Maddalena Manzi | Università di Trieste (original) (raw)
Papers by Maddalena Manzi
Topics in Intelligent Engineering and Informatics, 2013
ABSTRACT This paper presents new results about T-supermodularity for Choquet integral. This prope... more ABSTRACT This paper presents new results about T-supermodularity for Choquet integral. This property was introduced in [17] in order to extend the concept of supermodularity for Choquet integral, by using Frank t-norms and considering the particular case of two membership functions such that their minimum is zero. Now we consider general membership functions and we use properties and links among belief measures, Möbius transform and Choquet integrals, in order to present the general case studied over a finite set.
Rocky Mountain Journal of Mathematics, 2014
Ultramodular binary copulas are discussed, i.e., copulas of a random vector whose components are ... more Ultramodular binary copulas are discussed, i.e., copulas of a random vector whose components are mutually stochastically decreasing with respect to each other. The additive generators of Archimedean ultramodular binary copulas are fully characterized. Finally, a new construction method for binary copulas based on n-ary ultramodular aggregation functions is proposed.
We study conditions under which Sugeno and Choquet integrals satisfy properties of T-(S-)evaluators.
A Shilkret-like integral based on an absolutely monotone and sign stable set function, m ∈ AMSS i... more A Shilkret-like integral based on an absolutely monotone and sign stable set function, m ∈ AMSS is introduced. We discuss main properties of this new integral.
2014 IEEE 12th International Symposium on Intelligent Systems and Informatics (SISY), 2014
2005 IEEE Design Symposium, Systems and Information Engineering, 2005
The Ballast Control system, part of the Vessel Management System (VMS), allows operators of an of... more The Ballast Control system, part of the Vessel Management System (VMS), allows operators of an offshore oil drilling platform to use the vessel's fluid control system to keep the vessel at an even keel. This procedure is critical during the drilling process and for the overall safety of the ship. Based on a heuristic evaluation of the ballast control operator interface for a vessel being commissioned, this paper describes a prototype which implements Human Computer Interface (HCI) design principles that were lacking in the original displays. The former design included elements of information overload, poor shape and coloring of icons, inconsistent layouts, and inadequate menu designs. We prototyped a simulation plus operator interface to explore improvements in these areas and for enabling future students in the US-Brazil exchange program to understand and build on the current design. This paper reviews the existing ballast control operator interface on the Pride do Rio oil drilling platform and describes the features of the new prototype simulation system.
Information Sciences, Jan 1, 2011
Note to users: The section "Articles in Press" contains peer reviewed a... more Note to users: The section "Articles in Press" contains peer reviewed accepted articles to be published in this journal. When the final article is assigned to an issue of the journal, the "Article in Press" version will be removed from this section and will appear in the associated ...
International Mathematical Forum, Jan 1, 2008
In this paper we present the extension of the copula approach to aggregation functions. In fact w... more In this paper we present the extension of the copula approach to aggregation functions. In fact we want to focus on a class of aggregation functions and present them in the multi linear form with marginal copulae. Moreover we will define also the joint aggregation density function.
dma.unive.it
This paper presents the construction of a new kind of evaluators, which are studied on a vector l... more This paper presents the construction of a new kind of evaluators, which are studied on a vector lattice. In particular, by using an important identity on a vector lattice, we prove a characterization of supermodular property and we construct supermodular evaluators, briefly named SM -evaluators. Then in a particular lattice SM -evaluators become aggregation functions. Similarly we construct ultramodular evaluators, briefly named U M -evaluators.
This paper presents the role of copula functions in the theory of aggregation operators and an ax... more This paper presents the role of copula functions in the theory of aggregation operators and an axiomatic characterization of Archimedean aggregation functions. In this context we are focusing our attention about several properties of aggregation functions, like supermodularity and Schur-concavity.
