有限生成的L-fuzzy拓扑空间
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摘要
本文引入了有限生成的L-fuzzy拓扑空间的概念,并在此基础上刻画了L-fuzzy拓扑空间范畴中有限空间的余反射包。
In this article, the concept of finitely generated L-fuzzy topological space is introducd in order to describe the coreflective hull of finite spaces in the category of L-fuzzy topological spaces.
In this article, the concept of finitely generated L-fuzzy topological space is introducd in order to describe the coreflective hull of finite spaces in the category of L-fuzzy topological spaces.
引文
[1]Chen P,Zhang D.Alexandroff L-co-topological spaces[J].Fuzzy Sets and Systems,2010,161:2505~2514.
[2]Fang J,Sums of L-fuzzy topological spaces[J].Fuzzy Sets and Systems,2006,157:739~754.
[3]Gierz G,Hofmann H,Keimel K,JLawson J D,Mislove M W,Scott D S.Continuous lattices and domains[M].Cambridge:Cambridge University Press,2003.
[4]Herrlich H.Topologische reflexionen and coreflexionen[M].Berlin:Springer Verlag,1968.
[5]Herrlich H,Strecker E.Coreflective subcategories in general topology[J].Fundamenta Mathematicae,1972,73:199~218.
[6]H?hle U.Commutative,residuated l-monoids[Z]//H?hle U,Klement P.Non-classical logics and their applications to fuzzy subsets:handbook on the mathematical foundations of fuzzy set theory.Dordrecht:Kluwer Academic Publishers,1995:53~105.
[7]H?hle U,Sostak P.Axiomatic foundition of fixed-basis fuzzy topology[Z]//H?hle U,Rodabaugh S E.Mathematics of fuzzy sets,logic,topology and measure theory.Boston:Kluwer Academic Publishers,1999:123~272.
[8]Richel W.A class of spaces determined by sequences with their cluster points[J].Notices of American Mathematical Society,1967,14:698~699.
[9]Sostak P.Two decades of fuzzy topology:Basic ideal,notions and results[J].Russian Math.Sueveys,1989,46(6):125~186.
[10]Sostak P.On the neighborhood structure of a fuzzy topological space[J].Zb.Radova Uni.Nis,Ser Math.,1990,4:7~14.
[11]Sostak P.Basic structures of fuzzy topology[J].Journal of Mathematical Sciences,1996,78:662~701.
[12]Zhang D.An enriched category approach to many valued topology[J].Fuzzy Sets and Systems,2007,158:349~366.
[2]Fang J,Sums of L-fuzzy topological spaces[J].Fuzzy Sets and Systems,2006,157:739~754.
[3]Gierz G,Hofmann H,Keimel K,JLawson J D,Mislove M W,Scott D S.Continuous lattices and domains[M].Cambridge:Cambridge University Press,2003.
[4]Herrlich H.Topologische reflexionen and coreflexionen[M].Berlin:Springer Verlag,1968.
[5]Herrlich H,Strecker E.Coreflective subcategories in general topology[J].Fundamenta Mathematicae,1972,73:199~218.
[6]H?hle U.Commutative,residuated l-monoids[Z]//H?hle U,Klement P.Non-classical logics and their applications to fuzzy subsets:handbook on the mathematical foundations of fuzzy set theory.Dordrecht:Kluwer Academic Publishers,1995:53~105.
[7]H?hle U,Sostak P.Axiomatic foundition of fixed-basis fuzzy topology[Z]//H?hle U,Rodabaugh S E.Mathematics of fuzzy sets,logic,topology and measure theory.Boston:Kluwer Academic Publishers,1999:123~272.
[8]Richel W.A class of spaces determined by sequences with their cluster points[J].Notices of American Mathematical Society,1967,14:698~699.
[9]Sostak P.Two decades of fuzzy topology:Basic ideal,notions and results[J].Russian Math.Sueveys,1989,46(6):125~186.
[10]Sostak P.On the neighborhood structure of a fuzzy topological space[J].Zb.Radova Uni.Nis,Ser Math.,1990,4:7~14.
[11]Sostak P.Basic structures of fuzzy topology[J].Journal of Mathematical Sciences,1996,78:662~701.
[12]Zhang D.An enriched category approach to many valued topology[J].Fuzzy Sets and Systems,2007,158:349~366.