A multi-objective transportation model under neutrosophic environment

被引：103
|
作者：
Rizk-Allah, Rizk M. [1 ]
Hassanien, Aboul Ella [2 ]
Elhoseny, Mohamed [3 ]
机构：
[1] Menoufia Univ, Fac Engn, Shibin Al Kawm, Egypt
[2] Cairo Univ, Fac Comp & Informat, Cairo, Egypt
[3] Mansoura Univ, Fac Comp & Informat, Mansoura, Egypt
来源：
COMPUTERS & ELECTRICAL ENGINEERING | 2018年 / 69卷
关键词：
Neutrosophic set; TOPSIS; Transportation problem; Multi-objective; Compromise solution; Zimmermann's fuzzy programming;
D O I：
10.1016/j.compeleceng.2018.02.024
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
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. (C) 2018 Elsevier Ltd. All rights reserved.
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页码：705 / 719
页数：15
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