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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| Published in: | Applied soft computing Vol. 40; pp. 64 - 69 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Elsevier B.V
01.03.2016
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| Subjects: | |
| ISSN: | 1568-4946, 1872-9681 |
| Online Access: | Get full text |
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| Summary: | •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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| ISSN: | 1568-4946 1872-9681 |
| DOI: | 10.1016/j.asoc.2015.10.008 |