11 Search Results for "Greco, Salvatore"


Document
Understanding Complexity in Multiobjective Optimization (Dagstuhl Seminar 15031)

Authors: Salvatore Greco, Kathrin Klamroth, Joshua D. Knowles, and Günter Rudolph

Published in: Dagstuhl Reports, Volume 5, Issue 1 (2015)


Abstract
This report documents the program and outcomes of the Dagstuhl Seminar 15031 Understanding Complexity in Multiobjective Optimization. This seminar carried on the series of four previous Dagstuhl Seminars (04461, 06501, 09041 and 12041) that were focused on Multiobjective Optimization, and strengthening the links between the Evolutionary Multiobjective Optimization (EMO) and Multiple Criteria Decision Making (MCDM) communities. The purpose of the seminar was to bring together researchers from the two communities to take part in a wide-ranging discussion about the different sources and impacts of complexity in multiobjective optimization. The outcome was a clarified viewpoint of complexity in the various facets of multiobjective optimization, leading to several research initiatives with innovative approaches for coping with complexity.

Cite as

Salvatore Greco, Kathrin Klamroth, Joshua D. Knowles, and Günter Rudolph. Understanding Complexity in Multiobjective Optimization (Dagstuhl Seminar 15031). In Dagstuhl Reports, Volume 5, Issue 1, pp. 96-163, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)


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@Article{greco_et_al:DagRep.5.1.96,
  author =	{Greco, Salvatore and Klamroth, Kathrin and Knowles, Joshua D. and Rudolph, G\"{u}nter},
  title =	{{Understanding Complexity in Multiobjective Optimization (Dagstuhl Seminar 15031)}},
  pages =	{96--163},
  journal =	{Dagstuhl Reports},
  ISSN =	{2192-5283},
  year =	{2015},
  volume =	{5},
  number =	{1},
  editor =	{Greco, Salvatore and Klamroth, Kathrin and Knowles, Joshua D. and Rudolph, G\"{u}nter},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagRep.5.1.96},
  URN =		{urn:nbn:de:0030-drops-50373},
  doi =		{10.4230/DagRep.5.1.96},
  annote =	{Keywords: multiple criteria decision making, evolutionary multiobjective optimization}
}
Document
Learning in Multiobjective Optimization (Dagstuhl Seminar 12041)

Authors: Salvatore Greco, Joshua D. Knowles, Kaisa Miettinen, and Eckart Zitzler

Published in: Dagstuhl Reports, Volume 2, Issue 1 (2012)


Abstract
This report documents the programme and outcomes of the Dagstuhl Seminar 12041 "Learning in Multiobjective Optimization". The purpose of the seminar was to bring together researchers from the two main communities studying multiobjective optimization, Multiple Criteria Decision Making and Evolutionary Multiobjective Optimization, to take part in a wide-ranging discussion of what constitutes learning in multiobjective optimization, how it can be facilitated, and how it can be measured. The outcome was a deeper, more integrated understanding of the whole problem-solving process in multiobjective optimization from the viewpoint of learning, and several concrete research projects directly addressing different aspects of learning.

Cite as

Salvatore Greco, Joshua D. Knowles, Kaisa Miettinen, and Eckart Zitzler. Learning in Multiobjective Optimization (Dagstuhl Seminar 12041). In Dagstuhl Reports, Volume 2, Issue 1, pp. 50-99, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2012)


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@Article{greco_et_al:DagRep.2.1.50,
  author =	{Greco, Salvatore and Knowles, Joshua D. and Miettinen, Kaisa and Zitzler, Eckart},
  title =	{{Learning in Multiobjective Optimization (Dagstuhl Seminar 12041)}},
  pages =	{50--99},
  journal =	{Dagstuhl Reports},
  ISSN =	{2192-5283},
  year =	{2012},
  volume =	{2},
  number =	{1},
  editor =	{Greco, Salvatore and Knowles, Joshua D. and Miettinen, Kaisa and Zitzler, Eckart},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagRep.2.1.50},
  URN =		{urn:nbn:de:0030-drops-34575},
  doi =		{10.4230/DagRep.2.1.50},
  annote =	{Keywords: multiple criteria decision making, evolutionary multiobjective optimization}
}
Document
09041 Abstracts Collection – Hybrid and Robust Approaches to Multiobjective Optimization

