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In this paper we study the adjacency structure of the order polytope of a poset. For a given poset, we determine whether two vertices in the corresponding order polytope are adjacent. This is done through filters in the original poset. We also p[...]texto impreso
In this paper we study the group of isometries over the order polytope of a poset. We provide a result that characterizes any isometry based on the order structure in the original poset. From this result we provide upper bounds for the number of[...]texto impreso
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. F[...]texto impreso
In this paper, we introduce a method for the identification of fuzzy measures from sample data. It is implemented using genetic algorithms and is flexible enough to allow the use of different subfamilies of fuzzy measures for the learning, as k-[...]texto impreso
In this paper we deal with the problem of obtaining a random procedure for generating fuzzy measures. We use the fact that the polytope of fuzzy measures is an order polytope, so that it has special properties that allow to build a uniform algor[...]texto impreso
In this paper we deal with the problem of studying the structure of the polytope of non-additive measures for finite referential sets. We give a necessary and sufficient condition for two extreme points of this polytope to be adjacent. We also s[...]texto impreso
In this paper we study some properties of the polytope of belief functions on a finite referential. These properties can be used in the problem of identification of a belief function from sample data. More concretely, we study the set of isometr[...]texto impreso
Miranda Menéndez, Pedro ; Combarro, Elías F. | Institute of Electrical and Electronics Engineers | 2007-12The generation of fuzzy measures is an important question arising in the practical use of these operators. In this paper, we deal with the problem of developing a random generator of fuzzy measures. More concretely, we study some of the properti[...]texto impreso
In this paper we present some results concerning the vertices of the set of fuzzy measures being at most k-additive. We provide an algorithm to compute them. We give some examples of the results obtained with this algorithm and give lower bounds[...]texto impreso
Combarro, Elías F. ; Miranda Menéndez, Pedro | International Fuzzy Systems Association (IFSA); European Society for Fuzzy Logic and Technology (EUSFLAT | 2009The family of k-additive measures has been introduced as a midterm between probabilities and general fuzzy measures and finds a wide number of applications in practice. However, its structure is different from other families of fuzzy measures an[...]texto impreso
In this paper we deal with the problem of studying the structure of the polytope of fuzzy measure for finite referential sets. We prove that the diameter of tire polytope of fuzzy measures is 3 for referentials of 3 elements or more. We also sho[...]
