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

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 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>

scholarly journals Algebraic Characteristics of Anti-Intuitionistic Fuzzy Subgroups Over a Certain Averaging Operator

IEEE Access ◽  
2020 ◽  
Vol 8 ◽  
pp. 205014-205021
Author(s):  
Dilshad Alghazzawi ◽  
Umer Shuaib ◽  
Tazeem Fatima ◽  
Abdul Razaq ◽  
Muhammad Ahsan Binyamin
Keyword(s):  
Intuitionistic Fuzzy ◽  
Averaging Operator ◽  
Fuzzy Subgroups

scholarly journals Intuitionistic Fuzzy Subgroups and Level Subgroups

2006 ◽  
Vol 6 (3) ◽  
pp. 240-246
Author(s):  
Tae-Chon Ahn ◽  
Kul Hur ◽  
Kyung-Won Jang
Keyword(s):  
Intuitionistic Fuzzy ◽  
Fuzzy Subgroups

scholarly journals t-Intuitionistic Fuzzy Subgroups and Subrings

2003 ◽  
Vol 13 (5) ◽  
pp. 627-634 ◽  
Author(s):  
Kul Hur ◽  
Jang-Hyun Ryou ◽  
Hyeong-Kee Song
Keyword(s):  
Intuitionistic Fuzzy ◽  
Fuzzy Subgroups

Product of Implication-Based Intuitionistic Fuzzy Semiautomatons over Finite Groups

2019 ◽  
Vol 15 (03) ◽  
pp. 503-515 ◽  
Author(s):  
M. Selvarathi
Keyword(s):  
Finite Group ◽  
Normal Subgroup ◽  
Direct Product ◽  
Finite Groups ◽  
Fundamental Properties ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Subgroup ◽  
Fuzzy Subgroups ◽  
A Finite Group

In this paper, Implication-based intuitionistic fuzzy semiautomaton (IB-IFSA) of a finite group is defined and investigated. The theory of an implication-based intuitionistic fuzzy kernel and implication-based intuitionistic fuzzy subsemiautomaton of an IB-IFSA over a finite group are formulated using the approach of implication-based intuitionistic fuzzy subgroup and implication-based intuitionistic fuzzy normal subgroup. The product of implication-based intuitionistic fuzzy subgroups is postulated and investigated. Further, direct product of implication-based intuitionistic fuzzy semiautomatons over the finite groups is elaborately studied. Fundamental properties concerning them are also dealt with.

scholarly journals On the definition of the intuitionistic fuzzy subgroups

2010 ◽  
Vol 59 (9) ◽  
pp. 3117-3129 ◽  
Author(s):  
Xue-hai Yuan ◽  
Hong-xing Li ◽  
E. Stanley Lee
Keyword(s):  
Intuitionistic Fuzzy ◽  
Definition Of ◽  
Fuzzy Subgroups

Introduction to Plithogenic Subgroup

2020 ◽  
pp. 213-259 ◽  
Author(s):  
Sudipta Gayen ◽  
Florentin Smarandache ◽  
Sripati Jha ◽  
Manoranjan Kumar Singh ◽  
Said Broumi ◽  
...  
Keyword(s):  
Algebraic Structures ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Subgroup ◽  
Fuzzy Subgroups

This chapter gives some essential scopes to study some plithogenic algebraic structures. Here the notion of plithogenic subgroup has been introduced and explored. It has been shown that subgroups defined earlier in the crisp, fuzzy, intuitionistic fuzzy, as well as neutrosophic environments, can also be represented as plithogenic fuzzy subgroups. Furthermore, introducing function in plithogenic setting, some homomorphic characteristics of plithogenic fuzzy subgroup have been studied. Also, the notions of plithogenic intuitionistic fuzzy subgroup, plithogenic neutrosophic subgroup have been introduced and their homomorphic characteristics have been analyzed.

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