Solving the Single-Valued Trapezoidal Neutrosophic Transportation Problems through the Novel Dhouib-Matrix-TP1 Heuristic
The transportation problem has been widely studied in the field of supply chain management where circulation of products with a minimal transportation cost is an important issue. This paper presents the first adaptation of the Dhouib-Matrix-TP1 heuristic to solve the transportation problem in single...
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2021
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oai:doaj.org-article:8e0d62b5ac58439f984a6b08362714372021-11-15T01:19:33ZSolving the Single-Valued Trapezoidal Neutrosophic Transportation Problems through the Novel Dhouib-Matrix-TP1 Heuristic1563-514710.1155/2021/3945808https://doaj.org/article/8e0d62b5ac58439f984a6b08362714372021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/3945808https://doaj.org/toc/1563-5147The transportation problem has been widely studied in the field of supply chain management where circulation of products with a minimal transportation cost is an important issue. This paper presents the first adaptation of the Dhouib-Matrix-TP1 heuristic to solve the transportation problem in single-valued trapezoidal neutrosophic environment. Hence, the recently developed Dhouib-Matrix-TP1 heuristic is enriched with two functions to solve the neutrosophic transportation problem. On the one hand, a defuzzification function is exploited in order to convert the single-valued trapezoidal neutrosophic numbers to crisp numbers. On the other hand, an original metric function (Average-Min) is proposed with the intention of performing the nodes selection process. With an illustration from a literature example, we show to the decision maker the multiple advantages of the novel heuristic Dhouib-Matrix-TP1 which can be easily implemented in real-life industrial transportation under neutrosophic environment.Souhail DhouibHindawi LimitedarticleEngineering (General). Civil engineering (General)TA1-2040MathematicsQA1-939ENMathematical Problems in Engineering, Vol 2021 (2021) |
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Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939 |
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Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939 Souhail Dhouib Solving the Single-Valued Trapezoidal Neutrosophic Transportation Problems through the Novel Dhouib-Matrix-TP1 Heuristic |
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The transportation problem has been widely studied in the field of supply chain management where circulation of products with a minimal transportation cost is an important issue. This paper presents the first adaptation of the Dhouib-Matrix-TP1 heuristic to solve the transportation problem in single-valued trapezoidal neutrosophic environment. Hence, the recently developed Dhouib-Matrix-TP1 heuristic is enriched with two functions to solve the neutrosophic transportation problem. On the one hand, a defuzzification function is exploited in order to convert the single-valued trapezoidal neutrosophic numbers to crisp numbers. On the other hand, an original metric function (Average-Min) is proposed with the intention of performing the nodes selection process. With an illustration from a literature example, we show to the decision maker the multiple advantages of the novel heuristic Dhouib-Matrix-TP1 which can be easily implemented in real-life industrial transportation under neutrosophic environment. |
format |
article |
author |
Souhail Dhouib |
author_facet |
Souhail Dhouib |
author_sort |
Souhail Dhouib |
title |
Solving the Single-Valued Trapezoidal Neutrosophic Transportation Problems through the Novel Dhouib-Matrix-TP1 Heuristic |
title_short |
Solving the Single-Valued Trapezoidal Neutrosophic Transportation Problems through the Novel Dhouib-Matrix-TP1 Heuristic |
title_full |
Solving the Single-Valued Trapezoidal Neutrosophic Transportation Problems through the Novel Dhouib-Matrix-TP1 Heuristic |
title_fullStr |
Solving the Single-Valued Trapezoidal Neutrosophic Transportation Problems through the Novel Dhouib-Matrix-TP1 Heuristic |
title_full_unstemmed |
Solving the Single-Valued Trapezoidal Neutrosophic Transportation Problems through the Novel Dhouib-Matrix-TP1 Heuristic |
title_sort |
solving the single-valued trapezoidal neutrosophic transportation problems through the novel dhouib-matrix-tp1 heuristic |
publisher |
Hindawi Limited |
publishDate |
2021 |
url |
https://doaj.org/article/8e0d62b5ac58439f984a6b0836271437 |
work_keys_str_mv |
AT souhaildhouib solvingthesinglevaluedtrapezoidalneutrosophictransportationproblemsthroughthenoveldhouibmatrixtp1heuristic |
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1718428935237140480 |