Authors: Salvatore Greco, Kalyanmoy Deb, Kaisa Miettinen, and Eckart Zitzler

Published in: Dagstuhl Seminar Proceedings, Volume 9041, Hybrid and Robust Approaches to Multiobjective Optimization (2009)


Abstract
The seminar "Hybrid and Robust Approaches to Multiobjective Optimization" was a sequel to two previous Dagstuhl seminars (04461 in 2004 and 06501 in 2006). The main idea of this seminar series has been to bring together two contemporary fields related to multiobjective optimization – Evolutionary Multiobjective Optimization (EMO) and Multiple Criteria Decision Making (MCDM) -- to discuss critical research and application issues for bringing the entire field further and for fostering future collaboration. This particular seminar was participated by 53 researchers actively working in multiobjective optimization. The purpose of the seminar was to discuss two fundamental research topics related to multiobjective optimization: interactive methods requiring optimization and decision making aspects to be integrated for a practical implementation and robust multiobjective methodologies dealing with uncertainties in problem parameters, objectives, constraints and algorithms. The seminar was structured to have more emphasis on working group discussions, rather than individual presentations, so that the open and free environment and facilities of Schloss Dagstuhl could be fully utilized.

Cite as

Salvatore Greco, Kalyanmoy Deb, Kaisa Miettinen, and Eckart Zitzler. 09041 Abstracts Collection – Hybrid and Robust Approaches to Multiobjective Optimization. In Hybrid and Robust Approaches to Multiobjective Optimization. Dagstuhl Seminar Proceedings, Volume 9041, pp. 1-10, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2009)


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@InProceedings{greco_et_al:DagSemProc.09041.1,
  author =	{Greco, Salvatore and Deb, Kalyanmoy and Miettinen, Kaisa and Zitzler, Eckart},
  title =	{{09041 Abstracts Collection – Hybrid and Robust Approaches to Multiobjective Optimization}},
  booktitle =	{Hybrid and Robust Approaches to Multiobjective Optimization},
  pages =	{1--10},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2009},
  volume =	{9041},
  editor =	{Kalyanmoy Deb and Salvatore Greco and Kaisa Miettinen and Eckart Zitzler},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.09041.1},
  URN =		{urn:nbn:de:0030-drops-20069},
  doi =		{10.4230/DagSemProc.09041.1},
  annote =	{Keywords: Multi-objective optimization, multiple criteria decision making, evolutionary multi-objective optimization, robust optimization, interactive optimization}
}
Document
09041 Summary – Hybrid and Robust Approaches to Multiobjective Optimization

Authors: Kalyanmoy Deb, Salvatore Greco, Kaisa Miettinen, and Eckart Zitzler

Published in: Dagstuhl Seminar Proceedings, Volume 9041, Hybrid and Robust Approaches to Multiobjective Optimization (2009)


Abstract
The seminar “Hybrid and Robust Approaches to Multiobjective Optimization” was a sequel to two previous Dagstuhl seminars (04461 in 2004 and 06501 in 2006). The main idea of this seminar series has been to bring together two contemporary fields related to multiobjective optimization – Evolutionary Multiobjective Optimization (EMO) and Multiple Criteria Decision Making (MCDM) – to discuss critical research and application issues for bringing the entire field further and for fostering future collaboration. This particular seminar was participated by 53 researchers actively working in multiobjective optimization. The purpose of the seminar was to discuss two fundamental research topics related to multiobjective optimization: interactive methods requiring optimization and decision making aspects to be integrated for a practical implementation and robust multiobjective methodologies dealing with uncertainties in problem parameters, objectives, constraints and algorithms. The seminar was structured to have more emphasis on working group discussions, rather than individual presentations, so that the open and free environment and facilities of Schloss Dagstuhl could be fully utilized.

