A CATEGORY OF L-FUZZY CONVERGENCE SPACES

References

• Bourbaki , N. 1965 . Topologie générale Paris : Hermann .
   Google Scholar
• Choquet , G. 1948 . Convergences . Ann. Univ. Grenoble , 23 : 57 – 112 .
   Google Scholar
• Eklund , P. and Gähler , W. 1992 . Applications of category theory to fuzzy sets Edited by: Rodabaugh , S. E. , Klement , E. P. and Höhle , U. Dordrecht : Kluwer . Fuzzy filters, functors and convergence
   Google Scholar
• Fischer , H. R. 1959 . Limesräume . Math. Ann. , 137 : 269 – 303 .
   Web of Science ®Google Scholar
• Fréchet , M. 1906 . Quelques points du calcul fonctionnel . Rend. Circ. Mat. di Palermo , 22
   Google Scholar
• Gähler , W. 1977 . Grundstrukturen der Analysis I, II Basel and Stuttgart : Birkhäuser .
   Google Scholar
• Gähler , W. 1992 . Recent developments in general topology and its applications, Math Vol. 67 , 118 – 123 . Monadic topology—a new concept of generalized topology, In: Research Vol., Berlin
   Google Scholar
• Gutiérrez García , J. , Mardones Pérez , I. and Burton , M. H. 1999 . The relationship between various filter notions on a GL-monoid . J. Math. Anal. Appl. , 230 : 291 – 302 .
   Web of Science ®Google Scholar
• Höhle , U. 1978 . Probabilistische Topologien . Manuscripta Math. , 26 : 223 – 245 .
   Google Scholar
• Höhle , U. 1982 . Probabilistic topologies induced by L-fuzzy unformities . Manuscripta Math. , 38 : 289 – 323 .
   Google Scholar
• Höhle , U. 1995 . Non-classical logics and their applications to fuzzy subsets Edited by: Höhle , U. and Klement , E. P. Commutative, residuated L-monoids, In: Kluwer, Dordrecht
   Google Scholar
• Höhle , U. 1996 . Mv-algebra valued filter theory . Quaest. Math. , 19 : 23 – 46 .
   Google Scholar
• Höhle , U. 1997 . Categorical methods in algebra and topology—a collection of papers in honour of Horst Herrlich Edited by: Porst , H.-E. Vol. 48 , 223 – 250 . Locales and L-topologies, In: Math. Arbeitspapiere Vol., Univ. Bremen
   Google Scholar
• Höhle , U. 1999 . Mathematics of fuzzy sets: logic, topology and measure theory Edited by: Höhle , U. and Rodabaugh , S. E. Characterization of L-topologies by L-valued neighborhoods, In:, Kluwer, Dordrecht
   Google Scholar
• Höhle , U. and Sostak , A. P. 1999 . Mathematics of fuzzy sets: logic, topology and measure theory Edited by: Höhle , U. and Rodabaugh , S. E. Axiomatic foundations of fixed-basis fuzzy topology, In:, Kluwer, Dordrecht
   Google Scholar
• Jäger , G. 1999 . On fuzzy function spaces . Int. J. Math. & Math. Sci. , 22 : 727 – 737 .
   Google Scholar
• Jäger , G. 2000 . Compactness in fuzzy function spaces . Quaest. Math. , 23 : 203 – 217 .
   Google Scholar
• Jäger , G. 2001 . Even continuity and equicontinuity in fuzzy topology . Fuzzy Sets & Systems , 123 : 49 – 57 .
   Google Scholar
• Johnstone , P. T. 1982 . Stone spaces Cambridge : Cambridge University Press .
   Google Scholar
• Kent , D. C. 1964 . Convergence functions and their related topologies . Fund. Math. , 54 : 125 – 133 .
   Google Scholar
• Kowalsky , H. J. 1954 . Limesräume und Komplettierung . Math. Nachr. , 12 : 301 – 340 .
   Google Scholar
• Lowen , E. , Lowen , R. and Wuyts , P. 1991 . The categorical topology approach to fuzzy topology and fuzzy convergence . Fuzzy Sets and Systems , 40 : 347 – 373 .
   Google Scholar
• Lowen , E. and Lowen , R. 1992 . Applications of category theory to fuzzy sets Edited by: Rodabaugh , S. E. , Klement , E. P. and Höhle , U. A topological universe extension of FTS, In: Kluwer, Dordrecht
   Google Scholar
• Lowen , R. 1979 . Convergence in fuzzy topological spaces . Gen. Top. Appl. , 10 : 147 – 160 .
   Web of Science ®Google Scholar
• Lowen , R. 1982 . Fuzzy neighborhood spaces . Fuzzy Sets & Systems , 7 : 165 – 189 .
   Web of Science ®Google Scholar
• Poppe , H. 1974 . Compactness in general function spaces Berlin : VEB Deutscher Verlag der Wis-senschaften .
   Google Scholar
• Preuss , G. 1995 . Semiuniform convergence spaces . Math. Japonica , 41 : 465 – 491 .
   Google Scholar