{"title":"Adaptation of Iterative Methods to Solve Fuzzy Mathematical Programming Problems","authors":"Ricardo C. Silva, Luiza A. P. Cantao, Akebo Yamakami","country":null,"institution":"","volume":20,"journal":"International Journal of Mathematical and Computational Sciences","pagesStart":614,"pagesEnd":620,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/6547","abstract":"Based on the fuzzy set theory this work develops two\r\nadaptations of iterative methods that solve mathematical programming\r\nproblems with uncertainties in the objective function and in\r\nthe set of constraints. The first one uses the approach proposed by\r\nZimmermann to fuzzy linear programming problems as a basis and\r\nthe second one obtains cut levels and later maximizes the membership\r\nfunction of fuzzy decision making using the bound search method.\r\nWe outline similarities between the two iterative methods studied.\r\nSelected examples from the literature are presented to validate the\r\nefficiency of the methods addressed.","references":null,"publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 20, 2008"}