6533b7d1fe1ef96bd125c11c

RESEARCH PRODUCT

The fuzzy p-median problem

Vicente LiernMaría José CanósCarlos Ivorra

subject

Mathematical optimizationFuzzy classificationFuzzy transportationComputer scienceFuzzy setGeneral EngineeringFuzzy set operationsFuzzy numberType-2 fuzzy sets and systemsGeneral Business Management and AccountingDefuzzificationFuzzy logic

description

In many location models, the strong crisp assumptions, like known demands and distances, are not realistic in most cases. The fuzzy p-median problem relaxes this hypothesis giving to the decision maker a necessary degree of freedom to solve real-world problems. It allows a decision maker to improve an optimal covering of a location problem by considering partially feasible solutions in which some demand is left uncovered. Here we revise the main facts and results about this problem emphasising different specific algorithms of resolution. Finally we show that this fuzzy version can be used to analyse the global structure of a given instance of the crisp problem.

https://doi.org/10.1504/ijtpm.2004.006618