On characterizing solution for multi-objective fractional two-stage solid transportation problem under fuzzy environment
This article attempts to study cost minimizing multi-objective fractional solid transportation problem with fuzzy cost coefficients c˜ijkr{\tilde{c}}_{ijk}^{r}, fuzzy supply quantities a˜i{\tilde{a}}_{i}, fuzzy demands b˜j{\tilde{b}}_{j}, and/or fuzzy conveyances e˜k{\tilde{e}}_{k}. The fuzzy effici...
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De Gruyter
2021
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oai:doaj.org-article:594e308dfada4afd8c6011f997580ec12021-12-05T14:10:51ZOn characterizing solution for multi-objective fractional two-stage solid transportation problem under fuzzy environment2191-026X10.1515/jisys-2020-0095https://doaj.org/article/594e308dfada4afd8c6011f997580ec12021-04-01T00:00:00Zhttps://doi.org/10.1515/jisys-2020-0095https://doaj.org/toc/2191-026XThis article attempts to study cost minimizing multi-objective fractional solid transportation problem with fuzzy cost coefficients c˜ijkr{\tilde{c}}_{ijk}^{r}, fuzzy supply quantities a˜i{\tilde{a}}_{i}, fuzzy demands b˜j{\tilde{b}}_{j}, and/or fuzzy conveyances e˜k{\tilde{e}}_{k}. The fuzzy efficient concept is introduced in which the crisp efficient solution is extended. A necessary and sufficient condition for the solution is established. Fuzzy geometric programming approach is applied to solve the crisp problem by defining membership function so as to obtain the optimal compromise solution of a multi-objective two-stage problem. A linear membership function for the objective function is defined. The stability set of the first kind is defined and determined. A numerical example is given for illustration and to check the validity of the proposed approach.Khalifa Hamiden Abd El-WahedKumar PavanAlharbi Majed. G.De Gruyterarticlesolid transportation problemmulti-objectivefuzzy numberfuzzy efficient solutionfuzzy programmingoptimalityparametric studyScienceQElectronic computers. Computer scienceQA75.5-76.95ENJournal of Intelligent Systems, Vol 30, Iss 1, Pp 620-635 (2021) |
| institution |
DOAJ |
| collection |
DOAJ |
| language |
EN |
| topic |
solid transportation problem multi-objective fuzzy number fuzzy efficient solution fuzzy programming optimality parametric study Science Q Electronic computers. Computer science QA75.5-76.95 |
| spellingShingle |
solid transportation problem multi-objective fuzzy number fuzzy efficient solution fuzzy programming optimality parametric study Science Q Electronic computers. Computer science QA75.5-76.95 Khalifa Hamiden Abd El-Wahed Kumar Pavan Alharbi Majed. G. On characterizing solution for multi-objective fractional two-stage solid transportation problem under fuzzy environment |
| description |
This article attempts to study cost minimizing multi-objective fractional solid transportation problem with fuzzy cost coefficients c˜ijkr{\tilde{c}}_{ijk}^{r}, fuzzy supply quantities a˜i{\tilde{a}}_{i}, fuzzy demands b˜j{\tilde{b}}_{j}, and/or fuzzy conveyances e˜k{\tilde{e}}_{k}. The fuzzy efficient concept is introduced in which the crisp efficient solution is extended. A necessary and sufficient condition for the solution is established. Fuzzy geometric programming approach is applied to solve the crisp problem by defining membership function so as to obtain the optimal compromise solution of a multi-objective two-stage problem. A linear membership function for the objective function is defined. The stability set of the first kind is defined and determined. A numerical example is given for illustration and to check the validity of the proposed approach. |
| format |
article |
| author |
Khalifa Hamiden Abd El-Wahed Kumar Pavan Alharbi Majed. G. |
| author_facet |
Khalifa Hamiden Abd El-Wahed Kumar Pavan Alharbi Majed. G. |
| author_sort |
Khalifa Hamiden Abd El-Wahed |
| title |
On characterizing solution for multi-objective fractional two-stage solid transportation problem under fuzzy environment |
| title_short |
On characterizing solution for multi-objective fractional two-stage solid transportation problem under fuzzy environment |
| title_full |
On characterizing solution for multi-objective fractional two-stage solid transportation problem under fuzzy environment |
| title_fullStr |
On characterizing solution for multi-objective fractional two-stage solid transportation problem under fuzzy environment |
| title_full_unstemmed |
On characterizing solution for multi-objective fractional two-stage solid transportation problem under fuzzy environment |
| title_sort |
on characterizing solution for multi-objective fractional two-stage solid transportation problem under fuzzy environment |
| publisher |
De Gruyter |
| publishDate |
2021 |
| url |
https://doaj.org/article/594e308dfada4afd8c6011f997580ec1 |
| work_keys_str_mv |
AT khalifahamidenabdelwahed oncharacterizingsolutionformultiobjectivefractionaltwostagesolidtransportationproblemunderfuzzyenvironment AT kumarpavan oncharacterizingsolutionformultiobjectivefractionaltwostagesolidtransportationproblemunderfuzzyenvironment AT alharbimajedg oncharacterizingsolutionformultiobjectivefractionaltwostagesolidtransportationproblemunderfuzzyenvironment |
| _version_ |
1718371668395556864 |