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Miranda Menéndez, Pedro and Combarro, Elías F. and Gil, Pedro (2006) Extreme points of some families of non-additive measures. European journal of operational research, 174 (3). pp. 1865-1884. ISSN 0377-2217
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Official URL: http://www.sciencedirect.com/science/article/pii/S0377221705002730
Abstract
Non-additive measures are a valuable tool to model many different problems arising in real situations. However, two important difficulties appear in their practical use: the complexity of the measures and their identification from sample data. For the first problem, additional conditions are imposed, leading to different subfamilies of non-additive measures. Related to the second point, in this paper we study the set of vertices of some families of non-additive measures, namely k-additive measures and p-symmetric measures. These extreme points are necessary in order to properly apply a new method of identification of non-additive measures based on genetic algorithms, whose cross-over operator is the convex combination. We solve the problem through techniques of Linear Programming.
Item Type: | Article |
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Uncontrolled Keywords: | Decision analysis; Genetic algorithms; Multiple criteria analysis; Linear programming; Non-additive measures; k-additivity; p-symmetry; Vertices |
Subjects: | Sciences > Mathematics > Operations research |
ID Code: | 17069 |
Deposited On: | 13 Nov 2012 10:19 |
Last Modified: | 26 Jul 2018 07:44 |
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