Anik Musfiroh
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PENYELESAIAN MASALAH LINTASAN TERPENDEK FUZZY DENGAN MENGGUNAKAN ALGORITMA CHUANG – KUNG DAN ALGORITMA FLOYD Anik Musfiroh; Lucia Ratnasari
Jurnal Matematika Vol 1, No 1 (2012): jurnal matematika
Publisher : MATEMATIKA FSM, UNDIP

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (669.611 KB)

Abstract

Abstract : In the classic graph, shortest path problem is related problem with determination of the which are connected in a graph that form the shortest distance between source node and the destination node. This idea is extended to solve the fuzzy shortest path problem. In this paper, will be discussed about Chuang - Kung algorithm and Floyd algorithm to solve shortest path problem. Chuang - Kung algorithm’s steps is to determine all pass possible path from source node to destination node, then compute value of similarity degree SLmin, Li with Lmin is the fuzzy shortest length and Li is length of possible path. While for Floyd algorithm, the first step is to determine the initial distance matrix D0 and the  matrix of the initial order S0 , then check this elements. If in matrix Dk element is dik+dkj<dij so dij replaced with Lmin dij, dik+dkj . Then replace elements matrix Sk with k . Changes sij in matrix Sk following to changes dij on matrix Dk .
PENYELESAIAN MASALAH LINTASAN TERPENDEK FUZZY DENGAN MENGGUNAKAN ALGORITMA CHUANG – KUNG DAN ALGORITMA FLOYD Anik Musfiroh
Jurnal Matematika volume 1, nomor 3, tahun 2012
Publisher : MATEMATIKA FSM, UNDIP

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (669.611 KB)

Abstract

Abstract : In the classic graph, shortest path problem is related problem with determination of the which are connected in a graph that form the shortest distance between source node and the destination node. This idea is extended to solve the fuzzy shortest path problem. In this paper, will be discussed about Chuang - Kung algorithm and Floyd algorithm to solve shortest path problem. Chuang - Kung algorithm’s steps is to determine all pass possible path from source node to destination node, then compute value of similarity degree SLmin, Li with Lmin is the fuzzy shortest length and Li is length of possible path. While for Floyd algorithm, the first step is to determine the initial distance matrix D0 and the  matrix of the initial order S0 , then check this elements. If in matrix Dk element is dik+dkj<dij so dij replaced with Lmin dij, dik+dkj . Then replace elements matrix Sk with k . Changes sij in matrix Sk following to changes dij on matrix Dk