Sums of L-fuzzy topological spaces

Fuzzy Sets and Systems

Volumn 157, Issue 6, 2006, Pages 739-754

  Fang, Jinming ^a  

^a OCEAN UNIVERSITY OF CHINA   (China)

Author keywords

Additivity; Induced L fuzzy topological space; L fuzzy topology; Sum of L fuzzy topology

Indexed keywords

ELECTRIC NETWORK TOPOLOGY; MATHEMATICAL PROGRAMMING; PROBLEM SOLVING; THEOREM PROVING; TOPOLOGY;

ADDITIVITY; INDUCED L-FUZZY TOPOLOGICAL SPACE; L-FUZZY TOPOLOGY; SUM OF L-FUZZY TOPOLOGY;

FUZZY SETS;

EID: 32144439201     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2005.10.013     Document Type: Article

References (27)

1. J. Adamek, H. Herrlich, and G.E. Strecker Abstract and Concrete Categories 1990 John Wiley and Sons, Inc.
2. C.L. Chang Fuzzy topological spaces J. Math. Anal. Appl. 24 1968 182 190
3. J.M. Fang I-FTOP is isomorphic to I-FQN and I-AITOP Fuzzy Sets and Systems 147 2004 317 325
4. M.H. Ghanim, E.E. Kerre, and A.S. Mashhour Separation axioms, subspaces and sums in fuzzy topology J. Math. Anal. Appl. 102 1984 189 202
5. Gierz A Compendium of Continuous Lattices 1980 Springer Berlin
6. U. Höhle Upper semicontinuous fuzzy sets and applications J. Math. Anal. Appl. 78 1980 659 673
7. U. Höhle, S.E. Rodabaugh (Eds.), Mathematics of Fuzzy Sets: Logic, Topology, and Measure Theory, the Handbooks of Fuzzy Sets Series, vol. 3, Kluwer Academic Publishers, Boston/Dordrecht/London, 1999.
8. U. Höhle, A. Šostak, Axiomatic foundations of variable-basis fuzzy topology, in: U. Höhle, S.E. Rodabaugh (Eds.), Mathematics of Fuzzy Sets: Logic, Topology, and Measure Theory, the Handbooks of Fuzzy Sets Series, vol. 3, Kluwer Academic Publishers, Boston/Dordrecht/London, 1999, pp.123-272.
9. T. Kubiak, On fuzzy topologies, Ph.D. Thesis, Adam Mickiewicz, Poznan, Poland, 1985.
10. Y.M. Liu, and M.K. Luo Fuzzy Topology 1998 World Scientific Publication Singapore
11. R. Lowen Initial and final fuzzy topologies and the fuzzy Tychonoff theorem J. Math. Anal. Appl. 58 1977 11 21
12. G.W. Meng On the sum of L-fuzzy topological spaces Fuzzy Sets and Systems 59 1993 65 77
13. S.E. Rodabaugh, Powerset operator foundations for poslat fuzzy set theories and topologies, in: U. Höhle, S.E. Rodabaugh (Eds.), Mathematics of Fuzzy Sets: Logic, Topology, and Measure Theory, the Handbooks of Fuzzy Sets Series, vol. 3, Kluwer Academic Publishers, Boston/Dordrecht/London, 1999, pp. 91-116.
14. S.E. Rodabaugh, Categorical foundations of variable-basis fuzzy topology, in: U. Höhle, S.E. Rodabaugh (Eds.), Mathematics of Fuzzy Sets: Logic, Topology, and Measure Theory, the Handbooks of Fuzzy Sets Series, vol. 3, Kluwer Academic Publishers, Boston/Dordrecht/London, 1999, pp. 273-388.
15. A. Šostak On a fuzzy topological structure Rendiconti Ciecolo Matematico Palermo (Suppl. Ser. II) 11 1985 89 103
16. A. Šostak, Separation axioms in fuzzy topological space, in: Topological spaces and mappings (N8), Latvian Univ. Publ., Riga, Latvia 1987, pp. 165-187 (in Russian).
17. A. Šostak Two decades of fuzzy topology: Basic ideas notions and results Russian Math. Surveys 44 1989 125 186
18. A. Šostak On the neighborhood structure of a fuzzy topological space Zb. Radova Uni. Nis, Ser Math. 4 1990 7 14
19. A. Šostak Basic structures of fuzzy topology J. Math. Sci. 78 1996 662 701
20. G.J. Wang A new fuzzy compactness defined by fuzzy nets J. Math. Anal. Appl. 94 1983 1 13
21. R.H. Warren Neighborhoods, bases, and continuity in fuzzy topological spaces Rocky Mountain J. Math. 8 1978 459 470
22. M.S. Ying A new approach to fuzzy topology (I) Fuzzy Sets and Systems 39 3 1991 303 321
23. Y.Y. Yue, J.M. Fang, Separation axioms in I-fuzzy topological spaces, Fuzzy Sets and System, 2005, accepted.
24. Y.Y. Yue, and J.M. Fang Generated I-fuzzy topological spaces Fuzzy Sets and Systems 154 2005 103 117
25. W.N. Zhou L-smooth topological space and smooth N-compactness Journal of Jiang-han Petroleum College 19 1997 123 126 (in Chinese)
26. D.S. Zhao The N-compactness in L-fuzzy topological spaces J. Math. Anal. Appl. 128 1987 64 79
27. D.X. Zhang L-Fuzzifying topologies as L-topologies Fuzzy Sets and Systems 125 2002 135 144