Fuzzy filters in BCI-algebras.
Lele, C., Wu, C., Mamadou, T. (2002)
International Journal of Mathematics and Mathematical Sciences
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Lele, C., Wu, C., Mamadou, T. (2002)
International Journal of Mathematics and Mathematical Sciences
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Xin, Xiao Long, Ji, Wei, Hua, Xiu Juan (2011)
International Journal of Mathematics and Mathematical Sciences
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Nayagam, V.Lakshmana Gomathi, Sivaraman, Geetha (2007)
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...
Lowen, R.
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Zhan, Jianming, Jun, Young Bae, Dudek, Wiesław A. (2010)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Jun, Young Bae, Kim, Young Hee, Kim, Hee Sik (2002)
International Journal of Mathematics and Mathematical Sciences
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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...