The mathematical concept of supermodularity is known in the literature for functions on a general... more The mathematical concept of supermodularity is known in the literature for functions on a general lattice, but in this paper we define supermodularity for aggregation functions. In particular supermodularity is the main axiom for bivariate copulas, which are a subclass of supermodular aggregation functions. A simple way to generalize the axiom of supermodularity for bivariate copulas is given by the concept of ultramodularity. So, we characterize Archimedean ultramodular copulas and we develop some connections with Choquet integral.
Working Papers, Jan 1, 2007
In this paper we present the extension of the copula approach to aggregation functions. In fact w... more In this paper we present the extension of the copula approach to aggregation functions. In fact we want to focus on a class of aggregation functions and present them in the multilinear form with marginal copulae. Moreover we will define also the joint aggregation density function.
Intelligent Systems and …, Jan 1, 2011
This paper is based on the investigation of a new property for Choquet integral: -supermodularity... more This paper is based on the investigation of a new property for Choquet integral: -supermodularity. With this definition we want to extend the property of supermodularity for Choquet integral with respect to a supermodular fuzzy measure, in particular by using Frank -norms.
Social Science Research Network (SSRN …, Jan 1, 2007
This paper presents the role of copula functions in the theory of aggregation operators. In this ... more This paper presents the role of copula functions in the theory of aggregation operators. In this context we are focusing our attention about several properties of aggregation functions, like supermodularity and Schur-concavity, studying also a decomposition of supermodular binary aggregation operators and copulae.
Computational Intelligence for …, Jan 1, 2010
Following the ideas of stronger forms of monotonicity for unary real functions and for capacities... more Following the ideas of stronger forms of monotonicity for unary real functions and for capacities, k-monotone and strongly kmonotone aggregation functions are introduced and discussed. In the special case k = 2 also some applications are given.
Working Papers, Jan 1, 2008
There exist necessary and sufficient conditions on the generating functions of the FGM family, in... more There exist necessary and sufficient conditions on the generating functions of the FGM family, in order to obtain various dependence properties. We present multivariate generalizations of this class studying symmetry and dependence concepts, measuring the dependence among the components of each class and providing several examples.
In molti campi ci troviamo di fronte al problema di aggregare un insieme di risultati numerici, p... more In molti campi ci troviamo di fronte al problema di aggregare un insieme di risultati numerici, per ottenere un determinato valore; ciò avviene non soltanto in matematica ed in fisica, ma anche nell'ingegneria e nella maggior parte delle scienze economiche e sociali. Le funzioni di aggregazione, pertanto, sono usate per ottenere un risultato globale per ogni alternativa che consideri determinati criteri, anche se i problemi d'aggregazione sono molto vasti ed eterogenei. Ci sono, ad esempio, molti contributi sull'aggregazione di un numero finito od infinito di inputs reali , su argomenti che trattano input su scala ordinale [32] o sul problema di aggregare input complessi (come le distribuzioni di probabilità [81, 91] o i fuzzy sets [105]). Le funzioni d'aggregazione, in particolare, giocano un ruolo importante nell'area dei processi decisionali, dove, infatti, i valori da aggregare sono tipicamente gradi di preferenza o di soddisfazione e, quindi, appartengono all'intervallo [0, 1]. Sia n ∈ N, n ≥ 2. Una funzione d'aggregazione n-aria è una mappa A da [0, 1] n in [0, 1], che soddisfa alle seguenti proprietà: (A1) A(0, . . . , 0) = 0 e A(1, . . . , 1) = 1; (A2) A è crescente in ogni componente.
Talks by Maddalena Manzi
Topics in Intelligent Engineering and Informatics, 2013
ABSTRACT This paper presents new results about T-supermodularity for Choquet integral. This prope... more ABSTRACT This paper presents new results about T-supermodularity for Choquet integral. This property was introduced in [17] in order to extend the concept of supermodularity for Choquet integral, by using Frank t-norms and considering the particular case of two membership functions such that their minimum is zero. Now we consider general membership functions and we use properties and links among belief measures, Möbius transform and Choquet integrals, in order to present the general case studied over a finite set.
