• Journal of the Korean Institute of Intelligent Systems
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• v.19 no.2
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• pp.254-258
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• 2009

In this paper, we introduce the concepts of fuzzy strongly (r,s)-irresolute mappings and fuzzy strongly (r,s)-irresolute semiopen mappings and investigate some properties of such mappings.

• Journal of applied mathematics & informatics
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• v.41 no.4
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• pp.697-705
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• 2023

We studied new notions of analogues of topological rings. Salih [10] acquaints us with the notion of irresolute topological ring in 2018. In this paper, we further studied the space closely and characterized indispensable properties of the space. We prove that every open subset of an irresolute topological ring is irresolute topological ring. We also obtained the equivalent condition of neighborhood of an element in an irresolute topological ring. It is proved that ring homeomorphism of an irresolute topological ring is irresolute if it is irresolute at identity element e in the irresolute topological ring 𝓡.

• Kyungpook Mathematical Journal
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• v.54 no.4
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• pp.577-586
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• 2014

In this paper, we introduce two new types of irresolute functions namely completely D-irresolute functions and weakly D-irresolute functions. We obtain their characterizations and their basic properties.

• Kyungpook Mathematical Journal
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• v.52 no.1
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• pp.99-107
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• 2012

The purpose of this paper is to introduce two new types of irresolute functions called, completely ${\rho}$-irresolute functions and weakly ${\rho}$-irresolute functions. We obtain their characterizations and their basic properties.

• Honam Mathematical Journal
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• v.32 no.4
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• pp.701-709
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• 2010

We introduce the concepts of IVF irresolute mappings and IVF irresolute open mappings, and investigate characterizations for such mappings on the interval-valued fuzzy topological spaces.

• Journal of applied mathematics & informatics
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• v.34 no.5_6
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• pp.519-526
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• 2016

The concept of somewhat pairwise fuzzy pre-irresolute continuous mapping and somewhat pairwise fuzzy irresolute preopen mappings have been introduced and studied. Besides, some interesting properties of those mappings are given.

• Journal of applied mathematics & informatics
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• v.26 no.3_4
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• pp.757-766
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• 2008

We define and characterize a fuzzy pairwise $\gamma$-irresolute open mapping (fuzzy pairwise $\gamma$-irresolute closed mapping) on a fuzzy bitopological space. We also characterize a fuzzy pairwise $\gamma$-irresolute homeomorphism on a fuzzy bitopological space.

• 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 applied mathematics & informatics
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• v.32 no.1_2
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• pp.203-209
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• 2014

We define and characterize a somewhat fuzzy ${\gamma}$-irresolute continuous mapping and a somewhat fuzzy irresolute ${\gamma}$-open mapping on a fuzzy topological space.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.11 no.3
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• pp.190-196
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• 2011

In this paper, we introduce the concept of fuzzy (r, s)-semi-irresolute mappings on intuitionistic fuzzy topological spaces in Sostak's sense, which is a generalization of the concept of fuzzy semi-irresolute mappings introduced by S. Malakar. The characterizations for the fuzzy (r, s)-semi-irresolute mappings are obtained by terms of semi-interior, semi-${\theta}$-interior, semi-clopen, and regular semi-open.