Search results for: Young Bae Jun

Items from 1 to 20 out of 103 results

article

Soju Filters in Hoop Algebras

Rajab Ali Borzooei, Gholam Reza Rezaei, Mona Aaly Kologhani, Young Bae Jun

Bulletin of the Section of Logic > 2021 > 50 > 1 > 97-123

The notions of (implicative) soju filters in a hoop algebra are introduced, and related properties are investigated. Relations between a soju sub-hoop, a soju filter and an implicative soju filter are discussed. Conditions for a soju filter to be implicative are displayed, and characterizations of an implicative soju filters are considered. The extension property of an implicative soju filter is established.

article

On GE-algebras

Ravikumar Bandaru, Arsham Borumand Saeid, Young Bae Jun

Bulletin of the Section of Logic > 2021 > 50 > 1 > 81-96

Hilbert algebras are important tools for certain investigations in intuitionistic logic and other non-classical logic and as a generalization of Hilbert algebra a new algebraic structure, called a GE-algebra (generalized exchange algebra), is introduced and studied its properties. We consider filters, upper sets and congruence kernels in a GE-algebra. We also characterize congruence kernels of transitive...

article

Length Neutrosophic Subalgebras of BCK=BCI-Algebras

Young Bae Jun, Madad Khan, Florentin Smarandache, Seok-Zun Song

Bulletin of the Section of Logic > 2020 > 49 > 4 > 377-400

Given i, j, k ∈ {1,2,3,4}, the notion of (i, j, k)-length neutrosophic subalgebras in BCK=BCI-algebras is introduced, and their properties are investigated. Characterizations of length neutrosophic subalgebras are discussed by using level sets of interval neutrosophic sets. Conditions for level sets of interval neutrosophic sets to be subalgebras are provided.

article

Inf-Hesitant Fuzzy Ideals in BCK/BCI-Algebras

Young Bae Jun, Seok-Zun Song

Bulletin of the Section of Logic > 2020 > 49 > 1

Based on the hesitant fuzzy set theory which is introduced by Torra in the paper [12], the notions of Inf-hesitant fuzzy subalgebras, Inf-hesitant fuzzy ideals and Inf-hesitant fuzzy p-ideals in BCK/BCI-algebras are introduced, and their relations and properties are investigated. Characterizations of an Inf-hesitant fuzzy subalgebras, an Inf-hesitant fuzzy ideals and an Inf-hesitant fuzzy p-ideal...

article

Complex Fuzzy Sets with Application in BCK/BCI-Algebras

Young Bae Jun, Xiao Long Xin

Bulletin of the Section of Logic > 2019 > 48 > 3 > 173-185

As a generation of fuzzy set, the notion of complex fuzzy set which is an innovative concept is introduced by Ramot, Milo, Friedman and Kandel. The purpose of this article is to apply complex fuzzy set to BCK/BCI-algebras. The notions of a complex subalgebra and a complex left (right) reduced ideal in a BCK/BCI- algebra are introduced, and related properties are investigated. Characterizations of...

article

Implicative UP-filters

Young Bae Jun, Aiyared Iampan

Afrika Matematika > 2019 > 30 > 7-8 > 1093-1101

The notion of implicative UP-filters is introduced, and several properties are investigated. The relation between UP-filters and implicative UP-filters is considered. Conditions for UP-filter to be implicative UP-filter are given, and characterizations of (implicative) UP-filters are discussed. An extension property for implicative UP-filter is established.

article

Positive Implicative Soju Ideals in BCK-Algebras

Xiao Long Xin, Rajab Ali Borzooei, Young Bae Jun

Bulletin of the Section of Logic > 2019 > 48 > 1

The notion of positive implicative soju ideal in BCK-algebra is introduced, and several properties are investigated. Relations between soju ideal and positive implicative soju ideal are considered, and characterizations of positive implicative soju ideal are established. Finally, extension property for positive implicative soju ideal is constructed.

article

Possible isolation number of a matrix over nonnegative integers

LeRoy B. Beasley, Young Bae Jun, Seok-Zun Song

Czechoslovak Mathematical Journal > 2018 > 68 > 4 > 1055-1066

Let ℤ₊ be the semiring of all nonnegative integers and A an m × n matrix over ℤ₊. The rank of A is the smallest k such that A can be factored as an m × k matrix times a k×n matrix. The isolation number of A is the maximum number of nonzero entries in A such that no two are in any row or any column, and no two are in a 2 × 2 submatrix of all nonzero entries. We have that the isolation number of A is...

