Paper Info
Title
Image Development In The Framework Of Xi - Complex Fuzzy Morphisms
Abstract
The study of complex fuzzy sets defined over the meet operator (xi - 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 xi - CFS and propose the notion of complex fuzzy subgroups defined over xi - CFS (xi - CFSG) along with their various fundamental algebraic characteristics. We extend the study of this idea by defining the concepts of xi - complex fuzzy homomorphism and xi - complex fuzzy isomorphism between any two xi - complex fuzzy subgroups and establish fundamental theorems of xi - complex fuzzy morphisms. In addition, we effectively apply the idea of xi - 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 xi - 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.
Year
DOI
Venue
2021
10.3233/JIFS-201261
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
Keywords
DocType
Volume
xi - complex fuzzy sets (xi - CFS), xi - complex fuzzy subgroups (xi - CFSG), xi - complex fuzzy normal subgroups (xi - CFNSG), xi - complex fuzzy homomorphism, xi - complex fuzzy isomorphism
Journal
40
Issue
ISSN
Citations 
3
1064-1246
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Aneeza Imtiaz100.34
Umer Shuaib201.35
Abdul Razaq300.68
Muhammad Gulistan4287.63