**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**9

# Search results for: ∈∨q)-fuzzy subalgebras

##### 9 Fuzzy Subalgebras and Fuzzy Ideals of BCI-Algebras with Operators

**Authors:**
Yuli Hu,
Shaoquan Sun

**Abstract:**

**Keywords:**
BCI-algebras,
BCI-algebras with operators,
fuzzy subalgebras,
fuzzy ideals,
fuzzy quotient algebras.

##### 8 (∈,∈∨q)-Fuzzy Subalgebras and Fuzzy Ideals of BCI-Algebras with Operators

**Authors:**
Yuli Hu,
Shaoquan Sun

**Abstract:**

**Keywords:**
BCI-algebras with operators,
(∈,
∈∨q)-fuzzy subalgebras,
(∈,
∈∨q)-fuzzy ideals,
(∈,
∈∨q)-fuzzy quotient algebras.

##### 7 Generalized Fuzzy Subalgebras and Fuzzy Ideals of BCI-Algebras with Operators

**Authors:**
Yuli Hu,
Shaoquan Sun

**Abstract:**

**Keywords:**
BCI-algebras with operators,
generalized fuzzy subalgebras,
generalized fuzzy ideals,
generalized fuzzy quotient algebras.

##### 6 Intuitionistic T-S Fuzzy Subalgebras and Ideals in BCI-algebras

**Authors:**
Shaoquan Sun,
Qianqian Li

**Abstract:**

The aim of this paper is to introduce the notions of intuitionistic T-S fuzzy subalgebras and intuitionistic T-S fuzzy ideals in BCI-algebras, and then to investigate their basic properties.

**Keywords:**
BCI-algebra,
intuitionistic T-S fuzzy subalgebra,
intuitionistic T-S fuzzy ideal,
norm intersection,
direct product,
epimorphism,
isomorphism.

##### 5 Computational Algorithm for Obtaining Abelian Subalgebras in Lie Algebras

**Authors:**
Manuel Ceballos,
Juan Nunez,
Angel F. Tenorio

**Abstract:**

**Keywords:**
Solvable Lie algebra,
maximal abelian dimension,
algorithm.

##### 4 Intuitionistic Fuzzy Subalgebras (Ideals) with Thresholds (λ, μ) of BCI-Algebras

**Authors:**
Shaoquan Sun,
Qianqian Li

**Abstract:**

Based on the theory of intuitionistic fuzzy sets, the concepts of intuitionistic fuzzy subalgebras with thresholds (λ, μ) and intuitionistic fuzzy ideals with thresholds (λ, μ) of BCI-algebras are introduced and some properties of them are discussed.

**Keywords:**
BCI-algebra,
intuitionistic fuzzy set,
intuitionistic
fuzzy subalgebra with thresholds (λ,
μ),
intuitionistic fuzzy ideal with
thresholds (λ,
μ).

##### 3 Some Results on Interval-Valued Fuzzy BG-Algebras

**Authors:**
Arsham Borumand Saeid

**Abstract:**

In this note the notion of interval-valued fuzzy BG-algebras (briefly, i-v fuzzy BG-algebras), the level and strong level BG-subalgebra is introduced. Then we state and prove some theorems which determine the relationship between these notions and BG-subalgebras. The images and inverse images of i-v fuzzy BG-subalgebras are defined, and how the homomorphic images and inverse images of i-v fuzzy BG-subalgebra becomes i-v fuzzy BG-algebras are studied.

**Keywords:**
BG-algebra,
fuzzy BG-subalgebra,
interval-valued fuzzy set,
interval-valued fuzzy BG-subalgebra.

##### 2 Algebras over an Integral Domain and Immediate Neighbors

**Authors:**
Shai Sarussi

**Abstract:**

**Keywords:**
Algebras over integral domains,
Alexandroff topology,
immediate neighbors,
integral domains.

##### 1 Integral Domains and Their Algebras: Topological Aspects

**Authors:**
Shai Sarussi

**Abstract:**

**Keywords:**
Algebras over integral domains,
Alexandroff topology,
valuation domains,
integral domains.