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

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...

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Bibliographic Details
Published inApplied mathematical modelling Vol. 36; no. 11; pp. 5360 - 5379
Main Authors Allahviranloo, T., Ghanbari, M.
Format Journal Article
LanguageEnglish
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
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Summary: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 derived for obtaining the unique algebraic solution. Numerical examples are given to illustrate the efficiency of the proposed method.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0307-904X
DOI:10.1016/j.apm.2012.01.002