A fuzzy binary bi objective transportation model: Iranian steel supply network

Hannan Amoozad Mahdiraji, Moein Beheshti, Seyed Hossein Razavi Hajiagha, Edmundas Kazimieras Zavadskas

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)
19 Downloads (Pure)


Prominent influence of transportation costs on supply chain overall profit indicates the importance and emergence of transportation optimization models. Regarding this issue and in view of realistic situation consisting of non-de-terministic information, in this research optimizing inbound and outbound transportation costs of a multi echelon supply chain has been considered. To deal with uncertain time deliveries and pricing strategies adopted by different members of supply chain, in conjunction with unpredictable demand rate, fuzzy logic and specifically Trapezoidal Fuzzy Numbers (TrFNs) are included. After designing a fuzzy binary multi objective model based upon structural assumptions, the solving approach is proposed and the model is employed on Iranian steel supply network to illustrate the potential and advantages of our scheduled model. The bi-objective mixed integer fuzzy programming model presents and encompasses many realistic circumstances making the model applicable in network transportation cases.

Original languageEnglish
Pages (from-to)810-820
Number of pages11
Issue number3
Early online date1 Jul 2018
Publication statusPublished - 2 Oct 2018
Externally publishedYes

Bibliographical note

This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use,


  • Binary bi objective models
  • Fuzzy sets
  • Optimization
  • Supply network
  • Transportation problem

ASJC Scopus subject areas

  • Automotive Engineering
  • Mechanical Engineering


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