Cite as

Kalyanmoy Deb, Salvatore Greco, Kaisa Miettinen, and Eckart Zitzler. 09041 Summary – Hybrid and Robust Approaches to Multiobjective Optimization. In Hybrid and Robust Approaches to Multiobjective Optimization. Dagstuhl Seminar Proceedings, Volume 9041, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2009)


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@InProceedings{deb_et_al:DagSemProc.09041.2,
  author =	{Deb, Kalyanmoy and Greco, Salvatore and Miettinen, Kaisa and Zitzler, Eckart},
  title =	{{09041 Summary – Hybrid and Robust Approaches to Multiobjective Optimization}},
  booktitle =	{Hybrid and Robust Approaches to Multiobjective Optimization},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2009},
  volume =	{9041},
  editor =	{Kalyanmoy Deb and Salvatore Greco and Kaisa Miettinen and Eckart Zitzler},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.09041.2},
  URN =		{urn:nbn:de:0030-drops-20054},
  doi =		{10.4230/DagSemProc.09041.2},
  annote =	{Keywords: Multi-objective optimization, multiple criteria decision making, evolutionary multi-objective optimization, robust optimization, interactive optimization}
}
Document
09041 Working Group 4: MCDM and RIMO

Authors: Matthias Ehrgott, Jussi Hakanen, Hisao Ishibuchi, Andreas Loehne, Mariano Luque, Kaisa Miettinen, Wlodek Ogryczak, Olexandr Romanko, Theodor J. Stewart, and Andrzej Wierzbicki

Published in: Dagstuhl Seminar Proceedings, Volume 9041, Hybrid and Robust Approaches to Multiobjective Optimization (2009)


Abstract
We were looking at robustness and related issues in the context of interactive MCDM, in different stages of the decision process.

Cite as

Matthias Ehrgott, Jussi Hakanen, Hisao Ishibuchi, Andreas Loehne, Mariano Luque, Kaisa Miettinen, Wlodek Ogryczak, Olexandr Romanko, Theodor J. Stewart, and Andrzej Wierzbicki. 09041 Working Group 4: MCDM and RIMO. In Hybrid and Robust Approaches to Multiobjective Optimization. Dagstuhl Seminar Proceedings, Volume 9041, pp. 1-5, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2009)


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@InProceedings{ehrgott_et_al:DagSemProc.09041.3,
  author =	{Ehrgott, Matthias and Hakanen, Jussi and Ishibuchi, Hisao and Loehne, Andreas and Luque, Mariano and Miettinen, Kaisa and Ogryczak, Wlodek and Romanko, Olexandr and Stewart, Theodor J. and Wierzbicki, Andrzej},
  title =	{{09041 Working Group 4: MCDM and RIMO}},
  booktitle =	{Hybrid and Robust Approaches to Multiobjective Optimization},
  pages =	{1--5},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2009},
  volume =	{9041},
  editor =	{Kalyanmoy Deb and Salvatore Greco and Kaisa Miettinen and Eckart Zitzler},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.09041.3},
  URN =		{urn:nbn:de:0030-drops-20016},
  doi =		{10.4230/DagSemProc.09041.3},
  annote =	{Keywords: Interactive methods, robustness, MCDM, objectivity, subjectivity}
}
Document
09041 Working Group on EMO for Interactive Multiobjective Optimization (1st Round)

Authors: Fonseca Carlos, Xavier Gandibleux, Pekka Korhonen, Luis Marti, Boris Naujoks, Lothar Thiele, Wallenius Jyrki, and Eckart Zitzler

Published in: Dagstuhl Seminar Proceedings, Volume 9041, Hybrid and Robust Approaches to Multiobjective Optimization (2009)


Abstract
This group explored the use of EMO in an interactive manner to solve multiobjective optimization problems.

