• 한국지능시스템학회:학술대회논문집
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• 한국퍼지및지능시스템학회 1998년도 The Third Asian Fuzzy Systems Symposium
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• pp.225-230
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• 1998

In this paper, we introduce the concepts of intuitionistic fuzzy points and intuitionistic fuzzy neighborhoods. We investigate properties of continuous, open and closed maps in the intuitionistic fuzzy topological spaces, and show that the category of Chang's fuzzy topological spaces is a bireflective full subcategory of that of intuitionistic fuzzy topogical spaces.

• 한국지능시스템학회논문지
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• 제12권2호
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• pp.187-191
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• 2002

In this paper, we introduce the notion of smooth neighborhoods in smooth topological spaces and investigate some of their properties. In particular, we can obtain some smooth topologies from a smooth neighborhood system.

• 대한수학회논문집
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• 제35권1호
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• pp.287-300
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• 2020

We introduce and study notions of expansivity, topological stability and persistence for Borel measures with respect to time varying bi-measurable maps on metric spaces. We prove that on Mandelkern locally compact metric spaces expansive persistent measures are topologically stable in the class of all time varying homeomorphisms.

• 대한수학회지
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• 제51권4호
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• pp.837-851
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• 2014

We consider ${\omega}$-chaos as defined by S. H. Li in 1993. We show that c-dense ${\omega}$-scrambled sets are present in every transitive system with two-sided limit shadowing property (TSLmSP) and that every transitive map on topological graph has a dense Mycielski ${\omega}$-scrambled set. As a preliminary step, we provide a characterization of dynamical properties of maps with TSLmSP.

• Kyungpook Mathematical Journal
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• 제53권3호
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• pp.341-348
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• 2013

In this paper, the concept of supra $b$-irresolute maps is introduced and several properties of it is investigated. Furthermore, the notion of supra $b$-connectedness is defined and researched by means of supra $b$-separated sets.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제3권1호
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• pp.33-40
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• 1996

A convergence structure defined by Kent [4] is a correspondence between the filters on a given set X and the subsets of X which specifies which filters converge to points of X. This concept is defined to include types of convergence which are more general than that defined by specifying a topology on X. Thus, a convergence structure may be regarded as a generalization of a topology. With a given convergence structure q on a set X, Kent [4] introduced associated convergence structures which are called a topological modification and a pretopological modification. (omitted)

• 대한수학회논문집
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• 제26권2호
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• pp.305-320
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• 2011

The relations among various types of continuity of fuzzy proper function on a fuzzy set and at fuzzy point belonging to the fuzzy set in the context of $\v{S}$ostak's I-fuzzy topological spaces are discussed. The projection maps are defined as fuzzy proper functions and their properties are proved.

• 대한수학회지
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• 제58권2호
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• pp.265-281
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• 2021

In the kneading theory developed by Milnor and Thurston, it is proved that the kneading matrix and the kneading determinant associated with a continuous piecewise monotone map are invariant under orientation-preserving conjugacy. This paper considers the problem for orientation-reversing conjugacy and proves that the former is not an invariant while the latter is. It also presents applications of the result towards the computational complexity of kneading matrices and the classification of maps up to topological conjugacy.

• 정보처리학회논문지B
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• 제8B권5호
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• pp.515-522
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• 2001

특징정보를 기반으로 한 유사화상 검색은 화상 데이터베이스에 있어서 중요한 과제의 하나이다. 화상 데이터의 특징정보를 각 화상을 식별하는데 유용한 정보이다. 본 논문에서는 자기조직화 맵기반의 고속 k-NN 탐색 알고리즘을 제안한다. 자기조직화 맵은 학습을 통하여 고차원 특징벡터를 2차원 공간에 맵핑함으로서 위상 특징맵을 생성한다. 위상 특징맵은 입력 데이터의 특징공간의 상호간의 유사성을 가지고 있으며, 각 노드는 노드벡터와 각 노드벡터에 가장 가까운 유사화상이 분류된다. 이러한 자기조직화 맴에 의한 유사화상 분류결과에 대한 k-NN 탐색을 구현하기 위한여, (1) 위상특징 맵에 대한 접근방법, (2) 고속탐색을 위한 pruning strategy의 적용을 실현하였다. 본 연구에서는 실험을 통하여 실제화상으로부터 추출한 색상 특징을 사용하여 제안한 알고리즘의 성능을 평가함으로써 유사화상 검색에 유효한 결과를 얻을 수 있었다.

• Nonlinear Functional Analysis and Applications
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• 제27권3호
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• pp.569-585
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• 2022

A brief comparative survey of some generalizations of a metric space with three dimensional metric structures and different forms of the triangle inequality is done along with their topological properties. Then a common fixed point is obtained for reciprocally continuous and compatible self-maps in a G-metric space. Further, a common fixed point theorem is proved for a pair of weakly compatible self-maps on a G-metric space with the common limit range property.