Solving Fully Fuzzy Transportation Problem with n-Polygonal Fuzzy Numbers
Authors
Prof. Mahmoud Alrefaei, Jordan University of Science and Technology, Irbid, Jordan Ms. Noor H. Ibrahim, Jordan University of Science and Technology, Irbid, Jordan Mrs. Marwa Tuffaha, Jordan University of Science and Technology, Irbid, Jordan
Abstract
Recently, the interest in fuzzy transportation problems, where the variables, costs, supply and/or demands are vague and unclear, is increasing. In this paper, we propose a solution method for a general fully fuzzy transportation problem (FFTP), where fuzziness is represented by n-polygonal fuzzy number. The proposed method consists of two phases, Phase I is used to find a fuzzy initial basic feasible solution using a modified fuzzy version of the north-west corner method. Phase II is used to find an optimal solution starting from the initial solution found in the phase I, using an extension of the modified distribution method to deal with fuzzy numbers. Finally, a numerical example is given and solved by the proposed method, and compared with an existing method. The numerical results indicate that the proposed method gives more realistic solutions to the FFTP.
Track
IEEM: Industrial Engineering and Engineering Management
Conference
1st International Conference on Mechanical Engineering and Technologies (MechaniTek 2020)
Congress
International Congress on Engineering Technologies (EngiTek 2020), 16-18 June 2020, Irbid, Jordan
Pages
--1
Topics
Intelligent Systems Operations Research
ISSN
2227-331X
DOI
BibTeX
@inproceedings{1126EngiTek2020,
title={Solving Fully Fuzzy Transportation Problem with n-Polygonal Fuzzy Numbers},
author={Mahmoud Alrefaei, and Noor H. Ibrahim, and Marwa Tuffaha},
booktitle={International Congress on Engineering Technologies (EngiTek 2020)},
year={2020},
pages={--1},
doi={}},
organization={Mosharaka for Research and Studies}
}