• Honam Mathematical Journal
• /
• v.32 no.1
• /
• pp.77-84
• /
• 2010

In this paper, we introduce the notion of almost minimal precontinuous function and investigate characterizations for such a function.

• Journal of the Korean Institute of Intelligent Systems
• /
• v.20 no.4
• /
• pp.569-573
• /
• 2010

We introduce the concept of fuzzy r-minimal preopen set on a fuzzy minimal space. We also introduce the concept of fuzzy r-M precontinuous mapping which is a generalization of fuzzy r-M continuous mapping, and investigate characterization of fuzzy r-M precontinuity.

• Korean Journal of Mathematics
• /
• v.17 no.3
• /
• pp.249-255
• /
• 2009

In [5], we introduced the concepts of IVF m-preopen sets and IVF m-precontinuous mappings on interval-valued fuzzy minimal spaces. In this paper, we introduce the concept of IVF m-preopen mapping and investigate characterizations for IVF mprecontinuous mappings and IVF m-preopen mappings.

• Journal of the Chungcheong Mathematical Society
• /
• v.22 no.4
• /
• pp.667-673
• /
• 2009

In this paper, we introduce the notions of minimal precontinuity, m-preclosed graph, almost m-precompact and m-precompact and investigate some properties for such notions.

• Journal of the Chungcheong Mathematical Society
• /
• v.24 no.1
• /
• pp.11-17
• /
• 2011

We introduce the notion of weak M-precontinuity which is a generalization of M-precontinuity defined between spaces with minimal structures. We also investigate some properties and characterizations for the continuity.

• Honam Mathematical Journal
• /
• v.31 no.1
• /
• pp.31-43
• /
• 2009

We introduce the concepts of IVF m-semiopen sets, IVF m-preopen sets, IVF m-semicontinuous mappings and IVF m-precontinuous mappings on interval-valued fuzzy minimal spaces. We investigate characterizations of IVF m-semicontinuous mappings and IVF m-precontinuous mappings and study properties of IVF m-semiopen sets and IVF m-preopen sets.

• Honam Mathematical Journal
• /
• v.31 no.4
• /
• pp.497-504
• /
• 2009

We introduce the concepts of M-preclosed graph and M$^*$-preopen mapping on spaces with minimal structures and investigate some properties of M$^*$-preopen mapping. We also investigate the relationships between M-precontinuous mappings and several types of m-compactness.

• Journal of the Korean Institute of Intelligent Systems
• /
• v.21 no.1
• /
• pp.128-131
• /
• 2011

In this paper, we introduce and study the concept of fuzzy r-$M^*$ preopen mappings between fuzzy r-minimal spaces. We also investigate the relationships among fuzzy r-M precontinuous mappings, fuzzy r-$M^*$-preopen mappings and several types of fuzzy r-minimal compactness.

• Journal of the Chungcheong Mathematical Society
• /
• v.29 no.2
• /
• pp.229-253
• /
• 2016

As a generalization of (i, j)-weakly m-continuous functions [43], we introduce the notion of weakly M(i, j)-continuous functions and obtain many characterizations and some properties of the functions. We show that the function is a unified form of some functions between m-spaces and certain kinds of weakly continuous functions in bitopological spaces.