• Journal of applied mathematics & informatics
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• 제28권1_2호
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• pp.175-192
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• 2010

In this paper, we introduced the notion of T-vague n-ary subgroups on n-ary subgroups (G, f) and have studied their related properties.

• 충청수학회지
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• 제9권1호
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• pp.89-99
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• 1996

We introduce and study certain subgroups of homotopy groups which contain evaluation subgroups and use these subgroups to obtain a sequence similar to homotopy sequence of fibration. We use the sequence to calculate evaluation subgroups or generalized evaluation subgroups of some topological pair.

• Journal of applied mathematics & informatics
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• 제6권2호
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• pp.639-648
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• 1999

We investigate some conditions for a TL-subgroup to be written as the intersection of its all the least TL-p-subgroups.

• 한국지능시스템학회:학술대회논문집
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• 한국퍼지및지능시스템학회 1998년도 추계학술대회 학술발표 논문집
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• pp.16-20
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• 1998

We introduce the notion of TL-P*-subgroups which is an extension of the notion of TL-P*-subgroups and investigate basic properties of TL-P*-subgroups. And we consider decompositions of TL-subgroups.

• 대한수학회보
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• 제41권3호
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• pp.465-472
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• 2004

A group G is said to satisfy the maximal condition on infinite normal subgroups if there does not exist an infinite properly ascending chain of infinite normal subgroups. We characterize the structure of locally nilpotent groups satisfying this chain condition. We then show how to construct locally nilpotent groups with the maximal condition on infinite normal subgroups, but not the maximal condition on subgroups.

• Journal of the Korean Data and Information Science Society
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• 제14권4호
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• pp.939-950
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• 2003

Control charts are very useful tool for monitoring of process characteristics. This paper discusses the problem of design of control limits when the subgroups are composed by cluster sampling type. As an alternative method of design of control limits XbBar chart is proposed, which uses the control limits based on the variation between subgroups instead of using classical variation within subgroups. Two examples are presented for reasonable design of control limits and conditions of subgroups based on the cluster sampling. Through examples the guidelines for making proper control limits are proposed.

• 충청수학회지
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• 제22권3호
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• pp.587-591
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• 2009

The structure of a TL-subgroup can be understood from the representations of the TL-sub group as meets of TL-subgroups containing the TL-subgroup. Indeed, the structure of the meet of TL-subgroups can easily be obtained from the structures of the TL-subgroups and the structures of the TL-subgroups may be more simple than the structure of the meet. In this paper, we discuss meet-reducibility of TL-subgroups.

• Journal of applied mathematics & informatics
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• 제40권3_4호
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• pp.719-727
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• 2022

In this paper, the concept of (𝛾, 𝜕)-fuzzy HX-subgroups is introduced. We present some properties of (𝛾, 𝜕)-normal fuzzy HX-subgroups and we discuss some results related to (𝛾, 𝜕)-fuzzy cosets.

• 호남수학학술지
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• 제35권4호
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• pp.565-582
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• 2013

We study the conditions under which a given interval-valued fuzzy subgroup of a given group can or can not be realized as a union of two interval-valued fuzzy proper subgroups. Moreover, we provide a simple necessary and su cient condition for the unio of an arbitrary family of interval-valued fuzzy subgroups to be an interval-valued fuzzy subgroup. Also we formulate the concept of interval-valued fuzzy subgroup generated by a given interval-valued fuzzy set by level subgroups. Furthermore we give characterizations of interval-valued fuzzy conjugate subgroups and interval-valued fuzzy characteristic subgroups by their level subgroups. Also we investigate the level subgroups of the homomorphic image of a given interval-valued fuzzy subgroup.

• International Journal of Fuzzy Logic and Intelligent Systems
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• 제6권1호
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• pp.85-93
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• 2006

We study the conditions under which a given intuitionistic fuzzy subgroup of a given group can or can not be realized as a union of two proper intuitionistic fuzzy subgroups. Moreover, we provide a simple necessary and sufficient condition for the union of an arbitrary family of intuitionistic fuzzy subgroups to be an intuitionistic fuzzy subgroup. Also we formulate the concept of intuitionistic fuzzy subgroup generated by a given intuitionistic fuzzy set by level subgroups. Furthermore we give characterizations of intuitionistic fuzzy conjugate subgroups and intuitionistic fuzzy characteristic subgroups by their level subgroups. Also we investigate the level subgroups of the homomorphic image of a given intuitionistic fuzzy subgroup.