论文信息 - Generated I-fuzzy topological spaces

Generated I-fuzzy topological spaces

In this paper, we extend Lowen functors @w and @i to I-fuzzy topological spaces (or Kubiak-Sostak fuzzy topological spaces) and study their properties. Then we introduce generated I-fuzzy topological spaces and weakly generated I-fuzzy topological spaces. Finally, we study the connections on a kind of compactness and separation properties between fuzzifying topological space (X,@t) and its corresponding generated I-fuzzy topological space (X,@w(@t)).

Fang Jinming | Yue Yueli | Fang Jinming | Yue Yueli

[1] Alexander P. Sostak,et al. Axiomatic Foundations Of Fixed-Basis Fuzzy Topology , 1999 .

[2] U. Höhle. Upper semicontinuous fuzzy sets and applications , 1980 .

[3] Jizhong Shen,et al. Separation axiom in fuzzifying topology , 1993 .

[4] Stephen E. Rodabaugh,et al. Categorical Foundations of Variable-Basis Fuzzy Topology , 1999 .

[5] A. Sostak. On a fuzzy topological structure , 1985 .

[6] M. Ying. A new approach for fuzzy topology (II) , 1991 .

[7] C. L. Chang,et al. Fuzzy topological spaces , 1968 .

[8] Ulrich Höhle,et al. Mathematics of Fuzzy Sets: Logic, Topology, and Measure Theory , 1998 .

[9] Stephen E. Rodabaugh,et al. Powerset Operator Foundations For Poslat Fuzzy Set Theories And Topologies , 1999 .

[10] Fang Jinming,et al. Base and Subbase in I-Fuzzy Topological Spaces , 2006 .

[11] Dexue Zhang,et al. L-Fuzzifying topologies as L-topologies , 2002, Fuzzy Sets Syst..

[12] A. Sostak,et al. LOWER SET-VALUED FUZZY TOPOLOGIES , 1997 .

[13] Zhao Dongsheng,et al. The N-compactness in L-fuzzy topological spaces , 1987 .

[14] Stephen E. Rodabaugh,et al. A categorical accommodation of various notions of fuzzy topology , 1983 .

[15] Stephen E. Rodabaugh,et al. Point-set lattice-theoretic topology , 1991 .

[16] Dexue Zhang,et al. Categories isomorphic to FNS , 1999, Fuzzy Sets Syst..