In this paper, we introduce the notion of L-topological spaces based on a complete bounded integral residuated lattice and discuss some properties of interior and left (right) closure operators.

In this paper the concept of finitistic spaces in L-topological spaces is introduced by means of α-Q-covers of open Lsubsets. Also a characterization of finitistic spaces in the weakly induced L-topological spaces is obtained. Moreover the behavior of finitistic spaces under various types of maps such as fuzzy perfect maps is also investigated. 48 T. Baiju and Sunil Jacob John

The concepts of γ-compactness, countable γ-compactness, the γ-Lindelöf property are introduced in L-topological spaces by means of γ-open L-sets and their inequalities when L is a complete DeMorgan algebra. These definitions do not rely on the structure of the basis lattice L and no distributivity in L is required.

In this paper we investigate completely homogeneous Ltopological spaces. The smallest completely homogeneous Ltopology on a set X containing an Lset f is called the principal completely homogeneous Ltopology generated by f . Here we also study the principal completely homogeneous Ltopological spaces generated by an Lset and characterize completely homogeneous Alexandroff discrete Ltopological s...

This paper de1nes the new concept of completely Hausdor& axiom of an L-topological space by means of L-continuous mappings from an L-topological space to the re1ned Hutton’s unit L-interval by Wang. Some characterizations of the completely Hausdor& axiom, de1ned in this paper, are given, and many nice properties of this kind of completely Hausdor& axiom are proved. For example, it is hereditary...

the aim of this paper is to introduce the concepts of fuzzy upper and fuzzy lower almost continuous, weakly continuous and almost weakly continuous multifunctions. several characterizations and properties of these multifunctions along with their mutual relationships are established in $l$-fuzzy topological spaces

Intuitionistic propositional logic Int and its extensions, known as intermediate or superintuitionistic logics, in many respects can be regarded just as fragments of classical modal logics containing S4. At the syntactical level, the Godel translation t embeds every intermediate logic L = Int+ into modal logics in the interval L = [ L = S4 t( ); L = Grz t( )]. Semantically this is re ected by ...