-Fuzzy topological concepts
Macho Stadler, M., Prada Vicente, M.A. de (1992)
Portugaliae mathematica
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Macho Stadler, M., Prada Vicente, M.A. de (1992)
Portugaliae mathematica
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Jäger, Gunther (1999)
International Journal of Mathematics and Mathematical Sciences
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Lowen, R.
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Nouh, Ali Ahmed (2005)
Czechoslovak Mathematical Journal
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In this paper we introduce and study new concepts of convergence and adherent points for fuzzy filters and fuzzy nets in the light of the -relation and the -neighborhood of fuzzy points due to Pu and Liu [28]. As applications of these concepts we give several new characterizations of the closure of fuzzy sets, fuzzy Hausdorff spaces, fuzzy continuous mappings and strong -compactness. We show that there is a relation between the convergence of fuzzy filters and the convergence of fuzzy...
Jäger, Gunther (2002)
International Journal of Mathematics and Mathematical Sciences
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Rajab Ali Borzooei, Akbar Paad (2013)
Discussiones Mathematicae - General Algebra and Applications
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In this paper, we introduce the notion of fuzzy n-fold integral filter in BL-algebras and we state and prove several properties of fuzzy n-fold integral filters. Using a level subset of a fuzzy set in a BL-algebra, we give a characterization of fuzzy n-fold integral filters. Also, we prove that the homomorphic image and preimage of fuzzy n-fold integral filters are also fuzzy n-fold integral filters. Finally, we study the relationship among fuzzy n-fold obstinate filters, fuzzy n-fold...
Francisco Gallego Lupiáñez (2003)
Mathware and Soft Computing
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The basic concepts of the theory of intuitionistic fuzzy topological spaces have been defined by D. Çoker and co-workers. In this paper, we define new notions of Hausdorffness in the intuitionistic fuzzy sense, and obtain some new properties, in particular on convergence.
Jiří Michálek (1975)
Kybernetika
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