Results 21 to 30 of about 347 (90)

T‐fuzzy multiply positive implicative BCC‐ideals of BCC‐algebras

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 42, Page 2653-2665, 2003., 2003
The concept of fuzzy multiply positive BCC‐ideals of BCC‐algebras is introduced, and then some related results are obtained. Moreover, we introduce the concept of T‐fuzzy multiply positive implicative BCC‐ideals of BCC‐algebras and investigate T‐product of T‐fuzzy multiply positive implicative BCC‐ideals of BCC‐algebras, examining its properties. Using
Jianming Zhan, Zhisong Tan
wiley   +1 more source

On  , qk  -intuitionistic (fuzzy ideals, fuzzy soft ideals) of subtraction algebras [PDF]

open access: yesSongklanakarin Journal of Science and Technology (SJST), 2015
The intent of this article is to study the concept of an  ,  k   q -intuitionistic fuzzy ideal and    , qk  -intuitionistic fuzzy soft ideal of subtraction algebras and to introduce some related properties.
Madad Khan   +4 more
doaj  

On branchwise implicative BCI‐algebras

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 7, Page 417-425, 2002., 2002
We introduce a new class of BCI‐algebras, namely the class of branchwise implicative BCI‐algebras. This class contains the class of implicative BCK‐algebras, the class of weakly implicative BCI‐algebras (Chaudhry, 1990), and the class of medial BCI‐algebras.
Muhammad Anwar Chaudhry
wiley   +1 more source

Left Zeroid and Right Zeroid Elements of Γ-Semirings

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2017
In this paper we introduce the notion of a left zeroid and a right zeroid of Γ -semirings. We prove that, a left zeroid of a simple Γ-semiring M is regular if and only if M is a regular Γ -semiring.
Rao M. Murali Krishna, Kumar K.R.
doaj   +1 more source

Doubt fuzzy BCI‐algebras

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 1, Page 49-56, 2002., 2002
The aim of this note is to introduce the notion of doubt fuzzy p‐ideals in BCI‐algebras and to study their properties. We also solve the problem of classifying doubt fuzzy p‐ideals and study fuzzy relations on BCI‐algebras.
Zhan Jianming, Tan Zhisong
wiley   +1 more source

Selected Properties of Some Generalizations of BCK Algebras

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2020
The notion of a RM algebra, introduced recently, is a generalization of many other algebras of logic. The class of RM algebras contains (weak-)BCC algebras, BCH algebras, BCI algebras, BCK algebras and many others. A RM algebra is an algebra A = (A; →, 1)
Dymek Grzegorz
doaj   +1 more source

Fuzzy implicative hyper BCK‐ideals of hyper BCK‐algebras

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 2, Page 63-70, 2002., 2002
We consider the fuzzification of the notion of implicative hyper BCK‐ideals, and then investigate several properties. Using the concept of level subsets, we give a characterization of a fuzzy implicative hyper BCK‐ideal. We state a relation between a fuzzy hyper BCK‐ideal and a fuzzy implicative hyper BCK‐ideal.
Young Bae Jun, Wook Hwan Shim
wiley   +1 more source

The prime and maximal spectra and the reticulation of residuated lattices with applications to De Morgan residuated lattices

open access: yesOpen 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

Study hoop algebras by fuzzy (n-fold) obstinate filters

open access: yesTopological 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 some classes of BCH‐algebras

open access: yesInternational 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

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