• East Asian mathematical journal
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• 제25권1호
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• pp.69-87
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• 2009

In this paper we characterize f-derivations of a BCI-algebra as well as its center.

• 대한수학회논문집
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• 제18권2호
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• pp.225-233
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• 2003

In this paper, we obtain Hon(P,- ) is an exact functor if P is a p-projective BCI-algebra.

• Journal of applied mathematics & informatics
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• 제22권1_2호
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• pp.491-500
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• 2006

In this paper, we define intuitionistic fuzzy subalgebras of B-algebras which is related to several classes of algebras such as BCI/BCK-algebras. We could obtain some important results for the homomorphic image and equivalence relations on IFS(X).

• East Asian mathematical journal
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• 제21권2호
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• pp.163-170
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• 2005

We have proved that a finite BCI-algebra(X, *, 0) is a KL-product if and only if for any subset I of X such that $I{\times}X{\subseteq}I$ the cardinality of $0{\times}X$ divides the cardinality of I.

• Journal of applied mathematics & informatics
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• 제27권1_2호
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• pp.217-231
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• 2009

The notion of *-medial pseudo BCI-algebras is introduced, and its characterization is discussed. The concepts of associative pseudo ideals (resp. pseudo p-ideals, pseudo q-ideals and pseudo a-ideals) are introduced, and related properties are investigated. Conditions for a pseudo ideal to be a pseudo p-ideal (resp. pseudo q-ideal) are provided. A characterization of an associative pseudo ideal is given. We finally show that every pseudo BCI-homomorphic image and preimage of an associative pseudo ideal (resp. a pseudo p-ideal, a pseudo q-ideal and a pseudo a-ideal) is also an associative pseudo ideal (resp. a pseudo p-ideal, a pseudo q-ideal and a pseudo a-ideal).

• 대한수학회보
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• 제39권2호
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• pp.185-198
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• 2002

We Consider the fuzzification of sub-implicative ideals in BCI-algebras, and investigate some related properties. We give conditions for a fuzzy ideal to be a fuzzy sub-implicative ideal. we show that (1) every fuzzy sub-implicative ideal is a fuzzy ideal, but the converse is not true, (2) every fuzzy sub-implicative ideal is a fuzzy positive implicative ideal, but the converse is not true, and (3) every fuzzy p-ideal is a fuzzy sub-implicative ideal, but the converse is not true. Using a family of sub-implicative ideals of a BCI-algebra, we establish a fuzzy sub-implicative ideal, and using a level set of a fuzzy set in a BCI-algebra, we give a characterization of a fuzzy sub-implicative ideal.

• 호남수학학술지
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• 제31권4호
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• pp.601-609
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• 2009

The notion of generalized derivations of a BCI-algebra is introduced, and some related properties are investigated. Also, the concept of a torsion free BCI-algebra is introduced and some properties are discussed.

• 호남수학학술지
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• 제20권1호
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• pp.117-120
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• 1998

In this paper, we construct the uniformity of a BCI-algebra.

• 대한수학회논문집
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• 제24권3호
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• pp.353-360
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• 2009

Fuzzy translations, (normalized, maximal) fuzzy extensions and fuzzy multiplications of fuzzy subalgebras in BCK/BCI-algebras are discussed. Relations among fuzzy translations, (normalized, maximal) fuzzy extensions and fuzzy multiplications are investigated.

• 대한수학회논문집
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• 제26권4호
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• pp.531-542
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• 2011

The notion of bipolar fuzzy a-ideals of BCI-algebras is introduced, and their properties are investigated. Relations between bipolar fuzzy subalgebras, bipolar fuzzy ideals and bipolar fuzzy a-ideals are discussed. Conditions for a bipolar fuzzy ideal to be a bipolar fuzzy a-ideal are provided. Characterizations of bipolar fuzzy a-ideals are given. Using a finite collection of a-ideals, a bipolar fuzzy a-ideal is established.