A Study on Fuzzy Multifunctions in ¿ostak¿s Sense

A Study on Fuzzy Multifunctions in ¿ostak¿s Sense

To Investigate More Structure of Fuzzy Upper and Fuzzy Lower Continuous Multifunctions

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A fuzzy multifunction is a fuzzy set valued function. Fuzzy multifunctions arise in many applications, for instance, the budget multifunction occurs in economic theory, artificial intelligence and decision theory. The biggest difference between fuzzy functions and fuzzy multifunctions has to do with the definition of an inverse image. For a fuzzy multifunction there are two types of inverses. These two definitions of the inverse then leads to two definitions of continuity. Papageorgiou (1985), introduced the notion of fuzzy multifunction and extended the concepts of fuzzy continuous functions ...