• Journal of applied mathematics & informatics
• /
• v.36 no.1_2
• /
• pp.59-68
• /
• 2018

In this paper, We define and explore the characterizations and properties of soft regular open(closed) and soft semi-regular sets in soft topological spaces. The properties of soft extremally disconnected spaces are also introduced and discussed. The findings in this paper will help researcher to enhance and promote further study on soft topology to carry out a general framework for their applications in practical life.

• Honam Mathematical Journal
• /
• v.33 no.1
• /
• pp.11-17
• /
• 2011

We study some properties of quasi-topological spaces. Also we introduce the concept of Q-continuity and investigate several types of quasi-topology on an SGNS.

• International Journal of Fuzzy Logic and Intelligent Systems
• /
• v.10 no.4
• /
• pp.303-307
• /
• 2010

In this paper, we introduce the concept of fuzzy weakly r-minimal continuous function between a fuzzy r-minimal space and a fuzzy topological space. We investigate characterizations and some properties for the continuity.

• Journal of the Korean Institute of Intelligent Systems
• /
• v.14 no.2
• /
• pp.234-238
• /
• 2004

We introduce the concepts of fuzzy (r, s)-semiopen sets and fuzzy (r, s)-semicontinuous mappings on intuitionistic fuzzy topological spaces in Sostak's sense and then we investigate some of their characteristic properties.

• The Pure and Applied Mathematics
• /
• v.11 no.3
• /
• pp.217-229
• /
• 2004

In this paper, we introduce the concepts of interior of a fuzzy set and several types of fuzzy compactness and fuzzy RS-compactness in a redefined fuzzy topological space and investigate their properties.

• Bulletin of the Korean Mathematical Society
• /
• v.42 no.2
• /
• pp.379-386
• /
• 2005

In this paper, we consider a collection of ideals of a difference algebra X. We use the concept of congruence relation with respect to ideals to construct a uniformity that induces a topology on X which makes this to a topological difference algebras. We study the properties of this topology regarding different ideals.

• Journal of the Korean Institute of Intelligent Systems
• /
• v.11 no.2
• /
• pp.161-165
• /
• 2001

We introduce the concept of mated fuzzy topological spaces and then investigate some of their properties.

• Journal of the Korean Institute of Intelligent Systems
• /
• v.9 no.6
• /
• pp.644-649
• /
• 1999

in this paper we introduce the notions of fuzzy r-adherent points fuzzy r-accumulation points and fuzzy r-derived sets in fuzzy topological spaces and investigate some of their properties.

• International Journal of Fuzzy Logic and Intelligent Systems
• /
• v.10 no.2
• /
• pp.124-127
• /
• 2010

In this paper, we introduce the concepts of fuzzy r-minimal continuous function and fuzzy r-minimal open function between a fuzzy r-minimal space and a fuzzy topological space. We also investigate characterizations and properties for such functions.

• Proceedings of the Korean Institute of Intelligent Systems Conference
• /
• 2002.12a
• /
• pp.51-54
• /
• 2002

We investigate some properties of the separation axioms in fuzzy topological spaces.