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Enhancement of Capacitated Transportation Problem in Fuzzy Environment.

Authors :
Abd El-Wahed Khalifa, Hamiden
Kumar, Pavan
Alharbi, Majed G.
Source :
Advances in Fuzzy Systems; 10/1/2020, p1-9, 9p
Publication Year :
2020

Abstract

This research work aims to study a capacitated transportation problem (CTP) with penalty cost, supplies, and demands represented by hexagonal fuzzy numbers. Based on ranking function, the supplies and demands are converted to the crisp form. Through the use of the α ‐ level, the problem is converted into interval linear programming. To optimize the interval objective function, we define the order relations represented by policy maker's choice between intervals. The maximization (minimization) problem considering the interval objective function is transformed to multiobjective optimization problem based on order relations introduced by the preference of policy makers between interval profits (costs). A numerical example is given for illustration and to check the validity of the suggested approach. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
16877101
Database :
Complementary Index
Journal :
Advances in Fuzzy Systems
Publication Type :
Academic Journal
Accession number :
146190797
Full Text :
https://doi.org/10.1155/2020/8893976