SYSTEMS OF FUZZY NUMBER MAX-PLUS LINEAR EQUATIONS

被引：0

作者：

Rudhito, M. ^{[1
]}

Wahyuni, Sri ^{[1
]}

Suparwanto, Ari ^{[1
]}

Susilo, Frans ^{[2
]}

机构：

[1] Gadjah Mada Univ, Dept Math, Yogyakarta, Indonesia

[2] Gadjah Mada Univ, Dept Math, Yogyakarta, Indonesia

来源：

JOURNAL OF THE INDONESIAN MATHEMATICAL SOCIETY | 2011年 / 17卷 / 01期

关键词：

Max-Plus algebra; system of linear equations; fuzzy number;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 coefficient 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.

引用

页码：17 / 28

页数：12

共 13 条

[1]

Bacelli F., 2001, SYNCHRONIZATION LINE

[2] Critical path analysis in the network with fuzzy activity times [J].