Cite as

Fonseca Carlos, Xavier Gandibleux, Pekka Korhonen, Luis Marti, Boris Naujoks, Lothar Thiele, Wallenius Jyrki, and Eckart Zitzler. 09041 Working Group on EMO for Interactive Multiobjective Optimization (1st Round). In Hybrid and Robust Approaches to Multiobjective Optimization. Dagstuhl Seminar Proceedings, Volume 9041, pp. 1-11, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2009)


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@InProceedings{fonsecacarlos_et_al:DagSemProc.09041.4,
  author =	{Fonseca Carlos and Gandibleux, Xavier and Korhonen, Pekka and Marti, Luis and Naujoks, Boris and Thiele, Lothar and Wallenius Jyrki and Zitzler, Eckart},
  title =	{{09041 Working Group on EMO for Interactive Multiobjective Optimization (1st Round)}},
  booktitle =	{Hybrid and Robust Approaches to Multiobjective Optimization},
  pages =	{1--11},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2009},
  volume =	{9041},
  editor =	{Kalyanmoy Deb and Salvatore Greco and Kaisa Miettinen and Eckart Zitzler},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.09041.4},
  URN =		{urn:nbn:de:0030-drops-20041},
  doi =		{10.4230/DagSemProc.09041.4},
  annote =	{Keywords: Interactive multiobjective optimization}
}
Document
09041 Working Group on EMO for Robust Multiobjective Optimization (1st Round)

Authors: Joerg Fliege, Nicola Beume, Juergen Branke, Heinrich Braun, Nirupam Chakraborti, Kalyanmoy Deb, Sabine Helwig, Joshua Knowles, Martin Middendorf, Sanaz Mostaghim, Silvia Poles, Salazar Daniel, Shukla Pradymn, and El-Ghazli Talbi

Published in: Dagstuhl Seminar Proceedings, Volume 9041, Hybrid and Robust Approaches to Multiobjective Optimization (2009)


Abstract
This group explored various robust methodologies for multiobjective optimization.

Cite as

Joerg Fliege, Nicola Beume, Juergen Branke, Heinrich Braun, Nirupam Chakraborti, Kalyanmoy Deb, Sabine Helwig, Joshua Knowles, Martin Middendorf, Sanaz Mostaghim, Silvia Poles, Salazar Daniel, Shukla Pradymn, and El-Ghazli Talbi. 09041 Working Group on EMO for Robust Multiobjective Optimization (1st Round). In Hybrid and Robust Approaches to Multiobjective Optimization. Dagstuhl Seminar Proceedings, Volume 9041, pp. 1-5, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2009)


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@InProceedings{fliege_et_al:DagSemProc.09041.5,
  author =	{Fliege, Joerg and Beume, Nicola and Branke, Juergen and Braun, Heinrich and Chakraborti, Nirupam and Deb, Kalyanmoy and Helwig, Sabine and Knowles, Joshua and Middendorf, Martin and Mostaghim, Sanaz and Poles, Silvia and Salazar Daniel and Shukla Pradymn and Talbi, El-Ghazli},
  title =	{{09041 Working Group on EMO for Robust Multiobjective Optimization (1st Round)}},
  booktitle =	{Hybrid and Robust Approaches to Multiobjective Optimization},
  pages =	{1--5},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2009},
  volume =	{9041},
  editor =	{Kalyanmoy Deb and Salvatore Greco and Kaisa Miettinen and Eckart Zitzler},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.09041.5},
  URN =		{urn:nbn:de:0030-drops-20030},
  doi =		{10.4230/DagSemProc.09041.5},
  annote =	{Keywords: Robust multiobjective optimization}
}
Document
09041 Working Group on MCDM for Robust Multiobjective Optimization (1st Round)

Authors: Jos Figueira, Martin Geiger, Salvatore Greco, Johannes Jahn, Kathrin Klamroth, Masahiro Inuiguchi, Vincent Mousseau, Sayin Serpil, Roman Slowinski, Margaret M. Wiecek, and Witting Katrin

Published in: Dagstuhl Seminar Proceedings, Volume 9041, Hybrid and Robust Approaches to Multiobjective Optimization (2009)


Abstract
This group explored MCDM techniques for robust multiobjective optimization.

