On extensions of fuzzy topologies
On fuzzy -compact spaces and fuzzy -extremally disconnected spaces
Maximal fuzzy topologies
Fuzzy -open sets and fuzzy -separation axioms
In this paper fuzzy separation axioms have been introduced and investigated with the help of fuzzy -open sets.
On somewhat fuzzy semicontinuous functions
In this paper the concept of somewhat fuzzy semicontinuous functions, somewhat fuzzy semiopen functions are introduced and studied. Besides giving characterizations of these functions, several interesting properties of these functions are also given. More examples are given to illustrate the concepts introduced in this paper.
Fuzzy semi -irresolute functions
A new class of functions called fuzzy semi -irresolute functions in fuzzy topological spaces are introduced in this paper. Some characterizations of this class and its properties and the relationship with other classes of functions between fuzzy topological spaces are also obtained.
On fuzzy nearly C-compactness in fuzzy topological spaces
In this paper the concept of fuzzy nearly C-compactness is introduced in fuzzy topological spaces and fuzzy bitopological spaces. Several characterizations and some interesting properties of these spaces are discussed. The properties of fuzzy almost continuous and fuzzy almost open functions are also discussed.
-separation axioms in ordered fuzzy topological spaces
-separation axioms are introduced in ordered fuzzy topological spaces and some of their basic properties are investigated besides establishing an analogue of Urysohn’s lemma.
Tietze extension theorem for pairwise ordered fuzzy extremally disconnected spaces
In this paper a new class of fuzzy topological spaces called pairwise ordered fuzzy extremally disconnected spaces is introduced. Tietze extension theorem for pairwise ordered fuzzy extremally disconnected spaces has been discussed as in the paper of Kubiak (1987) besides proving several other propositions and lemmas.
Urysohn’s lemma, gluing lemma and contraction mapping theorem for fuzzy metric spaces
In this paper the concept of a fuzzy contraction mapping on a fuzzy metric space is introduced and it is proved that every fuzzy contraction mapping on a complete fuzzy metric space has a unique fixed point.
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