A multi-objective transportation model under neutrosophic environment

In this paper, a new compromise algorithm for multi-objective transportation problem (MO-TP) is developed, which is inspired by Zimmermann's fuzzy programming and the neutrosophic set terminology. The proposed NCPA is characterized by assigning three membership functions for each objective name...

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Bibliographic Details
Published in:Computers & electrical engineering 2018-07, Vol.69, p.705-719
Main Authors: Rizk-Allah, Rizk M., Hassanien, Aboul Ella, Elhoseny, Mohamed
Format: Article
Language:English
Subjects:
Algorithms
Compromise solution
Fuzzy logic
Fuzzy sets
Multi-objective
Multiple criteria decision making
Multiple objective analysis
Neutrosophic set
TOPSIS
Transportation
Transportation problem
Zimmermann's fuzzy programming
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Summary:In this paper, a new compromise algorithm for multi-objective transportation problem (MO-TP) is developed, which is inspired by Zimmermann's fuzzy programming and the neutrosophic set terminology. The proposed NCPA is characterized by assigning three membership functions for each objective namely, truth membership, indeterminacy membership and falsity membership. With the membership functions for all objectives, a neutrosophic compromise programming model is constructed with the aim to find best compromise solution (BCS). This model can cover a wide spectrum of BCSs by controlling the membership functions interactively. The performance of the NCPA is validated by measuring the ranking degree using TOPSIS approach. Illustrative examples are reported and compared with exists models in the literature. Based on the provided comparisons, NCPA is superior to fuzzy and different approaches.
ISSN:0045-7906
1879-0755
DOI:10.1016/j.compeleceng.2018.02.024