⊤-Fuzzy Subgroups with Thresholds

2009 ◽  
pp. 92-100
Author(s):  
Bao Qing Hu ◽  
Yan Qing Niu
Keyword(s):  
Fuzzy Subgroups

Image development in the framework of ξ –complex fuzzy morphisms

2021 ◽  
pp. 1-13
Author(s):  
Aneeza Imtiaz ◽  
Umer Shuaib ◽  
Abdul Razaq ◽  
Muhammad Gulistan
Keyword(s):  
Decision Making ◽  
Comparative Analysis ◽  
Fuzzy Sets ◽  
Unit Disk ◽  
Homomorphic Image ◽  
Significant Role ◽  
Original Form ◽  
Mathematical Tool ◽  
Fuzzy Subgroups ◽  
Fundamental Theorems

The study of complex fuzzy sets defined over the meet operator (ξ –CFS) is a useful mathematical tool in which range of degrees is extended from [0, 1] to complex plane with unit disk. These particular complex fuzzy sets plays a significant role in solving various decision making problems as these particular sets are powerful extensions of classical fuzzy sets. In this paper, we define ξ –CFS and propose the notion of complex fuzzy subgroups defined over ξ –CFS (ξ –CFSG) along with their various fundamental algebraic characteristics. We extend the study of this idea by defining the concepts of ξ –complex fuzzy homomorphism and ξ –complex fuzzy isomorphism between any two ξ –complex fuzzy subgroups and establish fundamental theorems of ξ –complex fuzzy morphisms. In addition, we effectively apply the idea of ξ –complex fuzzy homomorphism to refine the corrupted homomorphic image by eliminating its distortions in order to obtain its original form. Moreover, to view the true advantage of ξ –complex fuzzy homomorphism, we present a comparative analysis with the existing knowledge of complex fuzzy homomorphism which enables us to choose this particular approach to solve many decision-making problems.

scholarly journals On Fundamental Theorems of t-Intuitionistic Fuzzy Isomorphism of t-Intuitionistic Fuzzy Subgroups

IEEE Access ◽  
2018 ◽  
Vol 6 ◽  
pp. 74547-74556 ◽  
Author(s):  
Laila Latif ◽  
Umer Shuaib ◽  
Hanan Alolaiyan ◽  
Abdul Razaq
Keyword(s):  
Intuitionistic Fuzzy ◽  
Fuzzy Subgroups ◽  
Fundamental Theorems

On product of fuzzy subgroups

1999 ◽  
Vol 105 (1) ◽  
pp. 181-183 ◽  
Author(s):  
Asok Kumer Ray
Keyword(s):  
Fuzzy Subgroups

Normality and congruence in fuzzy subgroups

1992 ◽  
Vol 59 (1-2) ◽  
pp. 121-129 ◽  
Author(s):  
B.B. Makamba ◽  
V. Murali
Keyword(s):  
Fuzzy Subgroups

Normal fuzzy subgroups and fuzzy normal series of finite groups

1995 ◽  
Vol 72 (3) ◽  
pp. 379-383 ◽  
Author(s):  
M. Atif Mishref
Keyword(s):  
Finite Groups ◽  
Normal Series ◽  
Fuzzy Subgroups

scholarly journals FUZZY SUBGROUPS BASED ON FUZZY POINTS

2011 ◽  
Vol 26 (3) ◽  
pp. 349-371 ◽  
Author(s):  
Young-Bae Jun ◽  
Min-Su Kang ◽  
Chul-Hwan Park
Keyword(s):  
Fuzzy Subgroups

scholarly journals Counting fuzzy subgroups of some finite groups by a new equivalence relation

Filomat ◽  
2019 ◽  
Vol 33 (19) ◽  
pp. 6151-6160
Author(s):  
Ardekani Kamali
Keyword(s):  
Group Theory ◽  
Finite Groups ◽  
Equivalence Relation ◽  
Theoretical Foundation ◽  
Dihedral Groups ◽  
Significant Aspect ◽  
Exact Number ◽  
Consistent Group ◽  
Fuzzy Subgroups

The study concerning the classification of the fuzzy subgroups of finite groups is a significant aspect of fuzzy group theory. In early papers, the number of distinct fuzzy subgroups of some nonabelian groups is calculated by the natural equivalence relation. In this paper, we treat to classifying fuzzy subgroups of some groups by a new equivalence relation which has a consistent group theoretical foundation. In fact, we determine exact number of fuzzy subgroups of finite non-abelian groups of order p3 and special classes of dihedral groups.

scholarly journals Some results on χ-single valued neutrosophic subgroups

2021 ◽  
Vol 23 (3) ◽  
pp. 1583
Author(s):  
M. Shazib Hameed ◽  
Zaheer Ahmad ◽  
Salman Mukhtar ◽  
Asad Ullah
Keyword(s):  
Fuzzy Set ◽  
Intuitionistic Fuzzy Set ◽  
Vital Role ◽  
Neutrosophic Set ◽  
Pythagorean Fuzzy Set ◽  
Intuitionistic Fuzzy ◽  
Novel Structure ◽  
Fuzzy Subgroups

<p>In this study, we develop a novel structure χ-single valued neutrosophic set, which is a generalization of the intuitionistic set, inconsistent intuitionistic fuzzy set, Pythagorean fuzzy set, spherical fuzzy set, paraconsistent set, etc. Fuzzy subgroups play a vital role in vagueness structure, it differ from regular subgroups in that it is impossible to determine which group elements belong and which do not. In this paper, we investigate the concept of a χ-single valued neutrosophic set and χ-single valued neutrosophic subgroups. We explore the idea of χ-single valued neutrosophic set on fuzzy subgroups and several characterizations related to χ-single valued neutrosophic subgroups are suggested.</p>

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