On linear programming model with Fuzzy Intuitionistic cost coefficients

Fuzzy set is a set of mathematical rules for displaying data based on the degree of membership, and unlike the classical two-value logic, is a multi-value logical one. In such a way that the degree of membership of each member is continuously used from rational values. Since then, fuzzy sets have grown rapidly and have found wide applications in a variety of disciplines. Over time, there have been some issues in the theory of fuzzy sets that fuzzy science was unable to solve such problems. To solve these problems, is introduced as a generalization of fuzzy sets which is called Fuzzy Intuitionistic (FI) sets. The difference between fuzzy and fuzzy sets of intuition is that in fuzzy sets, only the degree of their membership for the elements is expressed, but in the Intuitionistic fuzzy sets, in addition to the degree of membership, the degree of non-membership is also defined, as well a degree is called the degree of doubt or ambiguity. In this paper, we extend the classical fuzzy linear programming models to the Fuzzy Intuitionistic Linear Programming (FILP) models. A simplex based method is proposed to solve these problems. Finally, some numerical examples are given to illustrate the proposed method.

کلیدواژه ها:

Intuitionistic fuzzy sets ، Simplex method ، Fuzzy linear programming ، Fuzzy intuitionistic linear programming