Fuzzy Sets Theory and Applications

Front Cover
André Jones, Arnold Kaufmann, Hans-Jürgen Zimmermann
Springer Science & Business Media, Jun 30, 1986 - Mathematics - 403 pages
0 Reviews
Problems in decision making and in other areas such as pattern recogni tion, control, structural engineering etc. involve numerous aspects of uncertainty. