A Fixed Charge Solid Transportation Problem with Possibility and Expected Value Approaches in Hybrid Uncertain Environment
| Autor: | Amrit Das, Anirban Dutta, Dipanjana Sengupta, Uttam Kumar Bera |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Mathematical optimization
021103 operations research Computer science business.industry Fuzzy set 0211 other engineering and technologies 02 engineering and technology Expected value Space (mathematics) Fuzzy logic Software Fixed charge 0202 electrical engineering electronic engineering information engineering 020201 artificial intelligence & image processing Rough set business Solid transportation problem |
| Zdroj: | Recent Advances in Intelligent Information Systems and Applied Mathematics ISBN: 9783030341510 ICITAM |
| DOI: | 10.1007/978-3-030-34152-7_14 |
| Popis: | The main investigation of the paper is to develop the restricted fixed charge solid transportation problem under a hybrid uncertain environment where fuzziness and roughness coexist. A fuzzy rough STP model is developed by integrating the classical STP, fuzzy set theory, and rough set theory, which apparently provide a way to accommodate the uncertainty. For solving the problem, we apply the fuzzy rough expected value operator and propose the possibility based STP model with fuzzy rough parameters on a rough space. A numerical example is presented to describe the fuzzy rough approach using Lingo 13.0 optimization software. Finally, a graphical presentation has also shown to describe the comparison between two proposed approaches. Some important managerial decisions are also drawn by observing the optimal result. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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