• 충청수학회지
• /
• 제32권2호
• /
• pp.207-214
• /
• 2019

The notions of a fuzzy simple BCK/BCI-algebra and an (${\in},{\in}{\vee}q$)-fuzzy simple BCK/BCI-algebra are introduced. Using these notions, characterizations of a simple BCK/BCI-algebra are considered.

• 대한수학회논문집
• /
• 제27권4호
• /
• pp.701-708
• /
• 2012

The notion of an enlarged $p$-ideal and a fuzzy $p$-ideal in BCI-algebras with degree are introduced. Related properties of them are investigated.

• 호남수학학술지
• /
• 제34권4호
• /
• pp.549-557
• /
• 2012

The notion of vague $q$-ideals of BCI-algebras is introduced, and several properties of them are investigated. Relations between a vague ideal and a vague $q$-ideal are discussed. Characterizations of a vague $q$-ideal are considered.

• 호남수학학술지
• /
• 제17권1호
• /
• pp.1-6
• /
• 1995

Our task will be to set up a fuzzy maximal p-ideal in BCI-algebras. We construct a new fuzzy p-ideal from old. We also prove that every fuzzy maximal p-ideal is normalized, and takes only the values {0.1}.

• 충청수학회지
• /
• 제25권2호
• /
• pp.241-251
• /
• 2012

The notion of an enlarged $q$-ideal and a fuzzy $q$-ideal in BCI-algebras with degree are introduced. Related properties of them are investigated.

• Journal of applied mathematics & informatics
• /
• 제32권1_2호
• /
• pp.27-38
• /
• 2014

The notion of generalized (regular) (${\alpha},\;{\beta}$)-derivations of a BCI-algebra is introduced, some useful examples are discussed, and related properties are investigated. The condition for a generalized (${\alpha},\;{\beta}$)-derivation to be regular is provided. The concepts of a generalized F-invariant (${\alpha},\;{\beta}$)-derivation and ${\alpha}$-ideal are introduced, and their relations are discussed. Moreover, some results on regular generalized (${\alpha},\;{\beta}$)-derivations are proved.

• Korean Journal of Mathematics
• /
• 제10권2호
• /
• pp.97-101
• /
• 2002

In this paper, we introduce the notion of T-part of BCI-algebras relative to a subset. We show that if A is a subalgebra of a BCI-algebra X, then so is the T-part $T_A(X)$ of X relative to A. We provide equivalent conditions that the T-part of X relative to A is an ideal.

• 충청수학회지
• /
• 제26권3호
• /
• pp.453-465
• /
• 2013

The notion of vague $p$-ideals and vague $a$-ideals of BCI-algebras is introduced, and several properties of them are investigated. We show that a vague set of a BCI-algebra is a vague $a$-ideal if and only if it is both a vague $q$-ideal and a vague $p$-ideal.

• 한국수학교육학회지시리즈B:순수및응용수학
• /
• 제15권3호
• /
• pp.297-308
• /
• 2008

The notions of vague BCK/BCI-algebras and vague ideals are introduced, and their properties are investigated. Conditions for a vague set to be a vague ideal are provided. Characterizations of a vague ideal are established.

• 호남수학학술지
• /
• 제44권2호
• /
• pp.148-164
• /
• 2022

The main purpose of this paper is to apply the notion of hesitant fuzzy sets to an algebraic structure, so called a BCI-algebra. The primary goal of the study is to define hesitant fuzzy p-ideals and hesitant fuzzy quasi-associative ideals in BCI-algebras, and to investigate their properties and relations.