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A multi-parametric approach for solid transportation problem with uncertainty fuzzy flexible conditions
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Seyed Hadi Nasseri    , Parastoo Niksefat Dogori , Gohar Shakouri |
| Department of Applied Mathematics, University of Mazandaran, Babolsar, Iran , nasseri@umz.ac.ir |
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Abstract: (650 Views) |
The most convenient models of Solid Transportation (ST) problems have been justly considered a kind of uncertainty in their parameters such as fuzzy, grey, stochastic, etc. and usually, they suggest solving the main problems by solving some crisp equivalent model/models based on their proposed approach such as using ranking functions, embedding problems etc. Furthermore, there exist some shortcomings in formulating the main model for the realistic situations, since it omitted the flexibility conditions in their studies. Hence, to overcome these shortages, we formulate these conditions for the mentioned these problems with fuzzy flexible constraints, where there are no exact predictions for the values of the resources. In particluar, numerical investigation shows that each increasing for the values of the supply and demand is not effective for improving the objective function. The value of the objective function is sensitive when supply and demand change, so we conduct a new study to diversify the value of the objective function, due to changes in resource and demand levels simultaneously. |
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| Keywords: Multi-parametric Flexible Fuzzy Transportation Problem, Solid Transportation, Membership Function. |
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Full-Text [PDF 1290 kb]
(1576 Downloads)
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Type of Study: Original |
Subject:
Mathematical Modeling and Applications of OR
Received: 2022/07/29 | Accepted: 2022/12/24 | Published: 2022/12/24
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