Shi-Zhong Bai

Department of Mathematics, Wuyi University, Guangdong 529020, P.R.China

[ 1 ] - A NEW NOTION OF FUZZY PS-COMPACTNESS

In this paper, using pre-semi-open L-sets and their inequality, a new notion of PS-compactness is introduced in L-topological spaces, where L is a complete De Morgan algebra. This notion does not depend on the structure of the basis lattice L and L does not need any distributivity.

[ 2 ] - SOME PROPERTIES OF NEAR SR-COMPACTNESS

In this paper, we study some properties of the near SR-compactnessin L-topological spaces, where L is a fuzzy lattice. The near SR-compactness isa kind of compactness between Lowen’s fuzzy compactness and SR-compactness,and it preserves desirable properties of compactness in general topologicalspaces.

[ 3 ] - COUNTABLY NEAR PS-COMPACTNESS IN L-TOPOLOGICAL SPACES

In this paper, the concept of countably near PS-compactness inL-topological spaces is introduced, where L is a completely distributive latticewith an order-reversing involution. Countably near PS-compactness is definedfor arbitrary L-subsets and some of its fundamental properties are studied.

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