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A parametric neutrosophic model for the solid transportation problem

Ni Qiuping (Department of Economics and Business Administration, Yibin University, Yibin, China)
Tang Yuanxiang (Department of Artificial Intelligence and Big Data, Yibin University, Yibin, China)
Said Broumi (Faculty of Science Ben M’Sik, Hassan II University, Casablanca, Morocco)
Vakkas Uluçay (Department of Mathematics, Kilis 7 Aralık Üniversitesi, Kilis, Turkey)

Management Decision

ISSN: 0025-1747

Article publication date: 4 August 2022

Issue publication date: 16 March 2023




This research attempts to present a solid transportation problem (STP) mechanism in uncertain and indeterminate contexts, allowing decision makers to select their acceptance, indeterminacy and untruth levels.


Due to the lack of reliable information, changeable economic circumstances, uncontrolled factors and especially variable conditions of available resources to adapt to the real situations, the authors are faced with a kind of uncertainty and indeterminacy in constraints and the nature of the parameters of STP. Therefore, an approach based on neutrosophic logic is offered to make it more applicable to real-world circumstances. In this study, the triangular neutrosophic numbers (TNNs) have been utilized to represent demand, transportation capacity, accessibility and cost. Then, the neutrosophic STP was converted into an interval programming problem with the help of the variation degree concept. Then, two simple linear programming models were extracted to obtain the lower and upper bounds of the optimal solution.


The results reveal that the new model is not complicated but more flexible and more relevant to real-world issues. In addition, it is evident that the suggested algorithm is effective and allows decision makers to specify their acceptance, indeterminacy and falsehood thresholds.


Under the transportation literature, there are several solutions for TP and STP in crisp, fuzzy set (FS) and intuitionistic fuzzy set (IFS) conditions. However, the STP has never been explored in connection with neutrosophic sets to the best of the authors’ knowledge. So, this work tries to fill this gap by coming up with a new way to solve this model using NSs.



The study was funded by the Yibin University Pre-research Project, in which the research study is on the coupling and coordinated development of manufacturing and logistics industry under the background of intelligent manufacturing [2022YY00], and Sichuan Provincial Department of Education Water Transport Economic Research Center, in which the research study is on the development path and countermeasures of the advanced manufacturing industry in the Sanjiang New District of Yibin under a “dual circulation” development pattern [SYJJ2020A06].


Qiuping, N., Yuanxiang, T., Broumi, S. and Uluçay, V. (2023), "A parametric neutrosophic model for the solid transportation problem", Management Decision, Vol. 61 No. 2, pp. 421-442.



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