• Journal of applied mathematics & informatics
• /
• 제18권1_2호
• /
• pp.665-677
• /
• 2005

The notion of normal intuitionistic fuzzy R-subgroups in near-rings is introduced, and related properties are investigated. Characterization of an intuitionistic fuzzy R-subgroup is given. Using a collection of right R-subgroups, an intuitionistic fuzzy right R-subgroup is established. Using a chain of right R-subgroups, an intuitionistic fuzzy right R-subgroup is also established.

• 대한수학회논문집
• /
• 제26권3호
• /
• pp.349-371
• /
• 2011

Using the "belongs to" relation and "quasi-coincident with" relation between a fuzzy point and a fuzzy subgroup, Bhakat and Das, in 1992 and 1996, initiated general types of fuzzy subgroups which are a generalization of Rosenfeld's fuzzy subgroups. In this paper, more general notions of "belongs to" and "quasi-coincident with" relation between a fuzzy point and a fuzzy set are provided, and more general formulations of general types of fuzzy (normal) subgroups by Bhakat and Das are discussed. Furthermore, general type of coset is introduced, and related fundamental properties are investigated.

• Journal of applied mathematics & informatics
• /
• 제5권1호
• /
• pp.181-190
• /
• 1998

In this paper we define the concept of anti fuzzy $H_v$-subgroup of an $H_v$ -group and prove a few theorems concerning this concept. We also obtain a necessary and sufficient condition for a fuzzy subset of an $H_v$-group to be an anti fuzzy $H_v$ -subgroup. We also abtain a relation between the fuzzy $H_v$-subgroups and the and the anti fuzzy $H_v$-subgroup.

• 호남수학학술지
• /
• 제35권3호
• /
• pp.525-540
• /
• 2013

We introduce the concept of level subgroups of an interval-valued fuzzy subgroup and study some of its properties. These level subgroups in turn play an important role in the characterization of all interval-valued fuzzy subgroup of a prime cyclic group.

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

• 호남수학학술지
• /
• 제40권3호
• /
• pp.457-486
• /
• 2018

In several fields the soft set theory has a very vast range uses and applications. A soft group is a proper family of subgroups and a fuzzy soft group is a proper family of fuzzy subgroups. Here in this paper the concept of lattice ordered fuzzy soft groups is introduced. Also its some properties are studied and discussed. In addition, the defintion of lattice order fuzzy soft right (left) cosets and lattice order soft product of fuzzy soft subgroups and some related results are discussed to clear these ideas.

• 한국지능시스템학회:학술대회논문집
• /
• 한국퍼지및지능시스템학회 2004년도 춘계학술대회 학술발표 논문집 제14권 제1호
• /
• pp.389-393
• /
• 2004

In this paper, we introduce the concept of level subgroups of an intuitionistic fuzzy subgroup, and study some properties of level subgroups in the first part of the paper. These level subgroups in turn play an important role in the characterization of all intuitionistic fuzzy subgroups of a prime cyclic group.

• International Journal of Fuzzy Logic and Intelligent Systems
• /
• 제14권2호
• /
• pp.154-161
• /
• 2014

We discuss some interesting sublattices of interval-valued fuzzy subgroups. In our main result, we consider the set of all interval-valued fuzzy normal subgroups with finite range that attain the same value at the identity element of the group. We then prove that this set forms a modular sublattice of the lattice of interval-valued fuzzy subgroups. In fact, this is an interval-valued fuzzy version of a well-known result from classical lattice theory. Finally, we employ a lattice diagram to exhibit the interrelationship among these sublattices.

• 한국지능시스템학회:학술대회논문집
• /
• 한국퍼지및지능시스템학회 1995년도 추계학술대회 학술발표 논문집
• /
• pp.384-385
• /
• 1995

We study fuzzy symmetric subgroups and obtain some properties of fuzzy symmetric subgroups of symmetric groups.

• 호남수학학술지
• /
• 제25권1호
• /
• pp.19-41
• /
• 2003

In this paper, we introduce the concepts of intuitionistic fuzzy subgroups and intuitionistic fuzzy subrings and investigated some of their properties.