• Journal of the Chungcheong Mathematical Society
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• v.26 no.4
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• pp.691-702
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• 2013

We introduce the concepts of double bitopological spaces as a generalization of intuitionistic fuzzy topological spaces in $\check{S}$ostak's sense and Kandil's fuzzy bitopological spaces. Also we introduce the concept of (${\tau}^{{\mu}{\gamma}}$, $U^{{\mu}{\gamma}}$)-double (r, s)(u, v)-semiopen sets and double pairwise (r, s)(u, v)-semicontinuous mappings in double bitopological spaces and investigate some of their characteristic properties.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.9 no.3
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• pp.228-231
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• 2009

In this paper, we introduce the concept of fuzzy $\alpha$-weakly r-continuous mapping on a fuzzy topological space and investigate some properties of such a mapping and the relationships among fuzzy $\alpha$-weakly r-continuity, fuzzy r-continuity and fuzzy weakly r-continuity.

• Bulletin of the Korean Mathematical Society
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• v.51 no.3
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• pp.667-680
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• 2014

In this paper, $\mathcal{I}$-scattered spaces are introduced, and their characterizations and properties are given. We prove that (X, ${\tau}$) is scattered if and only if (X, ${\tau}$, $\mathcal{I}$) is $\mathcal{I}$-scattered for any ideal $\mathcal{I}$ on X.