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- W2105751431 abstract "In this paper, we introduce topological notions defined by means of $beta$-open sets when these are planted into the framework of Ying's fuzzifying topological spaces (by {L }ukasiewicz logic in [0, 1]). We introduce $% T_{0}^{beta }-,;T_{1}^{beta }-,;T_{2}^{beta }-$ ($beta $- Hausdorff)-, $T_{3}^{beta }$ ($beta $-regular)- and $T_{4}^{beta }$ ($% beta $-normal)-separation axioms. Furthermore, the $R_{0}^{beta }-$ and $% R_{1}^{beta }-$ separation axioms are studied and their relations with the $T_{1}^{beta }-$ and $T_{2}^{beta }-$ separation axioms are introduced. Moreover, we clarify the relations of these axioms with each other as well as the relations with other fuzzifying separation axioms." @default.
- W2105751431 created "2016-06-24" @default.
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- W2105751431 date "2012-12-28" @default.
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- W2105751431 title "separation axioms based on Lukasiewicz logic" @default.
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