• The Pure and Applied Mathematics
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• v.16 no.4
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• pp.383-404
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• 2009

The notions of P-I-open (closed) mappings, P-I-continuous mappings, P-I-neighborhoods, P-I-irresolute mappings and I-irresolute mappings are introduced. Relations between P-I-open (closed) mappings and I-open (closed) mappings are given. Characterizations of P-I-open (closed) mappings are provided. Relations between a P-I-continuous mapping and an I-continuous mapping are discussed, and characterizations of a P-I-continuous mapping are considered. Conditions for a mapping to be an I-irresolute mapping (resp. P-I-irresolute mapping) are provided.

• Journal of the Korean Institute of Intelligent Systems
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• v.8 no.6
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• pp.48-52
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• 1998

We introduce the concepts of fuzzy s-continuous mappings, s-open mappings, and s-closed mappings. We investigate several properties of such mappings. In particular, we study the relation between fuzzy s-continuous mappings and fuzzy s-open mappings(s-closed mappings).

• Korean Journal of Mathematics
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• v.7 no.1
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• pp.117-121
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• 1999

In this paper, we introduce $m$-open(closed) mappings by $m$-sets, and obtain a number of their properties. In particular, $m$-open(closed) mappings are used to extend known results for ${\alpha}$-open mapping, semi-open mappings and preopen mappings.

• East Asian mathematical journal
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• v.33 no.5
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• pp.483-494
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• 2017

In this paper we define new types of mappings known as $gpr^{\mu}$-closed mappings, $gpr^{\mu}$-open mappings and discuss its properties. Furthermore we introduce the concepts of supra $pre^*$-normal spaces and also investigate its properties.

• Communications of the Korean Mathematical Society
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• v.22 no.4
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• pp.535-545
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• 2007

In this paper, we introduce the Pettis integral of fuzzy mappings in Banach spaces using the Pettis integral of closed set-valued mappings. We investigate the relations between the Pettis integral, weak integral and integral of fuzzy mappings in Banach spaces and obtain some properties of the Pettis integral of fuzzy mappings in Banach spaces.

• Honam Mathematical Journal
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• v.28 no.2
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• pp.241-259
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• 2006

Using the concept of interval-valued fuzzy (IVF) sets, the notions of IVF semiopen (semiclosed) sets, IVF preopen (preclosed) sets and IVF $\alpha$-open ($\alpha$-closed) sets are introduced, and interrelations are investigated. Also, the concepts of IVF open mappings, IVF preopen mappings, IVF semiopen mappings and IVF $\alpha$-open mappings are introduced, and interrelations are discussed.

• Communications of the Korean Mathematical Society
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• v.27 no.2
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• pp.377-384
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• 2012

In this paper some properties of sequentially closed sets and $k$-closed sets in a topological space are discussed, it is shown that a space is a $k$-quotient image of a metric space if and only if its each sequentially closed set is $k$-closed, and some related examples about connectedness are obtained.

• Honam Mathematical Journal
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• v.30 no.2
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• pp.283-297
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• 2008

The notion of IVF contra (${\alpha}$-)open ((${\alpha}$-)closed) mappings is introduced, and their characterizations are given. The relationship between IVF contra open (closed) mappings and IVF contra ${\alpha}$-open (${\alpha}$-closed) mappings are discussed.

• Journal of the Korean Institute of Intelligent Systems
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• v.11 no.3
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• pp.280-285
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• 2001

We introduce the new concepts of some fuzzy continuous and closed mappings and study their properties. Also we investigate the properties of fuzzy mildly normal spaces.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 1995.10b
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• pp.374-377
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• 1995

We introduce new weak forms of fuzzy continuity and fuzzy closed mapping(which we call a-fuzzy continuity and a-fuzzy closed mapping). And we investigate some of the basic properties of a-fuzzy continuous mapping and a-fuzzy closed mappings.