Fractional Goal Programming for Fuzzy Solid Transportation Problem with Interval Cost
In this paper, we study a solid transportation problem with interval cost using fractional goal programming approach (FGP). In real life applications of the FGP problem with multiple objectives, it is difficult for the decision-maker(s) to determine the goal value of each objective precisely as the...
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| Format: | Article |
| Language: | English |
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Tsinghua University Press
2014-09-01
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| Series: | Fuzzy Information and Engineering |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1616865814000454 |
| _version_ | 1797716867325886464 |
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| author | B. Radhakrishnan P. Anukokila |
| author_facet | B. Radhakrishnan P. Anukokila |
| author_sort | B. Radhakrishnan |
| collection | DOAJ |
| description | In this paper, we study a solid transportation problem with interval cost using fractional goal programming approach (FGP). In real life applications of the FGP problem with multiple objectives, it is difficult for the decision-maker(s) to determine the goal value of each objective precisely as the goal values are imprecise, vague, or uncertain. Therefore, a fuzzy goal programming model is developed for this purpose. The proposed model presents an application of fuzzy goal programming to the solid transportation problem. Also, we use a special type of non-linear (hyperbolic) membership functions to solve multi-objective transportation problem. It gives an optimal compromise solution. The proposed model is illustrated by using an example. |
| first_indexed | 2024-03-12T08:27:45Z |
| format | Article |
| id | doaj.art-68e36e4f51e8433ba330e15004759868 |
| institution | Directory Open Access Journal |
| issn | 1616-8658 |
| language | English |
| last_indexed | 2024-03-12T08:27:45Z |
| publishDate | 2014-09-01 |
| publisher | Tsinghua University Press |
| record_format | Article |
| series | Fuzzy Information and Engineering |
| spelling | doaj.art-68e36e4f51e8433ba330e150047598682023-09-02T17:59:02ZengTsinghua University PressFuzzy Information and Engineering1616-86582014-09-016335937710.1016/j.fiae.2014.12.006Fractional Goal Programming for Fuzzy Solid Transportation Problem with Interval CostB. Radhakrishnan0P. Anukokila1Department of Mathematics, PSG College of Technology, Coimbatore- 641004, IndiaDepartment of Mathematics, PSG College of Arts & Science, Coimbatore- 641014, IndiaIn this paper, we study a solid transportation problem with interval cost using fractional goal programming approach (FGP). In real life applications of the FGP problem with multiple objectives, it is difficult for the decision-maker(s) to determine the goal value of each objective precisely as the goal values are imprecise, vague, or uncertain. Therefore, a fuzzy goal programming model is developed for this purpose. The proposed model presents an application of fuzzy goal programming to the solid transportation problem. Also, we use a special type of non-linear (hyperbolic) membership functions to solve multi-objective transportation problem. It gives an optimal compromise solution. The proposed model is illustrated by using an example.http://www.sciencedirect.com/science/article/pii/S1616865814000454Solid transportation problemInterval numberFuzzy goal programmingFractional programming |
| spellingShingle | B. Radhakrishnan P. Anukokila Fractional Goal Programming for Fuzzy Solid Transportation Problem with Interval Cost Fuzzy Information and Engineering Solid transportation problem Interval number Fuzzy goal programming Fractional programming |
| title | Fractional Goal Programming for Fuzzy Solid Transportation Problem with Interval Cost |
| title_full | Fractional Goal Programming for Fuzzy Solid Transportation Problem with Interval Cost |
| title_fullStr | Fractional Goal Programming for Fuzzy Solid Transportation Problem with Interval Cost |
| title_full_unstemmed | Fractional Goal Programming for Fuzzy Solid Transportation Problem with Interval Cost |
| title_short | Fractional Goal Programming for Fuzzy Solid Transportation Problem with Interval Cost |
| title_sort | fractional goal programming for fuzzy solid transportation problem with interval cost |
| topic | Solid transportation problem Interval number Fuzzy goal programming Fractional programming |
| url | http://www.sciencedirect.com/science/article/pii/S1616865814000454 |
| work_keys_str_mv | AT bradhakrishnan fractionalgoalprogrammingforfuzzysolidtransportationproblemwithintervalcost AT panukokila fractionalgoalprogrammingforfuzzysolidtransportationproblemwithintervalcost |