Open AccessSolving fuzzy linear matrix equation
Author(s) -
Dequan Shang,
Guo Xiao
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1592/1/012051
Subject(s) - mathematics , fuzzy logic , matrix (chemical analysis) , fuzzy associative matrix , class (philosophy) , embedding , fuzzy number , algebra over a field , fuzzy set , computer science , pure mathematics , artificial intelligence , materials science , composite material
In this paper a class of fuzzy linear matrix equation AXB=C in which A and B are crisp matrices and C is a fuzzy numbers matrix, is investigated by using the embedding approach. A new matrix method for calculating the solution is designed in detail and a sufficient condition for the existence of strong fuzzy solution is derived. An example is given to illustrate our proposed method. Our result enriches the fuzzy linear systems theory.