Genetic Algorithm Based Solution of Fuzzy Multi-Objective Transportation Problem
Optimizing problems in the modern era, the single objective optimization problems are insufficient to hold the full data of the problem. Therefore, multi-objective optimization problems come to the rescue. Similarly, in daily life problems, the parameters used in the optimization problem are not alw...
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| Format: | Article |
| Language: | English |
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Ram Arti Publishers
2020-12-01
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| Series: | International Journal of Mathematical, Engineering and Management Sciences |
| Subjects: | |
| Online Access: | https://www.ijmems.in/volumes/volume5/number6/108-IJMEMS-20-80-5-6-1452-1467-2020.pdf |
| _version_ | 1811273300247052288 |
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| author | Jaydeepkumar M. Sosa Jayesh M. Dhodiya |
| author_facet | Jaydeepkumar M. Sosa Jayesh M. Dhodiya |
| author_sort | Jaydeepkumar M. Sosa |
| collection | DOAJ |
| description | Optimizing problems in the modern era, the single objective optimization problems are insufficient to hold the full data of the problem. Therefore, multi-objective optimization problems come to the rescue. Similarly, in daily life problems, the parameters used in the optimization problem are not always fixed but there may be some uncertainty and it can characterize by fuzzy number. This work underlines the genetic algorithm (GA) based solution of fuzzy transportation problem with more than one objective. With a view to providing the multifaceted choices to decision-maker (DM), the exponential membership function is used with the decision-makers desired number of cases which consisted of shape parameter and aspiration level. Here, we consider the objective functions which are non-commensurable and conflict with each other. To interpret, evaluate and exhibit the usefulness of the proposed method, a numerical example is given. |
| first_indexed | 2024-04-12T22:56:41Z |
| format | Article |
| id | doaj.art-432edbee671d42aba8623247bdc2ba77 |
| institution | Directory Open Access Journal |
| issn | 2455-7749 2455-7749 |
| language | English |
| last_indexed | 2024-04-12T22:56:41Z |
| publishDate | 2020-12-01 |
| publisher | Ram Arti Publishers |
| record_format | Article |
| series | International Journal of Mathematical, Engineering and Management Sciences |
| spelling | doaj.art-432edbee671d42aba8623247bdc2ba772022-12-22T03:13:11ZengRam Arti PublishersInternational Journal of Mathematical, Engineering and Management Sciences2455-77492455-77492020-12-01561452146710.33889/IJMEMS.2020.5.6.108Genetic Algorithm Based Solution of Fuzzy Multi-Objective Transportation ProblemJaydeepkumar M. Sosa0Jayesh M. Dhodiya1Department of Mathematics, Sardar Vallabhbhai National Institute of Technology, Surat, Gujarat, India.Department of Mathematics, Sardar Vallabhbhai National Institute of Technology, Surat, Gujarat, India.Optimizing problems in the modern era, the single objective optimization problems are insufficient to hold the full data of the problem. Therefore, multi-objective optimization problems come to the rescue. Similarly, in daily life problems, the parameters used in the optimization problem are not always fixed but there may be some uncertainty and it can characterize by fuzzy number. This work underlines the genetic algorithm (GA) based solution of fuzzy transportation problem with more than one objective. With a view to providing the multifaceted choices to decision-maker (DM), the exponential membership function is used with the decision-makers desired number of cases which consisted of shape parameter and aspiration level. Here, we consider the objective functions which are non-commensurable and conflict with each other. To interpret, evaluate and exhibit the usefulness of the proposed method, a numerical example is given.https://www.ijmems.in/volumes/volume5/number6/108-IJMEMS-20-80-5-6-1452-1467-2020.pdffuzzy optimizationgaexponential membership functiondecision-maker (dm) |
| spellingShingle | Jaydeepkumar M. Sosa Jayesh M. Dhodiya Genetic Algorithm Based Solution of Fuzzy Multi-Objective Transportation Problem International Journal of Mathematical, Engineering and Management Sciences fuzzy optimization ga exponential membership function decision-maker (dm) |
| title | Genetic Algorithm Based Solution of Fuzzy Multi-Objective Transportation Problem |
| title_full | Genetic Algorithm Based Solution of Fuzzy Multi-Objective Transportation Problem |
| title_fullStr | Genetic Algorithm Based Solution of Fuzzy Multi-Objective Transportation Problem |
| title_full_unstemmed | Genetic Algorithm Based Solution of Fuzzy Multi-Objective Transportation Problem |
| title_short | Genetic Algorithm Based Solution of Fuzzy Multi-Objective Transportation Problem |
| title_sort | genetic algorithm based solution of fuzzy multi objective transportation problem |
| topic | fuzzy optimization ga exponential membership function decision-maker (dm) |
| url | https://www.ijmems.in/volumes/volume5/number6/108-IJMEMS-20-80-5-6-1452-1467-2020.pdf |
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