2025/12/3
Mir Sajjad Hashemi

Mir Sajjad Hashemi

Academic rank: Professor
ORCID: 0000-0002-5529-3125
Education: PhD.
H-Index:
Faculty: Faculty of Basic Sciences
ScholarId: View
E-mail: hashemi [at] ubonab.ac.ir
ScopusId:
Phone: 04137745000-1641
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Research

Title
SOLVING FUZZY LINEAR SYSTEMS BY USING THE SCHUR COMPLEMENT WHEN COEFFICIENT MATRIX IS AN M-MATRIX
Type
JournalPaper
Keywords
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Year
2008
Journal Iranian Journal of Fuzzy Systems
DOI
Researchers Mir Sajjad Hashemi ، MK Mirnia ، Sedaghat Shahmorad

Abstract

Abstract. This paper analyzes a linear system of equations when the righthand side is a fuzzy vector and the coefficient matrix is a crisp M-matrix. The fuzzy linear system (FLS) is converted to the equivalent crisp system with coefficient matrix of dimension 2n × 2n. However, solving this crisp system is difficult for large n because of dimensionality problems . It is shown that this difficulty may be avoided by computing the inverse of an n × n matrix instead of Z−1 .