SYSTEMS OF FUZZY NUMBER MAX-PLUS LINEAR EQUATIONS
Abstract: This paper discusses
the solution of systems of fuzzy number max-plus linear equations through the
greatest fuzzy number subsolution of the system. Weshow 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 numbersubsolution of the
system could be determined by first finding the greatest intervalsubsolution of
the alpha-cuts of the system and then modifying it if needed, such thateach its
components is a family of alpha-cut of a fuzzy number. Then, based on theDecomposition
Theorem on Fuzzy Set, we can determine the membership functionof the elements
of greatest subsolution of the system. If the greatest subsolutionsatisfies the
system then it is a solution of the system.
Author: M. Andy Rudhito, Sri
Wahyuni, Ari Suparwanto and Frans Susilo
Journal Code: jpmatematikagg110019
