Results 31 to 40 of about 558 (113)
On some classes of BCH‐algebras
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 3, Page 205-211, 2001., 2001 The concept of a BCH‐algebra is a generalization of the concept of a BCI‐algebra. It is shown that weakly commutative BCH‐algebras are weakly commutative BCI‐algebras. Moreover, the concepts of weakly positive implicative and weakly implicative BCH‐algebras are defined and it is shown that every weakly implicative BCH‐algebra is a weakly positive ...
Muhammad Anwar Chaudhry +1 more
wiley +1 more source
Study hoop algebras by fuzzy (n-fold) obstinate filters
Topological Algebra and its Applications, 2023 In this article, we introduce the concept of fuzzy (n-fold) obstinate filter on hoop algebras and study some of the properties. We define and study fuzzy prime filter and fuzzy n-fold implicative filter on hoop algebras.
Namdar Ameneh, Saeid Arsham Borumand
doaj +1 more source
On n‐fold fuzzy implicative/commutative ideals of BCK‐algebras
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 7, Page 419-424, 2001., 2001 We consider the fuzzification of the notion of an n‐fold implicative ideal, an n‐fold (weak) commutative ideal. We give characterizations of an n‐fold fuzzy implicative ideal. We establish an extension property for n‐fold fuzzy commutative ideals.
Young Bae Jun
wiley +1 more source
Folding Theory of Implicative and Obstinate Ideals in Bl-Algebras
Discussiones Mathematicae - General Algebra and Applications, 2018 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
Paad Akbar
doaj +1 more source
Open Mathematics, 2020 In this paper, by using the ideal theory in residuated lattices, we construct the prime and maximal spectra (Zariski topology), proving that the prime and maximal spectra are compact topological spaces, and in the case of De Morgan residuated lattices ...
Holdon Liviu-Constantin
doaj +1 more source
Strong fuzzy GE-filters and fuzzy GE-ideals of bordered GE-algebras
Topological Algebra and its Applications, 2023 The notion of strong fuzzy generalized exchange (GE)-filters and fuzzy GE-ideals of bordered GE-algebras is studied, and their related properties are investigated.
Alemayehu Teferi Getachew +3 more
doaj +1 more source
On n‐fold fuzzy positive implicative ideals of BCK‐algebras
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 9, Page 525-537, 2001., 2001 We consider the fuzzification of the notion of an n‐fold positive implicative ideal. We give characterizations of an n‐fold fuzzy positive implicative ideal. We establish the extension property for n‐fold fuzzy positive implicative ideals, and state a characterization of PIn‐Noetherian BCK‐algebras.
Young Bae Jun, Kyung Ho Kim
wiley +1 more source
On imaginable T‐fuzzy subalgebras and imaginable T‐fuzzy closed ideals in BCH‐algebras
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 5, Page 269-287, 2001., 2001 We inquire further into the properties on fuzzy closed ideals. We give a characterization of a fuzzy closed ideal using its level set, and establish some conditions for a fuzzy set to be a fuzzy closed ideal. We describe the fuzzy closed ideal generated by a fuzzy set, and give a characterization of a finite‐valued fuzzy closed ideal. Using a t‐norm T,
Young Bae Jun, Sung Min Hong
wiley +1 more source
Fuzzy Translations of Fuzzy H-ideals in $Bck/bci$-algebras [PDF]
, 2015 In this paper, the concepts of fuzzy translation to fuzzy H-ideals in BCK/BCI-algebras are introduced. The notion of fuzzy extensions and fuzzy mul-tiplications of fuzzy H-ideals with several related properties are investigated.
Senapati, T. (Tapan)
core +1 more source
On fuzzy dot subalgebras of BCH‐algebras
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 6, Page 357-364, 2001., 2001 We introduce the notion of fuzzy dot subalgebras in BCH‐algebras, and study its various properties.
Sung Min Hong +3 more
wiley +1 more source