Results 11 to 20 of about 18,119 (240)
A Study of Normal Fuzzy Subgroups and Characteristic Fuzzy Subgroups of a Fuzzy Group [PDF]
Fuzzy Information and Engineering, 2012 \textit{A. Rosenfeld} [in J. Math. Anal. Appl. 35, 512-517 (1971; Zbl 0194.05501)] initiated the study of fuzzy group theory by introducing the concepts of fuzzy subgroupoids and fuzzy subgroups. Then, several authors studied the notion of fuzzy normal subgroups.
Ajmal, Naseem, Jahan, Iffat
openaire +3 more sources
On some algebraic aspects of η-intuitionistic fuzzy subgroups
Journal of Taibah University for Science, 2020 In this study, we presents the idea of $\eta $-intuitionistic fuzzy subgroup (IFSG) defined on $\eta $-intuitionistic fuzzy set (IFS). Furthermore, we prove that every IFSG is an $\eta $-IFSG.
Umer Shuaib +4 more
doaj +2 more sources
On Fundamental Theorems of t-Intuitionistic Fuzzy Isomorphism of t-Intuitionistic Fuzzy Subgroups
IEEE Access, 2018 In this paper, we define the concept of the support of t-intuitionistic fuzzy set and prove that it forms a normal subgroup of a given group. We establish a relationship about the normality of any two t-intuitionistic fuzzy subgroups of a group.
Laila Latif +3 more
doaj +3 more sources
Interval-valued Fuzzy Normal Subgroups
International Journal of Fuzzy Logic and Intelligent Systems, 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.
Su-Yeon Jang, Kul Hur, Pyung-Ki Lim
openaire +3 more sources
A Comprehensive Study on Pythagorean Fuzzy Normal Subgroups and Pythagorean Fuzzy Isomorphisms
Symmetry, 2022 The Pythagorean fuzzy set is an extension of the intuitionistic fuzzy set used to handle uncertain circumstances in various decisions making problems. Group theory is a mathematical technique for dealing with problems of symmetry. This study deals with Pythagorean fuzzy group theory.
Abdul Razaq +3 more
openaire +3 more sources
A Novel Algebraic Structure of (α,β)-Complex Fuzzy Subgroups
Entropy, 2021 A complex fuzzy set is a vigorous framework to characterize novel machine learning algorithms. This set is more suitable and flexible compared to fuzzy sets, intuitionistic fuzzy sets, and bipolar fuzzy sets.
Hanan Alolaiyan +4 more
doaj +1 more source
Aggregating fuzzy subgroups and T-vague groups [PDF]
, 2018 Fuzzy subgroups and T-vague groups are interesting fuzzy algebraic structures that have been widely studied. While fuzzy subgroups fuzzify the concept of crisp subgroup, T-vague groups can be identified with quotient groups of a group by a normal fuzzy ...
Boixader Ibáñez, Dionís +2 more
core +2 more sources
The Intuitionistic Fuzzy Normal Subgroup [PDF]
International Journal of Fuzzy Logic and Intelligent Systems, 2010 In this paper we continue the study of intuitionistic fuzzy groups by introducing the notion of intuitionistic fuzzy normal subgroup based on intuitionistic fuzzy space as a generalization of fuzzy normal subgroup.
Mohammed F. Marashdeh +1 more
openaire +1 more source
, 2006 This book has four chapters. Chapter one is introductory in nature, for it recalls some basic definitions essential to make the book a self-contained one.
Kandasamy, W. B. Vasantha +1 more
core +3 more sources
INTUITIONISTIC FUZZY NORMAL SUBGROUP AND INTUITIONISTIC FUZZY ⊙-CONGRUENCES [PDF]
International Journal of Fuzzy Logic and Intelligent Systems, 2009 We unite the two con concepts - normality We unite the two con concepts - normality and congruence - in an intuitionistic fuzzy subgroup setting. In particular, we prove that every intuitionistic fuzzy congruence determines an intuitionistic fuzzy subgroup.
Kul Hur, So-Ra Kim, Pyung-Ki Lim
openaire +1 more source