Results 101 to 110 of about 164,918 (192)

Triangular norm-based intuitionistic fuzzy BE-algebras and filters [PDF]

Notes on IFS
In this paper, intuitionistic fuzzy BE-algebra that a generalization of the BCK-algebra is introduced with respect to t-norms and t-conorms. The various algebraic properties of triangular norm-based intuitionistic fuzzy BE-algebras are studied in detail,
Sinem Tarsuslu (Yılmaz)
doaj   +1 more source

A New Approach of Complex Fuzzy Ideals in BCK/BCI-Algebras

Mathematics
The concept of complex fuzzy sets, where the unit disk of the complex plane acts as the codomain of the membership function, as an extension of fuzzy sets. The objective of this article is to use complex fuzzy sets in BCK/BCI-algebras.
Manivannan Balamurugan, Thukkaraman Ramesh, Anas Al-Masarwah, Kholood Alsager   +3 more
doaj   +1 more source

Study of Cubic Q-ideals in Q-algebras

Ibn Al-Haitham Journal for Pure and Applied Sciences
The concept of cubic ideals is an important generalization in an algebraic structure. In this work, we introduce the notion of a cubic Q-sub-algebra and a cubic Q-ideal within a Q-algebra.
Fatema Faisal Kareem, Hussein A. Habib
doaj   +1 more source

On Q-algebras

International Journal of Mathematics and Mathematical Sciences, 2001
We introduce a new notion, called a Q-algebra, which is a generalization of the idea of BCH/BCI/BCK-algebras and we generalize some theorems discussed in BCI-algebras.
Joseph Neggers, Sun Shin Ahn, Hee Sik Kim   +2 more
doaj   +1 more source

Classifications of Hyper Pseudo BCK-algebras of Order 3

Ratio Mathematica, 2012
In this paper by considering the notion of hyper pseudo BCK-algebra, we classify the set of all non-isomorphic hyper pseudo BCK-algebras of order 3. For this, we define the notion of simple and normalcondition and we characterize the all of hyper pseudo ...
R. A. Borzooei, A. Rezazadeh, R. Ameri
doaj  

NEUTROSOPHIC N-IDEALS ON SHEFFER STROKE BCK-ALGEBRAS

, 2023
In this study, a neutrosophic N-subalgebra and neutrosophic N-ideal of a Sheffer stroke BCK-algebras are defined. It is shown that the level-set of a neutrosophic N-subalgebra (ideal) of a Sheffer stroke BCK-algebra is a subalgebra (ideal) of this ...
Oner, Tahsin, Katican, Tugce, Rezaei, Akbar   +2 more
core  

A Class of BCK-Algebras

, 2011
In this manuscript, we introduce a BCK-algebra, and show that this BCK-algebra is commutative, with the relative cancellation property, lower semi lattice and also it's with condition (S) but it's not positive implicative in some cases. Also we
Leila N Ranjbar, Zahra M Samaei, Ali N Mohammad, Azadani   +3 more
core  

N-Cubic q-Rung Orthopair Fuzzy Sets: Analysis of the Use of Mobile App in the Education Sector. [PDF]

Comput Intell Neurosci, 2022
Madasi JD, Khan S, Kausar N, Pamucar D, Gulistan M, Sorowen B.   +5 more
europepmc   +1 more source

On BCK-algebras

, 1979
본 논문에서는 K. Iyoshi Ise´ke가 소개한 BCK-algebra라고 불리우는 대수의 새로운 구조에 관하여 연구하였다. 이 논문에서는 다음과 같은 사실을 밝혔다. [1] 집합 A가 bounded implicative BCK-algebra X의 공집합이 아닌 부분집합일 때 다음 조건 (1)과 (2)는 동치이다. (1) A는 ideal이고, (2) i) x＜＝y, y∈A이면 x∈A이고, ii) x, y∈A이면 x∨y∈A이다.
윤혜선
core  

Commutative extended BCK-algebras

, 2011
We introduce an extended cone algebra, which generalises a Bosbach’s cone algebra within the framework of extended BCK-algebras and show that every such an algebra is a direct product of an ℓ-group and a cone algebra of Bosbach.
N. Subrahmanyam
core   +1 more source