Temat: n-fold obstinate BL-algebra - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Fuzzy n-fold integral filters in BL-algebras
Autorzy:: Borzooei, Rajab
Paad, Akbar
Powiązania:: https://bibliotekanauki.pl/articles/728978.pdf
Data publikacji:: 2013
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: BL-algebra
fuzzy n-fold obstinate filter
n-fold obstinate BL-algebra
n-fold integral BL-algebra and fuzzy n-fold integra filter
Opis:: 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 integral filters and fuzzy n-fold fantastic filters
Źródło:: Discussiones Mathematicae - General Algebra and Applications; 2013, 33, 1; 57-71
1509-9415
Pojawia się w:: Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Folding Theory of Implicative and Obstinate Ideals in Bl-Algebras
Autorzy:: Paad, Akbar
Powiązania:: https://bibliotekanauki.pl/articles/52762631.pdf
Data publikacji:: 2018-12-01
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: BL-algebra
ideal
n-fold implicative ideal
n-fold obstinate ideal
Opis:: In this paper, the concepts of n-fold implicative ideals and n-fold obstinate ideals in BL-algebras are introduced. With respect to this concepts, some related results are given. In particular, it is proved that an ideal is an n-fold implicative ideal if and only if is an n-fold Boolean ideal. Also, it is shown that a BL-algebra is an n-fold integral BL-algebra if and only if trivial ideal {0} is an n-fold obstinate ideal. Moreover, the relation between n-fold obstinate ideals and n-fold (integral) obstinate filters in BL-algebras are studied by using the set of complement elements. Finally, it is proved that ideal I of BL-algebra L is an n-fold obstinate ideal if and only if \(\frac{L}{I}\) is an n-fold obstinate BL-algebra.
Źródło:: Discussiones Mathematicae - General Algebra and Applications; 2018, 38, 2; 255-271
1509-9415
Pojawia się w:: Discussiones Mathematicae - General Algebra and Applications
Dostawca treści:: Biblioteka Nauki

Artykuł

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