The exact defuzzification method under polynomial approximation of various fuzzy sets

This article deals with the new approach of finding defuzzification / ranking index various types fuzzy sets. Traditionally, in most articles on decision making methods are not justified respect to that highest aspiration levels. study highlights an efficient (ranking) method which links between gaps defuzzified values obtained using ?-cuts and without numbers. Moreover, for a given problem different membership grades found by researchers confusing contradicts conceptual uniqueness set itself. To resolve these issues, first all, we have studied polygonal means interpolating polynomial function. However, theory usually seek grade any kind decision-making therefore, maximizing function, get value proposed set. An artificial intelligence (AI) based solution algorithm has also been developed find exact value. Indeed, considering two numerical examples compared some existing state of- arts under higher Finally, graphical illustrations done justify approach.