• The Pure and Applied Mathematics
• /
• v.15 no.3
• /
• pp.221-227
• /
• 2008

We introduce and study the new concepts of interior and closure operators on strong generalized neighborhood spaces. Also we introduce and investigate the concept of sgn-continuity on SGNS.

• East Asian mathematical journal
• /
• v.21 no.1
• /
• pp.27-39
• /
• 2005

We will define p-stack convergence spaces and show that each neighborhood structure is uniquely determined by p-stack convergence structure. Also, we will show that p-stack convergence spaces are a generalization of neighborhood spaces.

• International Journal of Fuzzy Logic and Intelligent Systems
• /
• v.7 no.4
• /
• pp.262-266
• /
• 2007

We characterize a fuzzy pairwise $\gamma$-irresolute continuous mapping on a fuzzy bitopological space.

• International Journal of Fuzzy Logic and Intelligent Systems
• /
• v.7 no.3
• /
• pp.188-192
• /
• 2007

We characterize a fuzzy pairwise ${\gamma}-irresolute$ continuous mapping on a fuzzy bitopological space.

• Journal of the Korean Institute of Intelligent Systems
• /
• v.20 no.6
• /
• pp.864-874
• /
• 2010

We introduce the notion of intuitionistic interval-valued fuzzy sets as the another generalization of interval-valued fuzzy sets and intuitionistic fuzzy sets and hence fuzzy sets. Also we introduce some operations over intuitionistic interval-valued fuzzy sets. And we study some fundamental properties of intuitionistic interval-valued fuzzy sets and operations.

• Korean Institute of Interior Design Journal
• /
• no.33
• /
• pp.11-18
• /
• 2002

There is an agreement that sociocultural forces affect on the types of arts. There have been a little attempts to draw analogy between architecture and music. There are many objective and subjective factors for this to be true. If, however, the two arts are out of much the same social conditions, they show a degree of conformity in design and general organization. Our study shows the interrelationship between the Residential Space and structure of music. In order to clarify the interrelationship between architecture and music, the study examines ten Residential Spaces suggested by Yi-Jinkyung. The Residential Spaces are analyzed by using theory of Space Syntax. The structure of music is analyzed by tonality, counterpoint and harmony. The comparison between the Residential Spaces and music follows : From Renaissance to the 19th century, they have the same tendency to 1) openness & closure to the outer space and 2) the netting diagram in the inner space & Counterpoint 3) the tree diagram in the space & Harmony

• 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.

• Proceedings of the Korean Institute of Intelligent Systems Conference
• /
• 1995.10b
• /
• pp.369-373
• /
• 1995

We introduce the concepts of generalized closed fuzzy set(breifly g-closed fuzzy set) and generalized fuzzy continuity (briefly g-fuzzy continuity), and investigate their some properties. When A is a fuzzy set in a fuzzy topological space, we denote the closure of A, the interior of A and the complement of A as CA(a) and CA, respectively

• Communications of the Korean Mathematical Society
• /
• v.29 no.4
• /
• pp.555-568
• /
• 2014

A set with an operation defined on a family of subsets is studied. The operation is used to generalize the topological space itself. The operation defines the operation-open subsets in the set. Relations are studied among two types of the interiors and the closures of subsets. Some properties of maximal operation-open sets are obtained. Semi-open sets and pre-open sets are defined in the sets with operations and some relations among them are proved.

• The Pure and Applied Mathematics
• /
• v.14 no.1 s.35
• /
• pp.15-21
• /
• 2007

We introduce the notion of pre-convergence of p-stacks and characterize the pre-interior, pre-closure, separation axioms and pre-continuity on a topological space by using pre-convergence of p-stacks. We also introduce the notion of p-precompactness and investigate its properties in terms of pre-convergence of p-stacks.