Proposing a Fuzzy Flexible-Possibilistic Model for Multi-Objective Fuzzy Programming Problems

Linear programming is a powerful tool to formulate lots of problems because a lot of problems can be transformed to linear programming problems and also there are many effective approaches to solve them. But in many practical cases we cannot determine the exact values of parameters or variables. In these situation we can use the fuzzy theory. Thefully fuzzy mathematical programming problems are the problems that all the parameters, decision variables and the coefficient of variables in objective function and constraints are fuzzy. To solve these problems some method is developed. In this paper we combine this characteristic by the problems that are multi-objective and also their objectivefunction and constraints are fuzzy. The focus of our research is on Flexible, Possibilistic and Multi-Objective Fuzzy Mathematical Programming Problems. To solve these problems, we combine some methods presented by Kumar et al. (2011), Ezzati et al. (2015), Momeni and Hosseinzadeh (2013), Pishvaee and Torabi (2010), Torabi and Hassini (2008),Jiménez et al. (2007) and Werners (1988). Then a numerical example is solving and the comparison among three models is done. Results show that the better answer is based on Momeni and Hosseinzadeh s model.

کلیدواژه ها:

Fully Fuzzy Mathematical Programming ، Flexible Programming ، Possibilistic Programming ، Multiobjective