Affiliations: [a]
College of Mathematics and Software Science, Sichuan Normal University, Chengdu, People’s Republic of China
| [b]
Department of Mathematics, College of Arts and Sciences, Shanghai Maritime University, Shanghai, People’s Republic of China
Correspondence:
[]
Corresponding author. Xue-ping Wang, College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, People’s Republic of China. Tel.: +86 28 84761393; Fax: +86 28 84761393; E-mail: [email protected].
Note: [1
] Supported by National Natural Science Foundation of China (No. 61573240).
Abstract: This paper describes a set of solution-set-invariant coefficient matrices of the fuzzy relation equation with max-min composition A ⊙ x = b or
⋁j∈{1,2,⋯,n}(aij∧xj)=biforalli∈{1,2,⋯,m}
with
1≥b1≥b2≥⋯≥bm>0.
An algorithm is given for determining the set scripfontA = {B ∣ {x ∣ B ⊙ x = b} = {x ∣ A ⊙ x = b}} completely.
