• Journal of applied mathematics & informatics
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• v.39 no.5_6
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• pp.743-749
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• 2021

The purpose of this article is to study few properties of fuzzy mean open and fuzzy mean closed sets in fuzzy topological spaces. Further, the idea of fuzzy mean clopen set is introduced. It is observed that a fuzzy mean clopen set is both fuzzy mean open and fuzzy mean closed but the converse is not true.

• Journal of Applied and Pure Mathematics
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• v.4 no.1_2
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• pp.79-84
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• 2022

We have observed that there exist certain fuzzy topological spaces with no fuzzy minimal open sets. This observation motivates us to investigate fuzzy topological spaces with neither fuzzy minimal open sets nor fuzzy maximal open sets. We have observed if such fuzzy topological spaces exist and if it is connected are not fuzzy cut-point spaces. We also study and characterize certain properties of fuzzy mean open sets in fuzzy T₁-connected fuzzy topological spaces.

• 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.

• Communications of the Korean Mathematical Society
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• v.20 no.4
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• pp.781-789
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• 2005

In 1998, Thakur and Singh introduce the concept of fuzzy $\beta$-continuity (Fuzzy Sets and Systems, 98(1998), 383-391). In this paper we introduce and study the notion of fuzzy slightly $\beta$-continuity. Fuzzy slightly $\beta$-continuity generalize fuzzy $\beta$-continuity. Moreover, basic properties and preservation therems of fuzzy slightly $\beta$-continuous functions are obtained.

• Journal of the Korean Institute of Intelligent Systems
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• v.11 no.9
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• pp.855-858
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• 2001

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

• 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.

• Journal of applied mathematics & informatics
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• v.41 no.3
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• pp.525-540
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• 2023

In this paper, we introduce the concept of fuzzy nano M open and fuzzy nano M closed mappings in fuzzy nano topological spaces. Also, we study about fuzzy nano M Homeomorphism, almost fuzzy nano M totally mappings, almost fuzzy nano M totally continuous mappings and super fuzzy nano M clopen continuous functions and their properties in fuzzy nano topological spaces. By using these mappings, we can able to extended the relation between normal spaces and regular spaces in fuzzy nano topological spaces.