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Bipolar fuzzy ideals of subtraction algebras
전영배,이경자,박철환 장전수학회 2011 Proceedings of the Jangjeon mathematical society Vol.14 No.4
The notion of (escalated) bipolar fuzzy ideals of a subtraction algebra is introduced, and several properties are investigated. Characterizations of a bipolar fuzzy ideal are stated. A method to make an escalated bipolar fuzzy ideal of a bipolar fuzzy set f = (X; f_n, f_p) is provided.
A new kind of fuzzy filters in R_0-algebras
전영배,노은환 장전수학회 2011 Proceedings of the Jangjeon mathematical society Vol.14 No.4
As a generalization of [수식] -fuzzy lters, the notion of an [수식] fuzzy lter in an R_0-algebra is introduced, and related properties are investigated. Characterizations of an [수식] -fuzzy lter are obtained.
Existence of Fuzzy Ideals with Additional Conditions in BCK/BCI-algebras
전영배,박철환 한국수학교육학회 2007 純粹 및 應用數學 Vol.14 No.3
We give an answer to the following question:Question.LetS be a subset of [0;1] containing a maximal element m > 0 and letC := fIt j t 2 Sg be a decreasing chain of ideals of a BCK/BCI-algebraX: Thendoes there exists a fuzzy ideal ofX such that (X ) = S and C = C ?
Doubly simulative WFI-algebras
전영배,이경자,Chul Hwan Park 한국전산응용수학회 2009 Journal of applied mathematics & informatics Vol.27 No.1
Characterizations of simulative WFI-algebras are provided. Thenotion of commutators, doubly simulative parts, doubly simulativeWFI-algebras, and WFI-morphisms are introduced. Using the notionof commutators, the conditions for a WFI-algebra to besimulative are given. Characterizations of doubly simulativeWFI-algebras are discussed. Using the notion of doublysimulative WFI-algebras, a commutative pomonoid is established.
INTUITIONISTIC FUZZY COMMUTATIVE IDEALSOF BCK-ALGEBRAS
전영배,이동수,박철환 한국수학교육학회 2008 純粹 및 應用數學 Vol.15 No.1
After the introduction of fuzzy sets by Zadeh, there have been a number of generalizations of this fundamental concept. The notion of intuitionistic fuzzy sets introduced by Aranassov is one among them. In this paper, we apply the concept of an intuitionistic fuzzy set to commutative ideals in BCK-algebras. The notion of an intuitionistic fuzzy commutative ideal of a BCK-algebra is introduced, and some related properties are investigated. Characterizations of an intuitionistic fuzzy commutative ideal are given. Conditions for an intuitionistic fuzzy ideal to be an intuitionistic fuzzy commutative ideal are given. Using a collection of commutative ideals, intuitionistic fuzzy commutative ideals are established.
전영배,이경자,박철환 한국수학교육학회 2009 純粹 및 應用數學 Vol.16 No.1
The notion of a BCK-algebra with supremum (briefly, sBCK-algebra) is introduced, and several examples are given. Related properties are investigated. We show that every sBCK-algebra with an additional condition has the condition(S). The notion of a dry ideal of an sBCK-algebra is introduced. Conditions for an sBCK-algerba to be an spBCK-algebra are provided. We show that every sBCK-algebra satisfying additional condition is a semi-Brouwerian algebra.
CLASSIFICATIONS OF (α,β)-FUZZY SUBALGEBRAS OF BCK=BCI-ALGEBRAS
전영배,안선신,이경자 호남수학회 2014 호남수학학술지 Vol.36 No.3
Classifications of (α,β)-fuzzy subalgebras of BCK/BCI-algebras are discussed. Relations between (∈,∈ ∨q)-fuzzy subalgebras and (q,∈ ∨q)-fuzzy subalgebras are established. Given special sets, so called t-q-set and t-∈ ∨q-set, conditions for the t-q-set and t-∈ ∨q-set to be subalgebras are considered. The notions of (∈,q)max-fuzzy subalgebra, (q,∈)max-fuzzy subalgebra and (q,∈ ∨q)max-fuzzy subalgebra are introduced. Conditions for a fuzzy set to be an (∈,q)max-fuzzy subalgebra, a (q,∈)max-fuzzy subalgebra and a (q,∈ ∨q)max-fuzzy subalgebra are considered.
FALLING FUZZY BCI-COMMUTATIVE IDEALS
전영배,송석준 호남수학회 2014 호남수학학술지 Vol.36 No.3
On the basis of the theory of a falling shadow and fuzzy sets, the notion of a falling fuzzy BCI-commutative ideal of a BCI-algebra is introduced. Relations between falling fuzzy BCI-commutative ideals and falling fuzzy ideals are given. Relations between fuzzy BCI-commutative ideals and falling fuzzy BCI-commutative ideals are provided. Characterizations of a falling fuzzy BCI-commutative ideal are established, and conditions for a falling fuzzy (closed) ideal to be a falling fuzzy BCI-commutative ideal are considered.
FALLING SHADOWS APPLIED TO SUBALGEBRAS AND IDEALS OF BCK/BCI-ALGEBRAS
전영배,박철환 호남수학회 2012 호남수학학술지 Vol.34 No.2
falling subalgebra/ideal of a BCK/BCI-algebra is intro-duced. Relations between falling subalgebras and falling ideals are given. Relations between fuzzy subalgebras/ideals and falling sub-algebras/ideals are provided. A characterization of a falling ideal is established.