✦ LIBER ✦

On the order conditions of fuzzy convergence classes

✍ Scribed by Yong-Ming Li

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 244 KB
Volume: 140
Category: Article
ISSN: 0165-0114
DOI: 10.1016/s0165-0114(03)00052-6

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✦ Synopsis

By means of the order structure of the related lattice, the LIMINF condition of fuzzy convergence classes is proposed in this paper, which re ects the essential di erence between fuzzy convergence classes and ordinary convergence classes. The relationship between the LIMINF condition and two related conditions proposed by Liu and Wang respectively are discussed. The theory of fuzzy convergence classes based on LIMINF condition is established for topological molecular lattices, L-topological spaces (in the sense of Chang or Lowen), weakly induced spaces, and induced spaces.

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