Rocky Mountain Journal of Mathematics, 2014
Ultramodular binary copulas are discussed, i.e., copulas of a random vector whose components are ... more Ultramodular binary copulas are discussed, i.e., copulas of a random vector whose components are mutually stochastically decreasing with respect to each other. The additive generators of Archimedean ultramodular binary copulas are fully characterized. Finally, a new construction method for binary copulas based on n-ary ultramodular aggregation functions is proposed.
We study conditions under which Sugeno and Choquet integrals satisfy properties of T-(S-)evaluators.
A Shilkret-like integral based on an absolutely monotone and sign stable set function, m ∈ AMSS i... more A Shilkret-like integral based on an absolutely monotone and sign stable set function, m ∈ AMSS is introduced. We discuss main properties of this new integral.
2014 IEEE 12th International Symposium on Intelligent Systems and Informatics (SISY), 2014
2005 IEEE Design Symposium, Systems and Information Engineering, 2005
The Ballast Control system, part of the Vessel Management System (VMS), allows operators of an of... more The Ballast Control system, part of the Vessel Management System (VMS), allows operators of an offshore oil drilling platform to use the vessel's fluid control system to keep the vessel at an even keel. This procedure is critical during the drilling process and for the overall safety of the ship. Based on a heuristic evaluation of the ballast control operator interface for a vessel being commissioned, this paper describes a prototype which implements Human Computer Interface (HCI) design principles that were lacking in the original displays. The former design included elements of information overload, poor shape and coloring of icons, inconsistent layouts, and inadequate menu designs. We prototyped a simulation plus operator interface to explore improvements in these areas and for enabling future students in the US-Brazil exchange program to understand and build on the current design. This paper reviews the existing ballast control operator interface on the Pride do Rio oil drilling platform and describes the features of the new prototype simulation system.
Information Sciences, Jan 1, 2011
Note to users: The section "Articles in Press" contains peer reviewed a... more Note to users: The section "Articles in Press" contains peer reviewed accepted articles to be published in this journal. When the final article is assigned to an issue of the journal, the "Article in Press" version will be removed from this section and will appear in the associated ...
International Mathematical Forum, Jan 1, 2008
In this paper we present the extension of the copula approach to aggregation functions. In fact w... more In this paper we present the extension of the copula approach to aggregation functions. In fact we want to focus on a class of aggregation functions and present them in the multi linear form with marginal copulae. Moreover we will define also the joint aggregation density function.
dma.unive.it
This paper presents the construction of a new kind of evaluators, which are studied on a vector l... more This paper presents the construction of a new kind of evaluators, which are studied on a vector lattice. In particular, by using an important identity on a vector lattice, we prove a characterization of supermodular property and we construct supermodular evaluators, briefly named SM -evaluators. Then in a particular lattice SM -evaluators become aggregation functions. Similarly we construct ultramodular evaluators, briefly named U M -evaluators.
This paper presents the role of copula functions in the theory of aggregation operators and an ax... more This paper presents the role of copula functions in the theory of aggregation operators and an axiomatic characterization of Archimedean aggregation functions. In this context we are focusing our attention about several properties of aggregation functions, like supermodularity and Schur-concavity.
The mathematical concept of supermodularity is known in the literature for functions on a general... more The mathematical concept of supermodularity is known in the literature for functions on a general lattice, but in this paper we define supermodularity for aggregation functions. In particular supermodularity is the main axiom for bivariate copulas, which are a subclass of supermodular aggregation functions. A simple way to generalize the axiom of supermodularity for bivariate copulas is given by the concept of ultramodularity. So, we characterize Archimedean ultramodular copulas and we develop some connections with Choquet integral.
