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225657

The y-compactness in l-fuzzy topological spaces

Yin-hang WangShi-zhong Bai

pp. 331-338

Abstract

In this paper, we introduce the Y-compactness in L-fuzzy topological spaces. It possesses the following properties: (1) Y-compactness is hereditary for Y-closed subsets, (2) Y-compactness is preserved under Y-irresolute mapping. (3) Every set with finite support is Y-compactness. The Y-compactness is defined for arbitrary L-fuzzy subsets. It is described with α-net, α-filter, r-Y-cover form and r  + -finite intersection property.

Publication details

Published in:

Cao Bing-yuan, Zhang Cheng-yi, Li Tai-fu (2009) Fuzzy information and Engineering I. Dordrecht, Springer.

Pages: 331-338

DOI: 10.1007/978-3-540-88914-4_41

Full citation:

Wang Yin-hang, Bai Shi-zhong (2009) „The y-compactness in l-fuzzy topological spaces“, In: B. Cao, C. Zhang & T.-f. Li (eds.), Fuzzy information and Engineering I, Dordrecht, Springer, 331–338.