A model for the "Fuzzy TOPSIS" based on Zadde's extension principle

The TOPSIS process is one of the most comprehensive systems designed for decision making with multiple criteria, since this technique enables formulation of the problem as decision matrix, as well as the possibility of considering different quantitative and qualitative criteria in the problem. Fuzzy TOPSIS methods have been introduced to make fundamental decisions that make decisions decisions in these ways, including the lack of precision in fuzzy calculations, which can be attributed to the lack of use of the principle of "Zadeh” in the definition of operators. For example, the multiplication of two triangular fuzzy numbers will not necessarily be triangular fuzzy. However, in most of the fuzzy TOPSIS methods, this is assumed. In this paper, we attempt to first define the ideal vector of false algebra, then two functions are designed for this purpose, then the optimal of these functions can be found using GA. All steps are based on the principle of "Zadeh”".