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Minimal solution of singular LR fuzzy linear systems

Nikuie M 1 , Ahmad MZ 2

Affiliations 

  • 1 Sama Technical and Vocational Training College, Islamic Azad University, Urmia Branch, Urmia, Iran
  • 2 Institute of Engineering Mathematics, Universiti Malaysia Perlis, Pauh Putra Main Campus, 02600 Arau, Perlis, Malaysia
ScientificWorldJournal, 2014;2014:517218.
PMID: 24737977 DOI: 10.1155/2014/517218

Abstract

In this paper, the singular LR fuzzy linear system is introduced. Such systems are divided into two parts: singular consistent LR fuzzy linear systems and singular inconsistent LR fuzzy linear systems. The capability of the generalized inverses such as Drazin inverse, pseudoinverse, and {1}-inverse in finding minimal solution of singular consistent LR fuzzy linear systems is investigated.

* Title and MeSH Headings from MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine.

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