A new approach for ranking fuzzy numbers by distance method
Fuzzy Sets and Systems
Comparison of fuzzy numbers using a fuzzy distance measure
Fuzzy Sets and Systems - Fuzzy intervals
Formulation of fuzzy linear programming problems as four-objective constrained optimization problems
Applied Mathematics and Computation
Unsatisfying functions and multiobjective fuzzy satisfaction design using genetic algorithms
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
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This paper proposes a novel environmental/economic load dispatch model by considering the fuel cost and emissionfunctions with uncertain co-efficients and the constraints of a ramp rate. The uncertain coefficients are represented by fuzzy numbers, and the model is known as fuzzy dynamic environmental/economic load dispatch (FDEELD) model. A novel weighted ideal point method (WIPM) is developed to solve the FDEELD problem. The FDEELD problem is first converted into a single objective fuzzy nonlinear programming by using the WIPM. A hybrid evolutionary algorithm with quasi-simplex techniques is then used to solve the corresponding single objective optimization problem. A method of disposing constraint and a fuzzy number ranking method are also applied to compare fuzzy weighted objective function values of different points. Experimental results show that FDEELD model is more practical; the algorithm and techniques proposed are efficient to solve FDEELD problems.