Cite as

Jos Figueira, Martin Geiger, Salvatore Greco, Johannes Jahn, Kathrin Klamroth, Masahiro Inuiguchi, Vincent Mousseau, Sayin Serpil, Roman Slowinski, Margaret M. Wiecek, and Witting Katrin. 09041 Working Group on MCDM for Robust Multiobjective Optimization (1st Round). In Hybrid and Robust Approaches to Multiobjective Optimization. Dagstuhl Seminar Proceedings, Volume 9041, pp. 1-2, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2009)


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@InProceedings{figueira_et_al:DagSemProc.09041.6,
  author =	{Figueira, Jos and Geiger, Martin and Greco, Salvatore and Jahn, Johannes and Klamroth, Kathrin and Inuiguchi, Masahiro and Mousseau, Vincent and Sayin Serpil and Slowinski, Roman and Wiecek, Margaret M. and Witting Katrin},
  title =	{{09041 Working Group on MCDM for Robust Multiobjective Optimization (1st Round)}},
  booktitle =	{Hybrid and Robust Approaches to Multiobjective Optimization},
  pages =	{1--2},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2009},
  volume =	{9041},
  editor =	{Kalyanmoy Deb and Salvatore Greco and Kaisa Miettinen and Eckart Zitzler},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.09041.6},
  URN =		{urn:nbn:de:0030-drops-20025},
  doi =		{10.4230/DagSemProc.09041.6},
  annote =	{Keywords: Robust multiobjective optimization}
}
Document
A Polynomial Chaos Approach to Robust Multiobjective Optimization

Authors: Silvia Poles and Alberto Lovison

Published in: Dagstuhl Seminar Proceedings, Volume 9041, Hybrid and Robust Approaches to Multiobjective Optimization (2009)


Abstract
Robust design optimization is a modeling methodology, combined with a suite of computational tools, which is aimed to solve problems where some kind of uncertainty occurs in the data or in the model. This paper explores robust optimization complexity in the multiobjective case, describing a new approach by means of Polynomial Chaos expansions (PCE). The aim of this paper is to demonstrate that the use of PCE may help and speed up the optimization process if compared to standard approaches such as Monte Carlo and Latin Hypercube sampling.

Cite as

Silvia Poles and Alberto Lovison. A Polynomial Chaos Approach to Robust Multiobjective Optimization. In Hybrid and Robust Approaches to Multiobjective Optimization. Dagstuhl Seminar Proceedings, Volume 9041, pp. 1-15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2009)


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@InProceedings{poles_et_al:DagSemProc.09041.7,
  author =	{Poles, Silvia and Lovison, Alberto},
  title =	{{A Polynomial Chaos Approach to Robust Multiobjective Optimization}},
  booktitle =	{Hybrid and Robust Approaches to Multiobjective Optimization},
  pages =	{1--15},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2009},
  volume =	{9041},
  editor =	{Kalyanmoy Deb and Salvatore Greco and Kaisa Miettinen and Eckart Zitzler},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.09041.7},
  URN =		{urn:nbn:de:0030-drops-20009},
  doi =		{10.4230/DagSemProc.09041.7},
  annote =	{Keywords: Uncertainty Quantification, Multiobjective Robust Design, Monte Carlo, Latin Hypercube, Polynomial Chaos}
}
Document
Decomposition and Coordination for Multiobjective Complex Systems

Authors: Margaret M. Wiecek and Melissa Gardenghi

Published in: Dagstuhl Seminar Proceedings, Volume 9041, Hybrid and Robust Approaches to Multiobjective Optimization (2009)


Abstract
Complex systems are modeled as collections of multiobjective programs each representing a subsystem (or component) of the overall system. The subsystems interact with each other in various ways adding to the complexity of the overall problem. Since the calculation of efficient sets of these complex systems presents a challenging problem, it is desirable to decompose the overall system into component multiobjective programs that are more easily solvable and then construct the efficient set of the overall system. Selected cases of complex system are presented and relationships between their efficient sets the efficient sets of their subsystems are given.

