The advanced defuzzification methods of the convex α – cut fuzzy sets

The main features of the fuzzy sets and their corresponding membership functions were presented in terms fuzzification process further by de-fuzzification operation. convexity α -(alfa) cuts is used decomposition sets. alfa defined precisely pair lowest upper greatest lower bounds. convex combination intervals sub-regions function considered as points defuzzified values methods to crisp formulas find defuzzification regions de-fuzzified values. compositional concepts inference expansion extension principle introduced formalize reasoning set rules based on approximate reasoning.