A fuzzification of the category of M-valued L-topological spaces

• Kubiak, Tomasz ^[1] ; Sostak, Alexander P. ^[2]
  1. [1] Adam Mickiewicz University in Poznań

     Adam Mickiewicz University in Poznań

     Poznań, Polonia

     
  2. [2] University of Latvia

     University of Latvia

     Letonia

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 5, Nº. 2, 2004, págs. 137-154
• Idioma: inglés
• DOI: 10.4995/agt.2004.1965
• Enlaces
  • Texto completo
• Resumen

  • A fuzzy category is a certain superstructure over an ordinary category in which ”potential” objects and ”potential” morphisms could be such to a certain degree. The aim of this paper is to introduce a fuzzy category FTOP(L,M) extending the category TOP(L,M) of M-valued L- topological spaces which in its turn is an extension of the category TOP(L) of L-fuzzy topological spaces in Kubiak-Sostak’s sense. Basic properties of the fuzzy category FTOP(L,M) and its objects are studied.

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