{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,14]],"date-time":"2026-04-14T18:38:47Z","timestamp":1776191927854,"version":"3.50.1"},"reference-count":32,"publisher":"World Scientific Pub Co Pte Lt","issue":"05","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Unc. Fuzz. Knowl. Based Syst."],"published-print":{"date-parts":[[2008,10]]},"abstract":"<jats:p> Fuzzy mathematics is a generalization in which fuzzy numbers replace real numbers and fuzzy arithmetic replaces real arithmetic. It is an excellent scope for modeling vague and uncertain aspects of the actual environments. In this important area, Dubois and Prade<jats:sup>1<\/jats:sup> defined a fuzzy matrix as a rectangular array of fuzzy numbers. They have also defined the LR type fuzzy numbers with some useful approximate arithmetic operators. The aim of this paper is to extend some useful aspects of linear algebra e.g. determinant, norm and eigenvalue for fuzzy matrices with LR fuzzy number entries by the use of fuzzy arithmetic. Finally, applications in fuzzy analytical hierarchy process (AHP) are investigated. <\/jats:p>","DOI":"10.1142\/s0218488508005583","type":"journal-article","created":{"date-parts":[[2008,11,10]],"date-time":"2008-11-10T03:53:14Z","timestamp":1226289194000},"page":"715-733","source":"Crossref","is-referenced-by-count":9,"title":["SOME COMPUTATIONS ON FUZZY MATRICES: AN APPLICATION IN FUZZY ANALYTICAL HIERARCHY PROCESS"],"prefix":"10.1142","volume":"16","author":[{"given":"MEHDI","family":"DEHGHAN","sequence":"first","affiliation":[{"name":"Department of Applied Mathematics, Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology, No. 424, Hafez Ave, Tehran, Iran"}]},{"given":"MEHDI","family":"GHATEE","sequence":"additional","affiliation":[{"name":"Department of Computer Science, Amirkabir University of Technology, Tehran, Iran"}]},{"given":"BEHNAM","family":"HASHEMI","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics, Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology, No. 424, Hafez Ave, Tehran, Iran"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"reference":[{"key":"rf1","volume-title":"Fuzzy Sets and Systems: Theory and Applications","author":"Dubois D.","year":"1980"},{"key":"rf2","first-page":"291","volume":"56","author":"Cho H. 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