In the present paper we introduce and study pre-T0-,pre-R0-,pre-R1-,pre-T2(pre-Hausdorff)-,pre-T3(pre-regularity)-,pre-T4(pre-normality)-,pre-strong T3- and pre-strong T4-separation axioms in fuzzifying topology and g...In the present paper we introduce and study pre-T0-,pre-R0-,pre-R1-,pre-T2(pre-Hausdorff)-,pre-T3(pre-regularity)-,pre-T4(pre-normality)-,pre-strong T3- and pre-strong T4-separation axioms in fuzzifying topology and give some of their characterisations as well as the relations of these axioms and other separation axioms in fuzzifying topology introduced by Shen[7].展开更多
This paper considers fuzzifying topologies, a special case of I-fuzzy topologies (bifuzzy topologies), introduced by Ying. It investigates topological notions defined by means of -open sets when these are planted into...This paper considers fuzzifying topologies, a special case of I-fuzzy topologies (bifuzzy topologies), introduced by Ying. It investigates topological notions defined by means of -open sets when these are planted into the frame-work of Ying’s fuzzifying topological spaces (by Lukasiewicz logic in [0, 1]). In this paper we introduce some sorts of operations, called general fuzzifying operations from P(X) to , where (X, τ) is a fuzzifying topological space. By making use of them we contract neighborhood structures, derived sets, closure operations and interior operations.展开更多
文摘In the present paper we introduce and study pre-T0-,pre-R0-,pre-R1-,pre-T2(pre-Hausdorff)-,pre-T3(pre-regularity)-,pre-T4(pre-normality)-,pre-strong T3- and pre-strong T4-separation axioms in fuzzifying topology and give some of their characterisations as well as the relations of these axioms and other separation axioms in fuzzifying topology introduced by Shen[7].
文摘This paper considers fuzzifying topologies, a special case of I-fuzzy topologies (bifuzzy topologies), introduced by Ying. It investigates topological notions defined by means of -open sets when these are planted into the frame-work of Ying’s fuzzifying topological spaces (by Lukasiewicz logic in [0, 1]). In this paper we introduce some sorts of operations, called general fuzzifying operations from P(X) to , where (X, τ) is a fuzzifying topological space. By making use of them we contract neighborhood structures, derived sets, closure operations and interior operations.
