Ricardo C. Silva and Luiza A. P. Cantao and Akebo Yamakami
Adaptation of Iterative Methods to Solve Fuzzy Mathematical Programming Problems
614 - 619
2008
2
8
International Journal of Mathematical and Computational Sciences
https://publications.waset.org/pdf/6547
https://publications.waset.org/vol/20
World Academy of Science, Engineering and Technology
Based on the fuzzy set theory this work develops two
adaptations of iterative methods that solve mathematical programming
problems with uncertainties in the objective function and in
the set of constraints. The first one uses the approach proposed by
Zimmermann to fuzzy linear programming problems as a basis and
the second one obtains cut levels and later maximizes the membership
function of fuzzy decision making using the bound search method.
We outline similarities between the two iterative methods studied.
Selected examples from the literature are presented to validate the
efficiency of the methods addressed.
Open Science Index 20, 2008