Working Papers, Jan 1, 2007
In this paper we present the extension of the copula approach to aggregation functions. In fact w... more In this paper we present the extension of the copula approach to aggregation functions. In fact we want to focus on a class of aggregation functions and present them in the multilinear form with marginal copulae. Moreover we will define also the joint aggregation density function.
Intelligent Systems and …, Jan 1, 2011
This paper is based on the investigation of a new property for Choquet integral: -supermodularity... more This paper is based on the investigation of a new property for Choquet integral: -supermodularity. With this definition we want to extend the property of supermodularity for Choquet integral with respect to a supermodular fuzzy measure, in particular by using Frank -norms.
Social Science Research Network (SSRN …, Jan 1, 2007
This paper presents the role of copula functions in the theory of aggregation operators. In this ... more This paper presents the role of copula functions in the theory of aggregation operators. In this context we are focusing our attention about several properties of aggregation functions, like supermodularity and Schur-concavity, studying also a decomposition of supermodular binary aggregation operators and copulae.
Computational Intelligence for …, Jan 1, 2010
Following the ideas of stronger forms of monotonicity for unary real functions and for capacities... more Following the ideas of stronger forms of monotonicity for unary real functions and for capacities, k-monotone and strongly kmonotone aggregation functions are introduced and discussed. In the special case k = 2 also some applications are given.
Working Papers, Jan 1, 2008
There exist necessary and sufficient conditions on the generating functions of the FGM family, in... more There exist necessary and sufficient conditions on the generating functions of the FGM family, in order to obtain various dependence properties. We present multivariate generalizations of this class studying symmetry and dependence concepts, measuring the dependence among the components of each class and providing several examples.
In molti campi ci troviamo di fronte al problema di aggregare un insieme di risultati numerici, p... more In molti campi ci troviamo di fronte al problema di aggregare un insieme di risultati numerici, per ottenere un determinato valore; ciò avviene non soltanto in matematica ed in fisica, ma anche nell'ingegneria e nella maggior parte delle scienze economiche e sociali. Le funzioni di aggregazione, pertanto, sono usate per ottenere un risultato globale per ogni alternativa che consideri determinati criteri, anche se i problemi d'aggregazione sono molto vasti ed eterogenei. Ci sono, ad esempio, molti contributi sull'aggregazione di un numero finito od infinito di inputs reali , su argomenti che trattano input su scala ordinale [32] o sul problema di aggregare input complessi (come le distribuzioni di probabilità [81, 91] o i fuzzy sets [105]). Le funzioni d'aggregazione, in particolare, giocano un ruolo importante nell'area dei processi decisionali, dove, infatti, i valori da aggregare sono tipicamente gradi di preferenza o di soddisfazione e, quindi, appartengono all'intervallo [0, 1]. Sia n ∈ N, n ≥ 2. Una funzione d'aggregazione n-aria è una mappa A da [0, 1] n in [0, 1], che soddisfa alle seguenti proprietà: (A1) A(0, . . . , 0) = 0 e A(1, . . . , 1) = 1; (A2) A è crescente in ogni componente.
Table of contents Part 1 Linear decomposition of the return Z Part 2 Compatibility problems Part ... more Table of contents Part 1 Linear decomposition of the return Z Part 2 Compatibility problems Part 3 Laplace Transformations Preliminaries Part I Linear decomposition of the return Z Linear decomposition of the return Z Starting point A return Z of a a managed portfolio can be decomposed in a passive component X and another one due to management decisions Y Z = X + Y Linear decomposition of the return Z Starting point A return Z of a a managed portfolio can be decomposed in a passive component X and another one due to management decisions Y Z = X + Y Linear decomposition of the return Z Starting point A return Z of a a managed portfolio can be decomposed in a passive component X and another one due to management decisions Y Z = X + Y Linear decomposition of the return Z Starting point A return Z of a a managed portfolio can be decomposed in a passive component X and another one due to management decisions Y Z = X + Y