On the algebraic solution of fuzzy linear systems based on interval theory

• Published in: Applied mathematical modelling Vol. 36; no. 11; pp. 5360 - 5379
• Main Authors: Allahviranloo, T., Ghanbari, M.
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 01.11.2012
• Subjects: Algebra; Algebraic solution; Crisps; Fuzzy; Fuzzy linear system; Fuzzy logic; Fuzzy number; Fuzzy set theory; Interval inclusion linear system; Interval linear system; Interval number; Intervals; Linear systems; Mathematical models; Interval linear system; Interval inclusion linear system; Algebraic solution; Fuzzy number; Fuzzy linear system; Interval number

In this paper, fuzzy linear systems involving a crisp square matrix and a fuzzy right-hand side vector are considered. A new approach to solve such systems based on interval theory and the new concept “interval inclusion linear system” is proposed. Also, new necessary and sufficient conditions are d...