On solving a multiobjective fixed charge problem with imprecise fractional objectives
•Multiobjective Fixed Charge Problem with fractional objective functions.•Imprecise nature of objectives – fuzzy coefficients and fuzzy fixed charges.•Systematically enumerating the extreme points of the feasible region.•Ranking function is employed to deal with fuzziness, and a set of efficient sol...
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| Vydáno v: | Applied soft computing Ročník 40; s. 64 - 69 |
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| Jazyk: | angličtina |
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Elsevier B.V
01.03.2016
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| ISSN: | 1568-4946, 1872-9681 |
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| Abstract | •Multiobjective Fixed Charge Problem with fractional objective functions.•Imprecise nature of objectives – fuzzy coefficients and fuzzy fixed charges.•Systematically enumerating the extreme points of the feasible region.•Ranking function is employed to deal with fuzziness, and a set of efficient solutions is obtained.•Numerical example provided to illustrate the algorithm.
The fixed charge problem is a special type of nonlinear programming problem which forms the basis of many industry problems wherein a charge is associated with performing an activity. In real world situations, the information provided by the decision maker regarding the coefficients of the objective functions may not be of a precise nature. This paper aims to describe a solution algorithm for solving such a fixed charge problem having multiple fractional objective functions which are all of a fuzzy nature. The enumerative technique developed not only finds the set of efficient solutions but also a corresponding fuzzy solution, enabling the decision maker to operate in the range obtained. A real life numerical example in the context of the ship routing problem is presented to illustrate the proposed method. |
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| AbstractList | •Multiobjective Fixed Charge Problem with fractional objective functions.•Imprecise nature of objectives – fuzzy coefficients and fuzzy fixed charges.•Systematically enumerating the extreme points of the feasible region.•Ranking function is employed to deal with fuzziness, and a set of efficient solutions is obtained.•Numerical example provided to illustrate the algorithm.
The fixed charge problem is a special type of nonlinear programming problem which forms the basis of many industry problems wherein a charge is associated with performing an activity. In real world situations, the information provided by the decision maker regarding the coefficients of the objective functions may not be of a precise nature. This paper aims to describe a solution algorithm for solving such a fixed charge problem having multiple fractional objective functions which are all of a fuzzy nature. The enumerative technique developed not only finds the set of efficient solutions but also a corresponding fuzzy solution, enabling the decision maker to operate in the range obtained. A real life numerical example in the context of the ship routing problem is presented to illustrate the proposed method. |
| Author | Upmanyu, M. Saxena, R.R. |
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| Cites_doi | 10.1002/nav.3800140110 10.1007/s13675-014-0020-9 10.1016/0165-0114(95)00273-1 10.1016/0165-0114(90)90189-D 10.1002/nav.3800170209 10.1016/0005-1098(77)90008-5 10.1287/mnsc.22.5.587 10.1007/s12597-010-0016-z 10.1002/nav.3800180303 10.1002/nav.3800150306 10.1016/0165-0114(92)90223-Q 10.1287/opre.13.6.1029 10.1287/opre.16.2.268 10.1016/0165-0114(85)90012-0 10.1016/0898-1221(75)90010-3 |
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| Title | On solving a multiobjective fixed charge problem with imprecise fractional objectives |
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