Workshop Applied Topological Structures WATS'17
https://riunet.upv.es:443/handle/10251/126958
2020-03-28T19:03:50ZOn the problem of relaxed indistinguishability operators aggregation
https://riunet.upv.es:443/handle/10251/128050
On the problem of relaxed indistinguishability operators aggregation
Calvo Sánchez, T.; Fuster Parra, Pilar; Valero, O.
[EN] In this paper we focus our attention on exploring the aggregation of relaxed indistinguishability operators. Concretely we characterize, in terms of triangular triplets with respect to a t-norm, those functions that allow to merge a collection of relaxed indistinguishability operators into a single one.
2019-10-11T10:19:53ZThe distribution function of a probability measure on a space with a fractal structure
https://riunet.upv.es:443/handle/10251/128046
The distribution function of a probability measure on a space with a fractal structure
Gálvez-Rodríguez, José Fulgencio; Sánchez Granero, Miguel Ángel
[EN] In this work we show how to define a probability measure with the
help of a fractal structure. One of the keys of this approach is to use
the completion of the fractal structure. Then we use the theory of a
cumulative distribution function on a Polish ultrametric space and describe it in this context. Finally, with the help of fractal structures, we
prove that a function satisfying the properties of a cumulative distribution function on a Polish ultrametric space is a cumulative distribution
function with respect to some probability measure on the space.
2019-10-11T10:09:21ZA proposal toward a possibilistic multi-robot task allocation
https://riunet.upv.es:443/handle/10251/128044
A proposal toward a possibilistic multi-robot task allocation
Guerrero, José
[EN] One of the main problems to solve in a multi-robot systems is to select the best robot to execute each task (task allocation). Several ways to address this problem have been proposed in the literature. This paper focuses on one of them, the so-called response threshold methods. In a recent previous work, it was proved that the possibilistic Markov chains outperform the classical probabilistic approaches when they are used to implement response threshold methods. The aim of this paper is to summarize the advances given by or research group toward a new possibilistic swarm multi-robot task allocation framework.
2019-10-11T09:59:56ZFuzzy contractive sequences
https://riunet.upv.es:443/handle/10251/128042
Fuzzy contractive sequences
Gregori Gregori, Valentín; Sapena Piera, Almanzor
[EN] In this paper we survey some results on contractive sequences in fuzzy metric spaces in the sense of George and Veeramani.
2019-10-11T09:55:20ZProbabilistic uniformities of uniform spaces
https://riunet.upv.es:443/handle/10251/128037
Probabilistic uniformities of uniform spaces
Rodríguez López, Jesús; Romaguera Bonilla, Salvador; Sanchis, Manuel
[EN] Usually, fuzzy metric spaces are endowed with crisp topologies or crisp uniformities. Nevertheless, some authors have shown how to construct in this context different kinds of fuzzy uniformities like a Hutton [0, 1]-
quasi-uniformity or a probabilistic uniformity. In 2010, J. Guti´errez Garc´ıa, S. Romaguera and M. Sanchis [7] proved that the category of uniform spaces is isomorphic to a category whose objects are sets endowed with a fuzzy uniform structure, i. e. a family of fuzzy pseudometrics satisfying certain conditions. We will show here that, by means of this isomorphism, we can obtain several methods to endow a uniform space with a probabilistic uniformity. Furthermore, we obtain a factorization of some functors introduced in [6].
2019-10-11T09:46:55ZExtension of $b_f$-continuous functions defined on a product of $b_f$-groups
https://riunet.upv.es:443/handle/10251/128035
Extension of $b_f$-continuous functions defined on a product of $b_f$-groups
Sanchis, Manuel
[EN] Let X be a bf -space and let G be a bf -group. By means of the exponential mapping we characterize when a bf -continuous function on X × G with values in a topologically complete sapce Z has a bf -continuous extension to β(X) × G. As a consequence we show that the product of a pseudocompact space and a bf -group is a bf -group. This result generalizes the fact that the product of a pseudocompact space and a pseudocompact group is pseudocompact.
2019-10-11T09:42:46ZQuasi-metrics, midpoints and applications
https://riunet.upv.es:443/handle/10251/128033
Quasi-metrics, midpoints and applications
Valero, Oscar
[EN] In this short note we want to explicitly state that there is a growing research activity in the field of information aggregation via midpoint theory and its applications to decision making.
2019-10-11T09:39:51ZSome observations on a fuzzy metric space
https://riunet.upv.es:443/handle/10251/128031
Some observations on a fuzzy metric space
Gregori Gregori, Valentín; Miñana, J.J.; Miravet, David
[EN] Let (X, d) be a metric space. In this paper we provide some observations about the fuzzy metric space in the sense of Kramosil and Michalek (Y, N, ∧), where Y is the set of non-negative real numbers [0, ∞[ and N(x, y, t) = 1 if d(x, y) ≤ t and N(x, y, t) = 0 if d(x, y) ≥ t.
2019-10-11T09:36:23ZRelaxed metrics and indistinguishability operators: the relationship
https://riunet.upv.es:443/handle/10251/128028
Relaxed metrics and indistinguishability operators: the relationship
Fuster-Parra, P.; Martín, Javier; Miñana, J.J.; Valero, O.
[EN] In 1982, the notion of indistinguishability operator was introduced by E. Trillas in order to fuzzify the crisp notion of equivalence relation (\cite{Trillas}). In the study of such a class of operators, an outstanding property must be pointed out. Concretely, there exists a duality relationship between indistinguishability operators and metrics. The aforesaid relationship was deeply studied by several authors that introduced a few techniques to generate metrics from indistinguishability operators and vice-versa (see, for instance, \cite{BaetsMesiar,BaetsMesiar2}). In the last years a new generalization of the metric notion has been introduced in the literature with the purpose of developing mathematical tools for quantitative models in Computer Science and Artificial Intelligence (\cite{BKMatthews,Ma}). The aforementioned generalized metrics are known as relaxed metrics. The main target of this talk is to present a study of the duality relationship between indistinguishability operators and relaxed metrics in such a way that the aforementioned classical techniques to generate both concepts, one from the other, can be extended to the new framework.
2019-10-11T09:23:25ZThe distribution function of a probability measure on a Polish ultrametric space
https://riunet.upv.es:443/handle/10251/128027
The distribution function of a probability measure on a Polish ultrametric space
Gálvez-Rodríguez, José; Sánchez-Granero, Miguel Ángel
[EN] In this work we elaborate a theory of a cumulative distribution function on a Polish ultrametric space from a probability measure defined in this space. With that purpose, the idea is to define an order in the space from the collection of balls and show that the function defined plays a similar role to that played by a cumulative distribution function in the classical case
2019-10-11T09:18:04Z