In this paper, fuzzy SP-irresolute, fuzzy SP-irresolute open and fuzzy SP-irresolute closed functions between fuzzy topological spaces in Sostak sense are defined. Their properties and the relationships between these functions and other functions introduced previously are investigated. Next fuzzy SP-connectedness is introduced and studied with the help of r -fuzzy strongly preopen sets.

Fuzzy SP-irresolute functions

In this paper, the concepts of strong SP-irresolute, strong SP-open, strong SP-closed and totally SP-continuous mappings are introduced in L-spaces and their properties are researched.

Strong SP-irresolute mappings in L-topological spaces

In this paper, the notions of SPN-compactness, countable SPNcompactness and the SPN-Lindel¨ of property are introduced in L-topological spaces by means of strongly preclosed L-sets. In an L-space, an Lset having the SPN-Lindel¨ of property is SPN-compact if and only if it is countably SPN-compact. (Countable) SPN-compactness implies (countable) N-compactness, the SPN-Lindel¨ of property implies the NLindel¨ of property, but each inverse is not true. Every L-set with finite support is SPN-compact. The intersection of an (a countable) SPN-compact L-set and a strongly preclosed L-set is (countably) SPNcompact. The strong preirresolute image of an (a countable) SPNcompact L-set is (countably) SPN-compact. Moreover SPN-compactness can be characterized by nets.

/pdf/spn-compactness-in-l-topological-spaces-3ch2w5jto3.pdf

Spn-compactness in l-topological spaces

In this paper, fuzzy strong-precompactness and fuzzy strong-preclosed spaces are introduced in fuzzy topological spaces by means of fuzzy strongly preopen sets and fuzzy strongly preclosed sets The concepts of fuzzy strong-precompactness and fuzzy strong-preclosed spaces are defined and fuzzy filterbases are used to characterize these concepts

Fuzzy strong-precompactness and fuzzy strong-preclosed spaces

In this paper, the concept of strong-precompactness is introduced in L-topological spaces by means of strongly preopen L-sets and their inequality, where L is a complete De Morgan algebra. The new concept does not depend on the structure of basis lattice L which does not require any distributivity. Some foundamental properties of strong-precompactness are obtained. Especially, when L is a completely distributive De Morgan algebra, its many characterizations are presented.

A new notion of strong-precompactness in L-topological spaces

The concepts of fuzzy SP-irresolute continuous, fuzzy SP-irresolute open (closed) mappings, and a fuzzy SP-homeomorphism are being introduced and studied. Some of their characteristic properties are being considered. Finally, the claim that fuzzy semiregular properties are fuzzy SP-topological is being proved.

Biljana Krsteska

Papers

Some Fuzzy SP-topological Properties