Preferences and Decisions Under Incomplete Knowledge

by Fodor, Janos; Baets, Bernard De; Perny, Patrice

• ISBN13: 9783790813036
• ISBN10: 3790813036
• Format: Hardcover
• Copyright: 2000-05-01
• Publisher: Physica Verlag

Summary

Nowadays, decision problems are pervaded with incomplete knowledge, i.e., imprecision and/or uncertain information, both in the problem description and in the preferential information. In this volume leading scientists in the field address various theoretical and practical aspects related to the handling of this incompleteness. The problems discussed are taken from multi-objective linear programming, rationality considerations in preference modelling, non-probabilistic utility theory, data fusion, group decision making and multicriteria decision aid. The book is oriented towards researchers, graduate and postgraduate students in decision analysis, fuzzy sets and fuzzy logic, and operations research/management science.

Table of Contents

{P, Q, I, J} - Preference Structures	1	(10)
Philippe Vincke
Multi-Objective Fuzzy Linear Programming: The MOFAC Method	11	(22)
Philippe Fortemps
Jacques Teghem
An Extension of the Axioms of Utility Theory Based on Fuzzy Rationality Measures	33	(18)
Vincenzo Cutello
Javier Montero
Hybrid Probabilistic-Possibilistic Mixtures and Utility Functions	51	(24)
Didier Dubois
Endre Pap
Henri Prade
Additive Recursive Rules	75	(14)
Javier Montero
Ana del Amo
Elisenda Molina
Maximizing the Information Obtained from Data Fusion	89	(18)
Ronald R. Yager
Social Choice under Fuzziness: A Perspective	107	(24)
Hannu Nurmi
Janusz Kacprzyk
Fuzzy Extension of the Rough Set Approach to Multicriteria and Multiattribute Sorting	131	(22)
Salvatore Greco
Benedetto Matarazzo
Roman Slowinski
Behavioral Analysis of Aggregation in Multicriteria Decision Aid	153	(26)
Jean-Luc Marichal
To be Symmetric or Asymmetric? A Dilemma in Decision Making	179	(16)
Michel Grabisch
Christophe Labreuche
Monotone Functions on Finite Lattices: An Ordinal Approach to Capacities, Belief and Necessity Functions	195
Jean-Pierre Barthelemy