• Korean Journal of Mathematics
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• 제25권2호
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• pp.261-278
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• 2017

In this paper, we introduce the concepts of ([r, s], [t, u])-interval-valued intuitionistic fuzzy alpha generalized closed and open sets in the interval-valued intuitionistic smooth topological space and ([r, s], [t, u])-interval-valued intuitionistic fuzzy alpha generalized continuous mappings and then investigate some of their properties.

• Korean Journal of Mathematics
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• 제24권4호
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• pp.663-679
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• 2016

In this paper, we introduce the concepts of several types of interval-valued intuitionistic fuzzy mappings and several types of interval-valued intuitionistic fuzzy compactness in interval-valued intuitionistic smooth topological spaces and then investigate their properties.

• 한국지능시스템학회논문지
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• 제8권5호
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• pp.1-4
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• 1998

The main goal of this paper is to investigate some properties of the locally convex fuzzy topological vector space.

• International Journal of Fuzzy Logic and Intelligent Systems
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• 제8권4호
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• pp.312-315
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• 2008

In this paper, we investigate some characterizations for fuzzy weakly (r, s)-continuous mapping on an intuitionistic fuzzy topological space in ${\check{S}}ostak's$ sense.

• 한국지능시스템학회논문지
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• 제8권3호
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• pp.67-70
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• 1998

If there exists a fuzzy continuous function from a fuzzy topological space (X, T) onto the discrete fuzzy toplogical space with two elements, then the space (X, T) is fuzzy disconnected. However, the converse is not true at all. We introduce an example for this and suggest a sufficient condition for which the converse holds.

• International Journal of Fuzzy Logic and Intelligent Systems
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• 제10권1호
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• pp.1-6
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• 2010

The notion of $\star$-Externally disconnected fuzzy ideal topological spaces is introduced and studied. Many characterizations of the space are obtained.

• Journal of applied mathematics & informatics
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• 제39권5_6호
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• pp.825-838
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• 2021

In this paper the concept of ordered fuzzy filters is introduced in Heyting almost distributive lattices and the properties of these ordered fuzzy filters are studied. We characterized and proved a set of theorems of ordered fuzzy filters. Some topological properties of prime ordered fuzzy filters are also studied.

• 한국지능시스템학회:학술대회논문집
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• 한국퍼지및지능시스템학회 2000년도 추계학술대회 학술발표 논문집
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• pp.59-62
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• 2000

In this paper we introduce the notion of fuzzy ${\gamma}$-open sets by using an operation ${\gamma}$ on fuzzy topological space (X, $\tau$) and investigate the related fuzzy topological properties of the associated fuzzy topology $\tau$$\_$${\gamma}$/ and $\tau$. And ${\gamma}$-T$\_$i/(i=0,1,2) separation axioms are defined in fuzzy topological spaces and the validity of some results analogous to those in fuzzy T$\_$i/ spaces due to Ganguly and Saha [2] are examined.

• 한국지능시스템학회논문지
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• 제12권1호
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• pp.85-89
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• 2002

In this paper, we introduce the notion of fuzzy regular spaces over a base space and investigate some properties of these spaces.

• 한국지능시스템학회논문지
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• 제16권1호
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• pp.108-112
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• 2006

In this paper, we investigate some characterizing theorems for fuzzy (r,s)-semicontinuous, (r,s)-semiopen and (r,s)-semiclosed mappings on the intuitionistic fuzzy topological space in $\eseck{S}ostak's$ sense.