• Journal of the Korean Institute of Intelligent Systems
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• v.2 no.1
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• pp.3-16
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• 1992

In this paper, we establish the conceptes of compactifications of a L-fuzzy topological space and a order relation in these compactifications. This order is a preorder. The existemce problem and the uniqueness problem of the largest compactifications are closely related to the mapping extension problem. We give out the largest compactifications and show the non-uniqueness of the largest compactifications in the preorder for a kind of spaces. Moreover, under some natural assumptions of separation axioms, we prove that the preorder is just a partial order, thus it ensures the uniqueness of the largest compactification. In addition. the related discussion involves the special properties of fuzzy product space, the latter seems to be independent interesting.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.7 no.2
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• pp.120-126
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• 2007

In this paper, we investigate some of characteristic properties of fuzzy strongly (r, s)-semicontinuous, fuzzy strongly (r, s )-semiopen and fuzzy strongly (r, s )-semiclosed mappings on the intuitionistic fuzzy topological space in \check{S}ostak's$ sense.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 1996.10a
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• pp.95-100
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• 1996

In this paper, we first introduce fuzzy less strongly irresolute, fuzzy preless strongly semiopen and fuzzy pre-less strongly semiclosed mappings on fuzzy topological space, and establish their various characteristic properties. Finally, we introduce and study fuzzy less strongly semi-connectedness with the help of fuzzy less strongly semiopen sets and fuzzy less strongly semi-q-neighborhoods.

• Journal of the Chungcheong Mathematical Society
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• v.36 no.2
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• pp.135-148
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• 2023

We prove that for any preordered intuitionistic fuzzy approximation space, an intuitionistic fuzzy topology can be created, and conversely, for any intuitionistic fuzzy topology, a reflexive intuitionistic fuzzy relation can be constructed. We also show that there is a relationship, called Galois correspondence, between the functors of these categories. Additionally, by applying certain limitations on the category of intuitionistic fuzzy topological spaces, we obtain an isomorphism between these categories.

• Korean Journal of Mathematics
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• v.13 no.2
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• pp.249-254
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• 2005

In this paper, we introduce the concepts of intuitionistic fuzzy half-compactness, nearly intuitionistic fuzzy half-compactness and almost intuitionistic fuzzy half-compactness defined by intuitionistic gradations of openness, and obtain some characterizations.

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

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.12 no.4
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• pp.319-323
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• 2012

We define and characterize a somewhat fuzzy irresolute continuous mapping and a somewhat fuzzy irresolute semiopen mapping on a fuzzy topological space. Besides, some interesting properties of those mappings are given.

• Honam Mathematical Journal
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• v.31 no.1
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• pp.97-107
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• 2009

In this paper, we introduce the concept of fuzzy ${\alpha}$-weakly (r, s)-continuous mappings on an fuzzy topological space and investigate some properties of such mappings.

• The Pure and Applied Mathematics
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• v.14 no.2 s.36
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• pp.63-70
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• 2007

In this paper, we introduce the concepts of r-gp-open map, weakly r-gp-open map, intuitionistic fuzzy r-compactness, nearly intuitionistic fuzzy r-compactness and almost intuitionistic fuzzy r-compactness defined by intuitionixtic gradations of openness, and obtain some characterizations.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.6 no.4
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• pp.299-303
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• 2006

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