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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Veröffentlicht in:Applied soft computing Jg. 40; S. 64 - 69
Hauptverfasser: Upmanyu, M., Saxena, R.R.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier B.V 01.03.2016
Schlagworte:
Fixed charge problem
Fractional programming
Fuzzy objective function
Multiobjective programming
Fixed charge problem
Fractional programming
Fuzzy objective function
Multiobjective programming
ISSN:1568-4946, 1872-9681
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Zusammenfassung:•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.
ISSN:1568-4946
1872-9681
DOI:10.1016/j.asoc.2015.10.008