Fuzzy Super Irresolute Functions

The concept of fuzzy super irresolute function was considered and studied by Šostak's (1985). A comparison between this type and other existing ones is established. Several characterizations, properties, and their effect on some fuzzy topo-logical spaces are studied. Also, a new class of fuzzy topological spaces under the terminology fuzzy S *-closed spaces is introduced and investigated. 1. Introduction and preliminaries. Šostak [10], introduced the fundamental concept of a fuzzy topological structure, as an extension of both crisp topology and Chang fuzzy topology [1], in the sense that not only the objects are fuzzified, but also the axiomatics. In [11, 12], Šostak gave some rules and showed how such an extension can be realized. Chattopadhyay et al. [2, 3] have redefined the same concept. In [8], Ramadan gave a similar definition, namely " smooth topological space. " It has been developed in many directions [4, 5, 6, 7, 13]. In the present note, some counterexamples and characterizations of fuzzy super irresolute functions are examined. It is seen that fuzzy super irresolute function implies each of fuzzy irresolute [9] and fuzzy continuity [10], but not conversely. Also, properties preserved by fuzzy super irresolute functions are examined. Finally, we define a fuzzy S *-closed space in fuzzy topological