Enhancement of Capacitated Transportation Problem in Fuzzy Environment

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 i...

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Bibliographic Details
Main Authors: Hamiden Abd El-Wahed Khalifa, Pavan Kumar, Majed G. Alharbi
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Advances in Fuzzy Systems
Online Access:http://dx.doi.org/10.1155/2020/8893976
Description
Summary: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.
ISSN:1687-7101
1687-711X