Solving of Fuzzy Transportation Problem Using Fuzzy Analytical Hierarchy Process (AHP)

DOI

10.2991/assehr.k.201010.003How to use a DOI?

Keywords

fuzzy numbers, fuzzy transportation problem, fuzzy transportation algorithm, AHP

Abstract

Based on research related to solve fuzzy transportation problems that had been proposed and discussed by researchers, it could be concluded that the ranking function is widely used to order fuzzy numbers or convert fuzzy numbers to crisp numbers. The ordering process can indeed make it easier to run the Fuzzy Transportation Algorithm (FTA), but from the convenience it causes failed in interpreting the results of ordering fuzzy numbers. This is because the ordering process of fuzzy numbers still has subjectivity values that cannot be completely eliminated, moreover the ordering can cause incompatible input and output fuzzy numbers resulted. On the other hand, one of the FTA that is often used in solving FTP is LC method which selects the least distribution cost in the FTA table to be used as a base cell. If there is a distribution cost with the equal value, then it is freely chosen. However, free choice will affect the resulted of fuzzy optimal solution. Therefore, the fuzzy LCM as new method is proposed by fuzzy Analytical Hierarchy Process (AHP) to order fuzzy parameters on FTP without converting fuzzy numbers to crisp numbers, then the LC method is used to find IFBS and MODI method to determine the optimal fuzzy solution. To illustrate the new proposed method, the completion of numerical examples is given and the results are reviewed with the results of the existing method. The advantages of the new proposed method can improve the shortcomings of the existing methods, as well as relevant to solving fuzzy transport problems in real life for use by decision makers.

Copyright

© 2020, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Farikhin
AU  - Muhammad Sam’an
AU  - Bayu Surarso
AU  - Bambang Irwanto
PY  - 2020
DA  - 2020/10/11
TI  - Solving of Fuzzy Transportation Problem Using Fuzzy Analytical Hierarchy Process (AHP)
BT  - Proceedings of the 2nd International Seminar on Science and Technology (ISSTEC 2019)
PB  - Atlantis Press
SP  - 10
EP  - 15
SN  - 2352-5398
UR  - https://doi.org/10.2991/assehr.k.201010.003
DO  - 10.2991/assehr.k.201010.003
ID  - 2020
ER  -