Author:
Chen Fanhong,Han Yuanliang,Shao Zejun
Abstract
AbstractIn this text, our work focuses on fuzzy linear systems where the number of rows and columns of the left correlation coefficient matrix are not equal. A method to handle a wider range of these systems is introduced by our selected more general definition of fuzzy values. Different expressions for the result are obtained based on generalized inverses for different types of the left-hand side expanded matrix. Finally, we verified our method with five cases where the fuzzy values were defined in a more general range. These cases show that the method is simple and effective whether the equations are consistent or not.
Subject
Computer Science Applications,History,Education
Reference28 articles.
1. Effect algebras and unsharp quantum logics;Foulis;Found. Phys.,1994
2. Minimal solution of general dual fuzzy linear systems;Abbasbandy;Chaos Solitons Fractals,2008
3. Numerical methods for fuzzy system of linear equations;Allahviranloo;Appl.Math. Comput.,2004
4. Statistically monotonic and statistically bounded sequences of fuzzy numbers;Aytar;Inf.Sci.,2006