• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 2000.05a
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• pp.98-101
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• 2000

The aim of this paper is to study and find characterizations of fuzzy quasi-semicontinuous and fuzzy quasi-semiopen mappings between fuzzy bitopological spaces. The notion of fuzzy quasi-semiopen sets is used to define fuzzy quasi-semicontinuous and fuzzy quasi-semiopen mappings. Finally, fuzzy quasi-semiconnectedness is introduced and studied to some extent.

• Korean Journal of Mathematics
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• v.10 no.2
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• pp.149-155
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• 2002

We develop some basic properties of $t$-fuzzy ideals in a monoid or a group and find the sufficient conditions for a fuzzy set in a division ring to be a $t$-fuzzy subring and the necessary and sufficient conditions for a fuzzy set in a division ring to be a $t$-fuzzy ideal.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.11 no.3
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• pp.153-164
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• 2011

Equivalence relations and mappings for crisp sets are very well known. This paper attempts an investigation of equivalence relations and mappings for fuzzy sets. We list some concepts and results related to fuzzy relations. We give some examples corresponding to the concept of fuzzy equality and fuzzy mapping introduced by Demirci [1]. In addition, we introduce the notion of preimage and quotient of fuzzy equivalence relations. Finally, we investigate relations between a fuzzy equivalence relation and a fuzzy mapping.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 2001.12a
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• pp.345-348
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• 2001

In this paper the concept of fuzzy connectednees between fuzzy sets [8] is generalized to fussy bitopological spaces and some of its properties are studied.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.10 no.2
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• pp.157-164
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• 2010

Up to now, in the area of fuzzy topology, almost all the researchers have investigated fuzzy continuities by using ordinary mappings. However, in this paper, we study continuities by using fuzzy mappings introduced by Demirci [2].

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.9 no.2
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• pp.110-114
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• 2009

We introduce the concepts of intuitionistic fuzzy k-ideals and intuitionistic fuzzy prime k-ideals of a semiring. And we investigate some properties of them.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 2002.12a
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• pp.67-70
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• 2002

We study some relations between separability in fuzzy topological spaces and one in fuzzy hyperspaces. And we investigate some properties of axiom of countability in fuzzy hyperspaces.

• Honam Mathematical Journal
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• v.25 no.1
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• pp.19-41
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• 2003

In this paper, we introduce the concepts of intuitionistic fuzzy subgroups and intuitionistic fuzzy subrings and investigated some of their properties.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 2002.12a
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• pp.59-62
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• 2002

We investigate some relations between the separation axioms in fuzzy topological spaces and one in fuzzy hyperspaces.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.6 no.4
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• pp.321-330
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• 2006

We introduce the concept of intuitionistic fuzzy weak congruence on a semiring and obtain the relation between intuitionistic fuzzy weak congruence and intuitionistic fuzzy ideal of a semiring. Also we define and investigate intuitionistic fuzzy quotient semiring of a semiring over an intuitionistic fuzzy ideal or over an intuitionistic fuzzy weak congruence.