Let a topological space. An intersection graph on a topological space , which denoted by ‎ , is an undirected graph which whose vertices are open subsets of and two vertices are adjacent if the intersection of them are nonempty. In this paper, the relation between topological properties of  and graph properties of ‎  are investigated. Also some classifications and representations for the graph ...

In this paper, we introduce the concept of H(i) connected ditopological texture space. We develop some basic properties of bicontinuity and connectedness in term of ditopological texture space which will used inH(i) connected ditopological texture space. We have established some correspondence related to known structure such as bitopological space, fuzzy lattice and topological space.

The backing of the fuzzy ideal is normal ideal in some ring and in same time there fuzzy set whose is not fuzzy ideal and it backing set is ideal, i.e., it crisp is normal ideal. Consequently, in this paper we constructing a fuzziness function which defined on fuzzy sets and assigns membership grade for every fuzzy set whose it backing set are crisp ideal. Now, Let  be collection of all fuzzy s...

Let K be a (commutative) locally compact hypergroup with a left Haar measure. Let L1(K) be the hypergroup algebra of K and UCl(K) be the Banach space of bounded left uniformly continuous complex-valued functions on K. In this paper we show, among other things, that the topological (algebraic) center of the Banach algebra UCl(K)* is M(K), the measure algebra of K.

This paper aims to study fuzzy order bounded linear operators between two Riesz spaces. Two lattice operations are defined make the set of all as a space when codomain is Dedekind complete. As special case, separation property in dual studied. Furthermore, we studied norms compatible with ordering (fuzzy norm space) and discussed relation topological locally convex solid space.

Following the introduction of fuzzy sets in 1965, a notion of fuzzy topological group was proposed by Foster in 1979: essentially he took a group and furnished it with a fuzzy topological structure. An equivalent notion of fuzzy topological group was introduced by Ma and Yu in 1984 by replacing points by fuzzy points. Recently two of the coauthors have introduced the notion of the topology indu...

in this paper we introduce the concept of topological number for locally convex topological spaces and prove some of its properties. it gives some criterions to study locally convex topological spaces in a discrete approach.

The aim of this paper is to introduce and study a new concept of the fuzzy I− convergent χ space defined by modulus and also some topological properties of the resulting sequence spaces of fuzzy numbers were examined. 2078 N. Kavitha, N. Saivaraju and N. Subramanian Mathematics Subject Classification: 40A05, 40C05, 40D05