ACADSTAFF UGM

CREATION
Title : SYSTEMS OF FUZZY NUMBER MAX-PLUS LINEAR EQUATIONS
Author :

M. Andy Rudhito (1) Prof. Dr. Sri Wahyuni, S.U. (2) Dr.rer.nat. Ari Suparwanto, M.Si. (3) Frans Susilo (4)

Date : 0 2011
Keyword : Max-Plus algebra ,system of linear equations ,Fuzzy Numbers Max-Plus algebra ,system of linear equations ,Fuzzy Numbers
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.
Group of Knowledge : Matematika
Original Language : English
Level : Nasional
Status :
Published
Document
No Title Document Type Action
1 SYSTEMS OF FUZZY NUMBER MAX-PLUS LINEAR EQUATIONS.pdf
Document Type : [PAK] Cek Similarity
[PAK] Cek Similarity View
2 Dokumen-Lengkap-SYSTEMS OF FUZZY NUMBER MAX-PLUS LINEAR EQUATIONS.pdf
Document Type : [PAK] Full Dokumen
[PAK] Full Dokumen View
3 WoS-SYSTEMS OF FUZZY NUMBER MAX-PLUS LINEAR EQUATIONS.pdf
Document Type : Dokumen Pendukung Karya Ilmiah (Hibah, Publikasi, Penelitian, Pengabdian)
Dokumen Pendukung Karya Ilmiah (Hibah, Publikasi, Penelitian, Pengabdian) View
4 SYSTEMS OF FUZZY NUMBER MAX-PLUS LINEAR EQUATIONS.pdf
Document Type : [PAK] Full Dokumen
[PAK] Full Dokumen View