CISM COURSES AND LECTURES

Series Editors:

The RectorsGiulio Maier - Milan

Jean Salençon - PalaiseauWilhelm Schneider - Wien

The Secretary GeneralBernhard Schrefler - Padua

Executive EditorPaolo Serafini - Udine

The series presents lecture notes, monographs, edited works andproceedings in the field of Mechanics, Engineering, Computer Science

and Applied Mathematics.Purpose of the series is to make known in the international scientificand technical community results obtained in some of the activities

organized by CISM, the International Centre for Mechanical Sciences.

INTERNATIONAL CENTRE FOR MECHANICAL SCIENCES

COURSES AND LECTURES - No. 504

PREFERENCES AND SIMILARITIES

EDITED BY

GIACOMO DELLA RICCIA UNIVERSITY OF UDINE

DIDIER DUBOISUNIVERSITY OF TOULOUSE

RUDOLF KRUSEUNIVERSITY OF MAGDEBURG

HANS-JOACHIM LENZFREIE UNIVERSITӒT BERLIN

This volume contains 29 illustrations

This work is subject to copyright.All rights are reserved,

whether the whole or part of the material is concernedspecifically those of translation, reprinting, re-use of illustrations,

broadcasting, reproduction by photocopying machineor similar means, and storage in data banks.

© 2008 by CISM, UdinePrinted in ItalySPIN 12510191

All contributions have been typeset by the authors.

ISBN 978-3-211-85431-0 SpringerWienNewYork

2 Bernard De Baets

Similarity of Fuzzy Sets and Dominance of Random Variables 3

4 Bernard De Baets

Similarity of Fuzzy Sets and Dominance of Random Variables 5

6 Bernard De Baets

Similarity of Fuzzy Sets and Dominance of Random Variables 7

8 Bernard De Baets

Similarity of Fuzzy Sets and Dominance of Random Variables 9

10 Bernard De Baets

Similarity of Fuzzy Sets and Dominance of Random Variables 11

12 Bernard De Baets

Similarity of Fuzzy Sets and Dominance of Random Variables 13

14 Bernard De Baets

Similarity of Fuzzy Sets and Dominance of Random Variables 15

16 Bernard De Baets

Similarity of Fuzzy Sets and Dominance of Random Variables 17

18 Bernard De Baets

Similarity of Fuzzy Sets and Dominance of Random Variables 19

20 Bernard De Baets