article

Some studies on algebraic integers in $$\mathbb {Q} (i,\sqrt{3})$$ Q ( i , 3 ) by using coset diagram

Saima Anis, Seok-Zun Song, Young Bae Jun, Florentin Smarandache

Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry > 2019 > 60 > 1 > 157-165

In this paper, we studied the action of Picard modular group $$PSL(2, \mathbb {Z} [i])$$ P S L ( 2 , Z [ i ] ) denoted by $$\Gamma $$ Γ on the biquadratic field $$ \mathbb {Q} \left( i,\sqrt{3}\right) $$ Q i , 3 . We found patern of algebraic integers formed by this action. To prove results we used coset diagrams for the action of $$\Gamma $$ Γ on $$ \mathbb {Q} \left(...

article

A generalization of $$(\in , \in \vee q)$$ (∈,∈∨q) -fuzzy ternary subsemigroups

Noor Rehman, Jeong Gi Kang, Young Bae Jun

Afrika Matematika > 2018 > 29 > 5-6 > 887-898

Using more general form of quasi-coincident fuzzy points, the notion of $$({\tilde{\alpha }},$$ (α~, $${\tilde{\beta }})$$ β~) -fuzzy ternary subsemigroups is introduced. Several properties are discussed. Characterizations of $$(\in ,$$ (∈, $$\in \! \vee \, q^{\delta }_0)$$ ∈∨q0δ) -fuzzy ternary subsemigroups are considered. Relations between$$(\in ,$$ (∈, $$\in )$$ ∈) -fuzzy ternary subsemigroups...

article

Int-Soft Ideals of Pseudo MV-Algebras

Young Bae Jun, Seok-Zun Song, Hashem Bordbar

Bulletin of the Section of Logic > 2018 > 47 > 1

The notion of (implicative) int-soft ideal in a pseudo MV -algebra is introduced, and related properties are investigated. Conditions for a soft set to be an int-soft ideal are provided. Characterizations of (implicative) int-soft ideal are considered. The extension property for implicative int-soft ideal is established.

article

Ideals and Subalgebras in BCI-Algebras

Wenping Huang, Young Bae Jun

Abstract.We prove that there exists a maximal ideal of a BCI-algebra X in which each subalgebra is an ideal.

chapter

R-intersections and R-unions of neutrosophic cubic sets

Young Bae Jun, Florentin Smarandache, Chang Su Kim

2016 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE) > 2441 - 2443

2016 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)

R-unions and R-intersections of T-external (Iexternal, F-external) neutrosophic cubic sets are considered. Examples to show that the R-intersection and R-union of Texternal (I-external, F-external) neutrosophic cubic sets may not be a T-external (I-external, F-external) neutrosophic cubic set are provided. Conditions for the R-union and R-intersection of T-external (I-external, F-external) neutrosophic...

article

Commutative Energetic Subsets of BCK-Algebras

Young Bae Jun, Eun Hwan Roh, Seok Zun Song

Bulletin of the Section of Logic > 2016 > 45 > 1

The notions of a C-energetic subset and (anti) permeable C-value in BCK-algebras are introduced, and related properties are investigated. Conditions for an element t in [0, 1] to be an (anti) permeable C-value are provided. Also conditions for a subset to be a C-energetic subset are discussed. We decompose BCK-algebra by a partition which consists of a C-energetic subset and a commutative ideal.

article

Quotient BCK/BCI-algebras induced by soft sets

Young Bae Jun, Seok Zun Song

Afrika Matematika > 2016 > 27 > 7-8 > 1339-1346

The present paper deals with a new quotient structure of BCK/BCI-algebras using int-soft ideals. The fundamental homomorphism theorem of quotient BCK/BCI-algebras is established. Characterizations of commutative (implicative, positive implicative) quotient BCK/BCI-algebras are discussed.

chapter

On $(\bar\in,\bar\in\vee \bar q)$ -Fuzzy Filters of Residuated Lattices

Yi-quan Zhu, Jian-ming Zhan, Young Bae Jun

Advances in Intelligent and Soft Computing > Quantitative Logic and Soft Computing 2010 > Soft Computing > 631-640

