An Interactive Approach for Solving the Multiobjective Minimum Cost Flow Problem in the Fuzzy Environment
Joint Authors
Alharbi, Majed G.
Khalifa, Hamiden Abd El-Wahed
Ammar, E. E.
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-11-17
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
This paper deals with the multiobjective minimum cost flow (F-MOMCF) with fuzzy penalty characterized by trapezoidal fuzzy numbers.
Through the use of α-cut, the F-MOMCF problem is transformed into the α-MOMCF problem.
The α-MOMCF problem can be solved using an interactive approach combined with the weighting Tchebycheff problem.
The advantages of this method are that it elicits information from the decision maker (DM) to modify the given constraint set, it gives the optimum penalty, and the effort required for obtaining the solution is reduced.
The stability set of the first kind related to the α-best compromise solution is determined.
A numerical example is given for illustration and to check the validity of the approach.
American Psychological Association (APA)
Alharbi, Majed G.& Khalifa, Hamiden Abd El-Wahed& Ammar, E. E.. 2020. An Interactive Approach for Solving the Multiobjective Minimum Cost Flow Problem in the Fuzzy Environment. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1188097
Modern Language Association (MLA)
Alharbi, Majed G.…[et al.]. An Interactive Approach for Solving the Multiobjective Minimum Cost Flow Problem in the Fuzzy Environment. Journal of Mathematics No. 2020 (2020), pp.1-7.
https://search.emarefa.net/detail/BIM-1188097
American Medical Association (AMA)
Alharbi, Majed G.& Khalifa, Hamiden Abd El-Wahed& Ammar, E. E.. An Interactive Approach for Solving the Multiobjective Minimum Cost Flow Problem in the Fuzzy Environment. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1188097
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1188097