Displaying similar documents to “Classes of fuzzy filters of residuated lattice ordered monoids”

Semi-Hausdorff fuzzy filters.

Nayagam, V.Lakshmana Gomathi, Sivaraman, Geetha (2007)

International Journal of Mathematics and Mathematical Sciences

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Fuzzy n-fold integral filters in BL-algebras

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...

On convergence theory in fuzzy topological spaces and its applications

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 Q -relation and the Q -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 Q -compactness. We show that there is a relation between the convergence of fuzzy filters and the convergence of fuzzy...

Classes of filters in generalizations of commutative fuzzy structures

Jiří Rachůnek, Dana Šalounová (2009)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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Bounded commutative residuated lattice ordered monoids ( R -monoids) are a common generalization of 𝐵𝐿 -algebras and Heyting algebras, i.e. algebras of basic fuzzy logic and intuitionistic logic, respectively. In the paper we develop the theory of filters of bounded commutative R -monoids.