Paper Info
Title
On fuzzy linear projection equation and applications
Abstract
This paper introduces the concept of fuzzy projection of a fuzzy number on a set of fuzzy numbers based on r-cut approach. It is proved that the projection of a fuzzy number on the set of all fuzzy numbers is itself and under a special metric, the proposed fuzzy projection is a non-expansive mapping. By using this definition, the concept of fuzzy linear projection equation is defined and to solve it, a numerical method is applied. Based on the proposed algorithm and as an important application, two different types of system of fuzzy linear equations with fuzzy variables are solved. Numerical results illustrate the applicabilities of proposed approach.
Year
DOI
Venue
2016
10.1007/s10700-015-9222-8
FO & DM
Keywords
Field
DocType
System of fuzzy linear equations,Korpelevich method,Fuzzy projection,Fuzzy linear projection equation
Discrete mathematics,Mathematical optimization,Defuzzification,Fuzzy classification,Fuzzy set operations,Fuzzy logic,Fuzzy mathematics,Fuzzy subalgebra,Fuzzy associative matrix,Fuzzy number,Mathematics
Journal
Volume
Issue
ISSN
15
2
1568-4539
Citations 
PageRank 
References 
0
0.34
14
Authors
2
Name
Order
Citations
PageRank
Morteza Pakdaman1998.29
Effati Sohrab227630.31