Journal of the Indonesian Mathematical Society
Volume 17 Number 1 (April 2011)

SYSTEMS OF FUZZY NUMBER MAX-PLUS LINEAR EQUATIONS

Rudhito, M. Andy (Unknown)
Wahyuni, Sri (Unknown)
Suparwanto, Ari (Unknown)
Susilo, Frans (Unknown)



Article Info

Publish Date
13 Feb 2011

Abstract

This paper discusses the solution of systems of fuzzy number max-plus linear equations through the greatest fuzzy number subsolution of the system. We show that if entries of each column of the coecient matrix are not equal to infinite, the system has the greatest fuzzy number subsolution. The greatest fuzzy number subsolution of the system could be determined by first finding the greatest interval subsolution of the alpha-cuts of the system and then modifying it if needed, such that each its components is a family of alpha-cut of a fuzzy number. Then, based on the Decomposition Theorem on Fuzzy Set, we can determine the membership function of the elements of greatest subsolution of the system. If the greatest subsolution satisfies the system then it is a solution of the system.DOI : http://dx.doi.org/10.22342/jims.17.1.10.17-28

Copyrights © 2011






Journal Info

Abbrev

JIMS

Publisher

Subject

Mathematics

Description

Journal of the Indonesian Mathematical Society disseminates new research results in all areas of mathematics and their applications. Besides research articles, the journal also receives survey papers that stimulate research in mathematics and their ...