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

Looking at decisiveness as crucial, we discuss the existence of an order-preserving function for the nontotal crisp preference relation naturally associated to a nontotal fuzzy preference relation. We further present conditions for the existence of an upper semicontinuous order-preserving function for a fuzzy binary relation on a crisp topological space.

The concept of a fuzzy set was introduced by Zadeh [13], and later Chang [3] defined fuzzy topological spaces. These spaces and their generalizations are later studied by several authors, one of which, developed by Šostak [11, 12], used the idea of degree of openness. This type of generalization of fuzzy topological spaces was later rephrased by Chattopadhyay et al. [4], and by Ramadan [10]. In...

The purpose o f this paper i s to introduce and study the concepts of intuitionistic fuzzy π generalized s e m i c o n n e c t e d n e s s in intuitionistic fuzzy topological space. Some of their properties are explored.

in this paper, the concept of {sl local base with  stratifiedstructure} in $i$-topological vector spaces is introduced. weprove that every $i$-topological vector space has a balanced localbase with stratified structure. furthermore, a newcharacterization of $i$-topological vector spaces by means of thelocal base with stratified structure is given.

We show that the Floer cohomology and quantum cohomology rings of the almost Kähler manifold M , both defined over the Novikov ring of the loop space LM , are isomorphic. We do it using a BRST trivial deformation of the topological A-model. The relevant aspect of noncompactness of the moduli of pseudoholomorphic instantons is discussed. It is shown nonperturbatively that any BRST trivial deform...