Maddalena Manzi - Profile on Academia.edu (original) (raw)
Papers by Maddalena Manzi
Fuzzy Sets and Systems, 2015
We prove that total monotonicity of monotone measures is a sufficient (but not necessary) conditi... more We prove that total monotonicity of monotone measures is a sufficient (but not necessary) condition for T -supermodularity of Choquet integral. Moreover, we show that total monotonicity does not imply, in general, supermodularity of the integral, when we consider the symmetric Choquet integral or the Sugeno integral. Finally, we also prove that, for the Choquet integral, T -supermodularity implies supermodularity, when T is the product t-norm, and it is equivalent to supermodularity, when T is the Łuckasiewicz t-norm.
Aggregation
Aggregation functions: an approach using copulae Working Paper n. 159/2007
Multivariate dependence modeling using
copulas
Bivariate copula-based aggregation operators
Multivariate dependence modelling with copulas
In the last few decades the Choquet integral and the Sugeno integral have had several application... more In the last few decades the Choquet integral and the Sugeno integral have had several applications in many fields of mathematics, soft computing, pattern recognition and decision analysis [4, 5, 7, 17, 21]. It shows up in the recently published papers that some new types of integrals on symmetric scales are useful tools for applications in decision making problems [6, 8, 12, 21]. The Sugeno integral has been introduced by M. Sugeno in [20] and for an A-measurable function f : X → [0, 1] is defined by
We study supermodular property for normalized scalar evaluators on a complete vector lattice, whi... more We study supermodular property for normalized scalar evaluators on a complete vector lattice, which is not necessarily of finite dimension. Then we consider the particular case of [0,1]^n.
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.
Working Papers, 2006
If you experience problems downloading a file, check if you have the proper application to view i... more If you experience problems downloading a file, check if you have the proper application to view it first. Information about this may be contained in the File-Format links below. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. ...
Fuzzy Sets and Systems, 2015
We prove that total monotonicity of monotone measures is a sufficient (but not necessary) conditi... more We prove that total monotonicity of monotone measures is a sufficient (but not necessary) condition for T -supermodularity of Choquet integral. Moreover, we show that total monotonicity does not imply, in general, supermodularity of the integral, when we consider the symmetric Choquet integral or the Sugeno integral. Finally, we also prove that, for the Choquet integral, T -supermodularity implies supermodularity, when T is the product t-norm, and it is equivalent to supermodularity, when T is the Łuckasiewicz t-norm.
Choquet Integrals and T-Supermodularity
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.
http://paduaresearch.cab.unipd.it/3438/1/TESIMANZI.pdf
Characterization of TS-measures
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.
Pseudo-supermodularity for the Choquet-like integrals
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.
Ultramodular aggregation functions
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.
Fuzzy Sets and Systems, 2015
We prove that total monotonicity of monotone measures is a sufficient (but not necessary) conditi... more We prove that total monotonicity of monotone measures is a sufficient (but not necessary) condition for T -supermodularity of Choquet integral. Moreover, we show that total monotonicity does not imply, in general, supermodularity of the integral, when we consider the symmetric Choquet integral or the Sugeno integral. Finally, we also prove that, for the Choquet integral, T -supermodularity implies supermodularity, when T is the product t-norm, and it is equivalent to supermodularity, when T is the Łuckasiewicz t-norm.
Aggregation
Aggregation functions: an approach using copulae Working Paper n. 159/2007
Multivariate dependence modeling using
copulas
Bivariate copula-based aggregation operators
Multivariate dependence modelling with copulas
In the last few decades the Choquet integral and the Sugeno integral have had several application... more In the last few decades the Choquet integral and the Sugeno integral have had several applications in many fields of mathematics, soft computing, pattern recognition and decision analysis [4, 5, 7, 17, 21]. It shows up in the recently published papers that some new types of integrals on symmetric scales are useful tools for applications in decision making problems [6, 8, 12, 21]. The Sugeno integral has been introduced by M. Sugeno in [20] and for an A-measurable function f : X → [0, 1] is defined by
We study supermodular property for normalized scalar evaluators on a complete vector lattice, whi... more We study supermodular property for normalized scalar evaluators on a complete vector lattice, which is not necessarily of finite dimension. Then we consider the particular case of [0,1]^n.
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.
Working Papers, 2006
If you experience problems downloading a file, check if you have the proper application to view i... more If you experience problems downloading a file, check if you have the proper application to view it first. Information about this may be contained in the File-Format links below. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. ...
Fuzzy Sets and Systems, 2015
We prove that total monotonicity of monotone measures is a sufficient (but not necessary) conditi... more We prove that total monotonicity of monotone measures is a sufficient (but not necessary) condition for T -supermodularity of Choquet integral. Moreover, we show that total monotonicity does not imply, in general, supermodularity of the integral, when we consider the symmetric Choquet integral or the Sugeno integral. Finally, we also prove that, for the Choquet integral, T -supermodularity implies supermodularity, when T is the product t-norm, and it is equivalent to supermodularity, when T is the Łuckasiewicz t-norm.
Choquet Integrals and T-Supermodularity
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.
http://paduaresearch.cab.unipd.it/3438/1/TESIMANZI.pdf
Characterization of TS-measures
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.
Pseudo-supermodularity for the Choquet-like integrals
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.
Ultramodular aggregation functions
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.
SUPERMODULAR AGGREGATION EVALUATORS
NEW CONSTRUCTION METHODS FOR COPULAS
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
