzy (TrF) numbers which satisfies all the properties of metric and a degree of deviation between two TrF numbers.… Click to show full abstract
The present paper defines a new distance function between two trapezoidal fuzzy (TrF) numbers which satisfies all the properties of metric and a degree of deviation between two TrF numbers. The proposed degree of deviation has been used to solve a fully fuzzy multi-objective linear programming problem (FMOLPP). The proposed algorithm uses converting a FMOLPP into crisp linear programming problem and then to get Pareto-optimal solution to the problem. Further, with Pareto-optimal solutions a balance Pareto optimal solution of the problem using fuzzy optimization technique has been obtained with minimum deviation degree in decision variables. The developed computational algorithm has been implemented on an example for the validity of the proposed algorithm.
Journal Title: International Journal of Dynamics and Control
Year Published: 2018
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