6533b837fe1ef96bd12a25f4
RESEARCH PRODUCT
Marginal analysis for the fuzzy p-median problem
Carlos IvorraMaría José CanósVicente Liernsubject
Mathematical optimizationInformation Systems and ManagementGeneral Computer ScienceStructure (category theory)Management Science and Operations ResearchType-2 fuzzy sets and systemsDefuzzificationFuzzy logicIndustrial and Manufacturing EngineeringFuzzy transportationModeling and SimulationFuzzy set operationsFuzzy numberAlgorithmMembership functionMathematicsdescription
The solutions to the fuzzy p-median problem make it possible to leave part of the demand uncovered in order to obtain significant reductions in costs. Moreover, the fuzzy formulation provides the decision-maker with many flexible solutions that he or she may prefer to the classical crisp solution. We introduce some marginal analysis techniques to study how solutions depend on membership functions. Taking into account the internal structure of the problem, we propose a practical criterion to fix the tolerances for the uncovered demand, which happens to be the most sensitive aspect of the fuzzy p-median.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2008-11-01 | European Journal of Operational Research |