Cite as

Margaret M. Wiecek and Melissa Gardenghi. Decomposition and Coordination for Multiobjective Complex Systems. In Hybrid and Robust Approaches to Multiobjective Optimization. Dagstuhl Seminar Proceedings, Volume 9041, pp. 1-9, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2009)


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@InProceedings{wiecek_et_al:DagSemProc.09041.8,
  author =	{Wiecek, Margaret M. and Gardenghi, Melissa},
  title =	{{Decomposition and Coordination for Multiobjective Complex Systems}},
  booktitle =	{Hybrid and Robust Approaches to Multiobjective Optimization},
  pages =	{1--9},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2009},
  volume =	{9041},
  editor =	{Kalyanmoy Deb and Salvatore Greco and Kaisa Miettinen and Eckart Zitzler},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.09041.8},
  URN =		{urn:nbn:de:0030-drops-19992},
  doi =		{10.4230/DagSemProc.09041.8},
  annote =	{Keywords: Multiobjective programs, complex systems, efficient set, decomposition, coordination}
}
Document
Multi-criteria ranking of a finite set of alternatives using ordinal regression and additive utility functions - a new UTA-GMS method

Authors: Roman Slowinski, Salvatore Greco, and Vincent Mousseau

Published in: Dagstuhl Seminar Proceedings, Volume 4461, Practical Approaches to Multi-Objective Optimization (2005)


Abstract
UTA-GMS is a new method for assessment of strong or weak outranking relation in a problem of multi-criteria ranking, proposed by the authors. The ranking concerns a finite but relatively large set of alternatives A. We assume indirect preference information supplied by the decision maker (DM) in form of a complete preorder on a subset of reference alternatives R, called reference preorder. The preference model build from this information is an additive value function. The technique of passing from reference preorder to compatible additive value functions is called ordinal regression and it is well known from the UTA method proposed by Jacquet-Lagreze and Siskos in 1982. Unlike in the UTA method, we take into account all compatible value functions (instead of one or several most characteristic) at the stage of ranking the whole set A of alternatives. Moreover, we do not impose the additive value function to have piecewise-linear components but we accept any additive form. The resulting relations in A are twofold: strong outranking (if alternative x has greater value than y for all compatible value functions) and weak outranking (if alternative x has greater value than y for at least one compatible value function). Strong outranking is a partial preorder and weak outranking is a complete preorder in A. The strong outranking is of particular interest for the DM – it corresponds to dominance relation when the set of reference alternatives is empty, and to a complete preorder relation when the reference ranking is compatible with a single value function only. This approach has several interesting extensions useful for practical applications. The method has been implemented for a PC and will be presented together with an example of application.

Cite as

Roman Slowinski, Salvatore Greco, and Vincent Mousseau. Multi-criteria ranking of a finite set of alternatives using ordinal regression and additive utility functions - a new UTA-GMS method. In Practical Approaches to Multi-Objective Optimization. Dagstuhl Seminar Proceedings, Volume 4461, pp. 1-4, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2005)


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@InProceedings{slowinski_et_al:DagSemProc.04461.12,
  author =	{Slowinski, Roman and Greco, Salvatore and Mousseau, Vincent},
  title =	{{Multi-criteria ranking of a finite set of alternatives using ordinal regression and additive utility functions - a new UTA-GMS method}},
  booktitle =	{Practical Approaches to Multi-Objective Optimization},
  pages =	{1--4},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2005},
  volume =	{4461},
  editor =	{J\"{u}rgen Branke and Kalyanmoy Deb and Kaisa Miettinen and Ralph E. Steuer},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.04461.12},
  URN =		{urn:nbn:de:0030-drops-2476},
  doi =		{10.4230/DagSemProc.04461.12},
  annote =	{Keywords: Multiple-criteria ranking, ordinal regression, partial preorder, UTA-like method}
}
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