The aim of this paper is to develop further the fuzzy filter theory of general residuated lattices. Mainly, we introduce the concept of $(\bar\in,\bar\in\vee \bar q)$ - fuzzy regular filters in general residuated lattices, and derive some of their characterizations. Moreover, we discuss some relations between $(\bar\in,\bar\in\vee \bar q)$ - fuzzy regular filters and several other special ...

article

Uni-soft structure applied to ordered semigroups

Asghar Khan, Raees Khan, Young Bae Jun

Soft Computing > 2017 > 21 > 4 > 1021-1030

The notions of uni-soft types of ideals, bi-ideals, quasi-ideals and interior ideals in ordered semigroups are considered. The main goal of this paper is to study some classes of ordered semigroups and to investigate some interesting characterization theorems of these classes in terms of uni-soft types of ideals. In this respect, we characterize weakly regular ordered semigroups, intra-regular and...

article

Some kinds of falling fuzzy filters of lattice implication algebras

Xue-ling Ma, Jian-ming Zhan, Young-Bae Jun

Applied Mathematics-A Journal of Chinese Universities > 2015 > 30 > 3 > 299-316

In this paper, the concepts of falling fuzzy (implicative, associative) filters of lattice implication algebras based on the theory of falling shadows and fuzzy sets are presented at first. And then the relations between fuzzy (implicative, associative) filters and falling fuzzy (implicative, associative) filters are provided. In particular, we put forward an open question on a kind of falling fuzzy...

article

Characterizations of hemirings in terms of cubic $$h$$ h -ideals

Asghar Khan, Young Bae Jun, Syed Inayat Ali Shah, Majid Ali

Soft Computing > 2015 > 19 > 8 > 2133-2147

Some operational properties of cubic sets are first investigated. The notion of cubic $$h$$ h -ideals, cubic $$h$$ h -bi-ideals and cubic $$h$$ h -quasi-ideals are introduced and several properties are provided. The characterizations of $$h$$ h -hemiregular hemirings, $$h$$ h -intra-hemiregular hemirings and of both $$h$$ h -hemiregular and $$h$$...

article

Linear operators that preserve graphical properties of matrices: Isolation numbers

LeRoy B. Beasley, Seok-Zun Song, Young Bae Jun

Czechoslovak Mathematical Journal > 2014 > 64 > 3 > 819-826

Let _A be a Boolean {0, 1} matrix. The isolation number of A is the maximum number of ones in A such that no two are in any row or any column (that is they are independent), and no two are in a 2 × 2 submatrix of all ones. The isolation number of A is a lower bound on the Boolean rank of A. A linear operator on the set of m × n Boolean matrices is a mapping which is additive and maps the zero matrix,...

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INFONA - science communication portal

Search results for: Young Bae Jun

Soju Filters in Hoop Algebras

On GE-algebras

Length Neutrosophic Subalgebras of BCK=BCI-Algebras

Inf-Hesitant Fuzzy Ideals in BCK/BCI-Algebras

Complex Fuzzy Sets with Application in BCK/BCI-Algebras

Implicative UP-filters

Positive Implicative Soju Ideals in BCK-Algebras

Possible isolation number of a matrix over nonnegative integers

Some studies on algebraic integers in $$\mathbb {Q} (i,\sqrt{3})$$ Q ( i , 3 ) by using coset diagram

A generalization of $$(\in , \in \vee q)$$ (∈,∈∨q) -fuzzy ternary subsemigroups

Int-Soft Ideals of Pseudo MV-Algebras

Ideals and Subalgebras in BCI-Algebras

R-intersections and R-unions of neutrosophic cubic sets

Commutative Energetic Subsets of BCK-Algebras

Quotient BCK/BCI-algebras induced by soft sets

On $(\bar\in,\bar\in\vee \bar q)$ -Fuzzy Filters of Residuated Lattices

Uni-soft structure applied to ordered semigroups

Some kinds of falling fuzzy filters of lattice implication algebras

Characterizations of hemirings in terms of cubic $$h$$ h -ideals

Linear operators that preserve graphical properties of matrices: Isolation numbers

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