• Journal of applied mathematics & informatics
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• 제5권2호
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• pp.285-292
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• 1998

We introduce the notion of TL-p-subgroups that is an ex-tension of the notion of fuzzy p=subgroups and show that a torsion TL-subgroup of an Abelian group with T=${\bigwedge}$ can be written as the intersection of its minimal TL-p-subgroups.

• Korean Journal of Mathematics
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• 제9권2호
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• pp.149-156
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• 2001

We characterize some properties of $t$-fuzzy groups and $t$-fuzzy invariant groups and represent every subgroup S of a group X using the level set of $t$-fuzzy group constructed from S.

• 호남수학학술지
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• 제33권4호
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• pp.499-518
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• 2011

We obtain the interval-valued fuzzy subgroups generated by interval-valued fuzzy sets and some properties preserved by a ring homomorphism. Furthermore, we introduce the concepts of interval-valued fuzzy coset and study some of it's properties.

• 호남수학학술지
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• 제26권4호
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• pp.559-587
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• 2004

We study some properties of intuitionistic fuzzy normal subgroups of a group. In particular, we obtain two characterizations of intuitionistic fuzzy normal subgroups. Moreover, we introduce the concept of an intuitionistic fuzzy coset and obtain several results which are analogous of some basic theorems of group theory.

• Journal of applied mathematics & informatics
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• 제40권5_6호
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• pp.1181-1198
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• 2022

In this paper we are concerned with the number of fuzzy subgroups of a finite abelian p-group ℤ_p^m × ℤ_pⁿ × ℤ_p^ℓ of rank three with order p^m+n+ℓ. We obtain a recurrence relation for the number of fuzzy subgroups of a finite abelian p-group ℤ_p^m × ℤ_pⁿ × ℤ_p^ℓ. In order to show that using this recurrence relation, one can find explicit formulas for the number of fuzzy subgroups of ℤ_p^m × ℤ_pⁿ × ℤ_p^ℓ consecutively, we give explicit formulas for the number of fuzzy subgroups of ℤ_p^m × ℤ_pⁿ × ℤ_p^ℓ where (n, ℓ) = (1, 1), (2, 1), (3, 1), (4, 1), (5, 1), (2, 2), (3, 2), (4, 2), (5, 2).

• 한국지능시스템학회논문지
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• 제13권5호
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• pp.627-634
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• 2003

In this paper, we introduce the concepts of t-intuitionistic fuzzy subgroups and t-intuitionistic fuzzy subrings. And we study some properties of t-subgroups and t-subrings.

• 대한전자공학회논문지
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• 제27권11호
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• pp.103-110
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• 1990

本 論文에서는 퍼지推論을 利用한 온라인 筆記體 한글文字의 認識에 관하여 硏究하였다. 筆記者 마다의 筆體變動으로 인한 애매성을 解決하기 위해, 각 스트로크間의 相對位置情報마다 作成되는 生成 을 퍼지推論에 適用하여 筆記體 한글을 認識하였다. 處理시간을 短縮하기 위하여, 入力文字의 스트로크 數에 따라 미리 分類한 基準文字의 小群을 선택하였고, 이 小群의 文字들과 入力文字와의 거리에 許容限果를 주어 基準文字들을 감소시켜 퍼지推論에 적용하였다. 10人으로부터 수집된 39990字의 筆記體 한글文字에 대하여 實驗한 結果, $99.5{\%}$의 認識과 0.4초/文字의 平均處理 速度를 얻었다.

• Journal of applied mathematics & informatics
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• 제27권3_4호
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• pp.737-748
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• 2009

Using the notion of intuitionistic fuzzy subgroups, its roughness is discussed. With respect to a congruence relation on a group, several properties about the lower and upper approximations of a subset of a group are investigated.

• 한국지능시스템학회:학술대회논문집
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• 한국퍼지및지능시스템학회 2004년도 춘계학술대회 학술발표 논문집 제14권 제1호
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• pp.367-371
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• 2004

We study some properties of intuitionistic fuzzy normal subgroups of a group. In particular, we obtain two characterizations of intuitionistic fuzzy normal subgroups. Moreover, we introduce the concept of an intuitionistic fuzzy coset and obtain several results which are analogs of some basic theorems of group theory.

• International Journal of Fuzzy Logic and Intelligent Systems
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• 제12권3호
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• pp.205-214
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• 2012

We study some properties of interval-valued fuzzy normal subgroups of a group. In particular, we obtain two characterizations of interval-valued fuzzy normal subgroups. Moreover, we introduce the concept of an interval-valued fuzzy coset and obtain several results which are analogous of some basic theorems of group theory.