AXES-RESEARCH — A user-oriented tool for enhanced multimodal search and retrieval in audiovisual libraries

in 2014 12th International Workshop on Content-Based Multimedia Indexing (CBMI) (2014)

AXES, Access for Audiovisual Archives, is a research project developing tools for new engaging ways to interact with audiovisual libraries, integrating advanced audio and video analysis technologies. The ... [more ▼]

AXES, Access for Audiovisual Archives, is a research project developing tools for new engaging ways to interact with audiovisual libraries, integrating advanced audio and video analysis technologies. The presented prototype is targeted at academic researchers and journalists. The tool allows them to search and retrieve video segments through metadata, audio analysis, as well as visual concepts and similarity searches. Presented here is a user-based vision on the research-oriented tool provided by AXES. [less ▲]

An axiomatic approach of the discrete Choquet integral as a tool to aggregate interacting criteria

in IEEE Transactions on Fuzzy Systems (2000), 8(6), 800-807

The most often used operator to aggregate criteria in decision making problems is the classical weighted arithmetic mean. In many problems however, the criteria considered interact, and a substitute to ... [more ▼]

The most often used operator to aggregate criteria in decision making problems is the classical weighted arithmetic mean. In many problems however, the criteria considered interact, and a substitute to the weighted arithmetic mean has to be adopted. We show that, under rather natural conditions, the discrete Choquet integral is an adequate aggregation operator that extends the weighted arithmetic mean by the taking into consideration of the interaction among criteria. The axiomatic that supports the Choquet integral is presented and an intuitive approach is proposed as well. [less ▲]

An axiomatic approach to firewall rule update

Scientific Conference (2009)

An axiomatic approach to the definition of the entropy of a discrete Choquet capacity

in Information Sciences (2005), 172(1-2), 131-153

To extend the classical Shannon entropy to non-additive measures, Marichal recently introduced the concept of generalized entropy for discrete Choquet capacities. We provide a first axiomatization of this ... [more ▼]

To extend the classical Shannon entropy to non-additive measures, Marichal recently introduced the concept of generalized entropy for discrete Choquet capacities. We provide a first axiomatization of this new concept on the basis of three axioms: the symmetry property, a boundary condition for which the entropy reduces to the Shannon entropy, and a generalized version of the well-known recursivity property. We also show that this generalized entropy fulfills several properties considered as requisites for defining an entropy-like measure. Lastly, we provide an interpretation of it in the framework of aggregation by the discrete Choquet integral. [less ▲]

An Axiomatic Approach to the Measurementof Poverty Reduction Failure

in Economic Modelling (2013), 35

A poverty reduction failure index is a measure of the extent of inability of a society to reduce its poverty level. This paper develops an ordering for ranking alternative income distributions in terms of ... [more ▼]

A poverty reduction failure index is a measure of the extent of inability of a society to reduce its poverty level. This paper develops an ordering for ranking alternative income distributions in terms of poverty reduction failures. The ordering can be easily implemented using the generalized Lorenz or the Three I’s of poverty (TIP) curve dominance criterion. We also characterize an existing index of poverty reduction failure using an axiomatic structure. [less ▲]

Axiomatic characterizations of probabilistic and cardinal-probabilistic interaction indices

in Games and Economic Behavior (2006), 55(1), 72-99

In the framework of cooperative game theory, the concept of interaction index, which can be regarded as an extension of that of value, has been recently proposed to measure the interaction phenomena among ... [more ▼]

In the framework of cooperative game theory, the concept of interaction index, which can be regarded as an extension of that of value, has been recently proposed to measure the interaction phenomena among players. Axiomatizations of two classes of interaction indices, namely probabilistic interaction indices and cardinal-probabilistic interaction indices, generalizing probabilistic values and semivalues, respectively, are first proposed. The axioms we utilize are based on natural generalizations of axioms involved in the axiomatizations of values. In the second half of the paper, existing instances of cardinal-probabilistic interaction indices encountered thus far in the literature are also axiomatized. [less ▲]

Axiomatizations of Lovász extensions of pseudo-Boolean functions

in Fuzzy Sets & Systems (2011), 181(1), 28-38

Three important properties in aggregation theory are investigated, namely horizontal min-additivity, horizontal max-additivity, and comonotonic additivity, which are defined by certain relaxations of the ... [more ▼]

Three important properties in aggregation theory are investigated, namely horizontal min-additivity, horizontal max-additivity, and comonotonic additivity, which are defined by certain relaxations of the Cauchy functional equation in several variables. We show that these properties are equivalent and we completely describe the functions characterized by them. By adding some regularity conditions, these functions coincide with the Lovász extensions vanishing at the origin, which subsume the discrete Choquet integrals. We also propose a simultaneous generalization of horizontal min-additivity and horizontal max-additivity, called horizontal median-additivity, and we describe the corresponding function class. Additional conditions then reduce this class to that of symmetric Lovász extensions, which includes the discrete symmetric Choquet integrals. [less ▲]

Axiomatizations of quasi-polynomial functions on bounded chains

in Aequationes Mathematicae (2009), 78(1-2), 195-213

Two emergent properties in aggregation theory are investigated, namely horizontal maxitivity and comonotonic maxitivity (as well as their dual counterparts) which are commonly defined by means of certain ... [more ▼]

Two emergent properties in aggregation theory are investigated, namely horizontal maxitivity and comonotonic maxitivity (as well as their dual counterparts) which are commonly defined by means of certain functional equations. We completely describe the function classes axiomatized by each of these properties, up to weak versions of monotonicity in the cases of horizontal maxitivity and minitivity. While studying the classes axiomatized by combinations of these properties, we introduce the concept of quasi-polynomial function which appears as a natural extension of the well-established notion of polynomial function. We give further axiomatizations for this class both in terms of functional equations and natural relaxations of homogeneity and median decomposability. As noteworthy particular cases, we investigate those subclasses of quasi-term functions and quasi-weighted maximum and minimum functions, and provide characterizations accordingly. [less ▲]

Axiomatizations of the discrete Choquet integral and extensions

in Galichet, Sylvie; Montero, Javier; Mauris, Gilles (Eds.) Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-2011) and LFA-2011 (2011)

Three important properties in aggregation theory are investigated, namely horizontal min-additivity, horizontal max-additivity, and comonotonic additivity, which are defined by certain relaxations of the ... [more ▼]

Three important properties in aggregation theory are investigated, namely horizontal min-additivity, horizontal max-additivity, and comonotonic additivity, which are defined by certain relaxations of the Cauchy functional equation in several variables. We show that these properties are equivalent and we completely describe the functions characterized by them. By adding some regularity conditions, the latter functions coincide with the Lovász extensions vanishing at the origin, which subsume the discrete Choquet integrals. We also propose a simultaneous generalization of horizontal min-additivity and horizontal max-additivity, called horizontal median-additivity, and we describe the corresponding function class. Additional conditions then reduce this class to that of symmetric Lovász extensions, which includes the discrete symmetric Choquet integrals. [less ▲]

Az alkotmánybíróság a nemzetközi bűnügyi együttműködés útvesztőjében

in Magyar Jog (2008)