Title :
Fully fuzzified linear programming: an evolutionary algorithm approach
Author :
Feuring, Thomas ; Buckley, James J. ; Hayashi, Yoichi
Author_Institution :
Munster Univ., Germany
Abstract :
We attempt to find solutions to the fully fuzzified linear program where all the parameters and variables are fuzzy numbers. We first change the problem of maximizing a fuzzy number, the value of the objective function, into a multiobjective fuzzy linear programming problem. We prove that fuzzy flexible programming can be used to explore the whole undominated set to the multiobjective fuzzy linear program. An evolutionary algorithm is designed to solve the fuzzy flexible program. The program was applied to two applications with good solutions
Keywords :
fuzzy set theory; genetic algorithms; linear programming; evolutionary algorithm; fuzzy linear programming; fuzzy numbers; fuzzy set theory; multiobjective programming; objective function; Algorithm design and analysis; Arithmetic; Bismuth; Costs; Evolutionary computation; Fuzzy sets; Linear programming; Search methods;
Conference_Titel :
Fuzzy Systems Proceedings, 1998. IEEE World Congress on Computational Intelligence., The 1998 IEEE International Conference on
Conference_Location :
Anchorage, AK
Print_ISBN :
0-7803-4863-X
DOI :
10.1109/FUZZY.1998.687558