The purpose of this paper is to give a topology on a given function space in the category of intuitionistic fuzzy topological spaces and investigate series of its properties. 2010 AMS Classification: 54C35, 54A40

In this paper, we introduce a technique to find the cyclic path covering number of Euler graphs, by using the t-hypohamiltonian graphs. Also a special type of Euler graph in the name n-gon is also being introduced and a general result of cpcn of n-gon is also found. Finally an algorithm to find the cyclic path covering number of any Euler graph is being developed. AMS subject classification: 54...

The aim of this paper is to generalise the concept of intuitionistic fuzzy soft set. Relations on generalised intuitionistic fuzzy soft sets and a few of their algebraic properties are studied. Finally, an adjustable approach to generalised intuitionistic fuzzy soft sets based decision making is presented. 2010 AMS Classification: 54A40

In this paper, we introduce a good definition of semiprecompactness in L-fuzzy topological spaces in Šostak’s sense, where L is a fuzzy lattice. We define this concept on arbitrary L-fuzzy sets, obtain a different characterization and study some of its properties. 2010 AMS Classification: 54A40, 54D30, 53A05

In the present paper, we define regularity and normality like strong S1 regularity, S1 regularity, weak S1 regularity, strong S1 normality, S1 normality as well as weak S1 normality on L-topological spaces. Also we investigate some of their properties and the relations between them. 2010 Mathematics Subject Classification: 54A40, 54D10, 54D15, 54D65, 03E72.

In this paper, generalized fuzzy 2-norms are defined on a set of objects endowed with a structure of linear space. The relationships between these fuzzy 2-norms and fuzzy metrics and between these fuzzy 2-norms and the topological structures induced on a linear space are analyzed. Some open problems in this framework are mentioned. Mathematics Subject Classification: 46A19, 54A40

In this paper, we introduce soft sets over 2 where 2 is the power set of the universe U , propose some operations on soft sets over 2 and investigate some types of soft sets over 2 such as keeping intersection and keeping union. We obtain lattice and topological structures of soft sets over 2 . We consider soft rough approximations and soft rough sets, and obtain structures of soft rough sets. ...

Let M be a 2-torsion free prime Γ-ring and X a nonzero faithful and prime ΓM -module. Then the existence of a nonzero Jordan left derivation d : M → X satisfying some appropriate conditions implies M is commutative. M is also commutative in the case that d : M → M is a derivation along with some suitable assumptions. AMS (MOS) Subject Classification Codes: 03E72, 54A40, 54B15

Some known compactness notions and separation axioms already given in Chang-fuzzy topological spaces are extended to a more general context of categories where I -topological spaces on arbitrary I -sets are de3ned. The invariance under morphisms in these categories and the usual hereditary conditions of the considered topological properties in such a context are investigated. c © 2002 Elsevier ...

In this paper, the Henstock integral for fuzzy-number-valued functions in R is defined and some properties of this integral are discussed. Finally, by using the embedding theorem the fuzzy number space E can be embedded into a concrete space, some characterized theorems for this integral are given. AMS Subject Classification: 94D05, 46S40, 47S40, 54A40