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BCK=BCI-algebras

On Some Properties of Doubt Bipolar Fuzzy H-ideals in BCK/BCI-algebras

On Some Properties of Doubt Bipolar Fuzzy H-ideals in BCK/BCI-algebras

... This paper is a continuation of the papers [5] and [6]. We study some properties of doubt bipolar fuzzy H-ideals in BCK/ BCI -algebras. We provide relations between a doubt bipolar fuzzy H-ideal and ...

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Model Operator  on Doubt Intuitionistic Fuzzy H-ideals in BCK/BCI-algebras

Model Operator on Doubt Intuitionistic Fuzzy H-ideals in BCK/BCI-algebras

... in BCK/BCI-algebras and the effect of model operators on doubt intuitionistic fuzzy H-ideals in BCK/BCI -algebras under homomorphism and obtained some interesting ...

14

Applications of Double Framed T-Soft Fuzzy Sets in BCK/BCI-Algebras

Applications of Double Framed T-Soft Fuzzy Sets in BCK/BCI-Algebras

... The aim of this article is introduced the concept of double framed T-soft fuzzy set (DFT-soft fuzzy set) which is the combination of soft set and fuzzy set. We also defined the notions and apply this concept in ...

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Inf-hesitant Fuzzy Subalgebras and Ideals in BCK/BCI-algebras

Inf-hesitant Fuzzy Subalgebras and Ideals in BCK/BCI-algebras

... In this paper, we introduce some new types of hesitant fuzzy subalgebras and ideals in BCK/BCI-algebras, and investigate their relations and properties. Finally, we discuss the characterizations of ...

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FURTHER RESULTS OF NEUTROSOPHIC SUBALGEBRAS IN BCK=BCI-ALGEBRAS BASED ON NEUTROSOPHIC POINTS

FURTHER RESULTS OF NEUTROSOPHIC SUBALGEBRAS IN BCK=BCI-ALGEBRAS BASED ON NEUTROSOPHIC POINTS

... subalgebra and (q (k T ,k I ,k F ) , ∈)-neutrosophic subalgebra in BCK/BCI-algebras. We hope that this work will provide a deep impact on the upcoming research in this field and other related areas ...

9

Subalgebras and Ideals in BCK/BCI-algebras Based on Uni-hesitant Fuzzy Set Theory

Subalgebras and Ideals in BCK/BCI-algebras Based on Uni-hesitant Fuzzy Set Theory

... to BCK/BCI-algebras, MTL-algebras, EQ-algebras and semigroups (see [2], [3], [4] and ...lattices, BCK/BCI-algebras and lattice implication algebras (see [8], ...

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Graphs Based on BCK/BCI Algebras

Graphs Based on BCK/BCI Algebras

... The associated graphs of BCK/BCI-algebras will be studied. To do so, the notions of l-prime quasi-ideals and zero divisors are first introduced and related properties are investigated. The concept of ...

9

𝒩 Subalgebras in BCK/BCI Algebras Based on Point 𝒩 Structures

... Denote by FX, −1, 0 the collection of functions from a set X to −1, 0. We say that an element of FX, −1, 0 is a negative-valued function from X to −1, 0 briefly, N-function on X. By an N-structure we mean an ordered pair ...

9

A Literature Survey: Classification Of Soft Sets & Fuzzy Sets

A Literature Survey: Classification Of Soft Sets & Fuzzy Sets

... of BCK-algebras, commutative soft ideals and commutative idealistic soft BCK-algebras are introduced, and their basic properties are ...of BCK/BCI- algebras and introduced ...

6

Vol 3, No 11 (2012)

Vol 3, No 11 (2012)

... that BCK and BCI-algebras are two classes of algebras of ...researchers. BCK/BCI algebras form an algebraic semantic for CA Meriedith's ...of BCK- algebras ...

8

Commutative Pseudo Valuations on BCK Algebras

Commutative Pseudo Valuations on BCK Algebras

... D. Bus¸neag 1 defined pseudo valuation on a Hilbert algebra and proved that every pseudo valuation induces a pseudometric on a Hilbert algebra. Also, D. Bus¸neag 2 provided several theorems on extensions of pseudo ...

7

Bipolar vague a ideals of bci algebras

Bipolar vague a ideals of bci algebras

... of BCK/BCI-algebra were introduced by Iseki (1980) and were extensively investigated by many ...subtraction algebras. In (Arsham Bourmand Saied, 2009), the concept of vague ...

7

Some categorical aspects of BCH algebras

Some categorical aspects of BCH algebras

... We will follow standard definitions. Our categorical concepts will be those of standard texts [1, 17] to which we refer the reader for the definitions of standard categorical terms. We denote by BCK(BCI) ...

12

The Localization of Commutative Bounded BCK Algebras

The Localization of Commutative Bounded BCK Algebras

... (bounded) BCK-algebras, and then we deal with generalizations of results which are obtained in the paper [1] for case of Hilbert ...of algebras see ...

11

On branchwise implicative BCI algebras

On branchwise implicative BCI algebras

... a BCI-algebra X are pairwise disjoint and form its ...a BCI-algebra X plays an important role in investigation of the properties of ...a BCK- algebra X is a one-branch BCI-algebra and in this ...

9

Fuzzy filters in BCI algebras

Fuzzy filters in BCI algebras

... 1. Introduction. The main problem in fuzzy mathematics is how to carry out the ordinary concepts to the fuzzy case. The difficulty lies in how to pick out the rational generalization from the large number of available ...

8

Doubt fuzzy BCI algebras

Doubt fuzzy BCI algebras

... of BCI-algebras is called homomorphism if f (x∗ y) = f (x)∗ f (y) for all x,y ∈ X ...a BCI-algebra X is called an ideal of X if (i) 0 ∈ I , (ii) x ∗ y ∈ I and y ∈ I imply that x ∈ I ...

8

Coding theory and hyper BCK-algebras

Coding theory and hyper BCK-algebras

... Definition 3.2. A cut function of A, for e q ∈ H is defined to be a mapping A e q : A → {0, 1} such that (∀x ∈ A) ( A e q (x) = 1 ⇔ θ ∈ q ∗ A(x)). e Obviously, A e q is the characteristic function of A q = {x ∈ A|θ ∈ q ∗ ...

12

Intuitionistic fuzzy ideals of BCK algebras

Intuitionistic fuzzy ideals of BCK algebras

... A mapping f : X → Y of BCK-algebras is called a homomorphism if f (x ∗ y) = f (x) ∗ f (y) for all x,y ∈ X. Note that if f : X → Y is a homomorphism of BCK- algebras, then f (0) = 0. Let f : X ...

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Fuzzy multiply positive implicative hyper BCK ideals of hyper
BCK algebras

Fuzzy multiply positive implicative hyper BCK ideals of hyper BCK algebras

... to BCK-algebras, introduced the concept of a hyper BCK-algebra which is a generalization of a BCK-algebra, and investigated some related ...hyper BCK-ideals of hyper ...

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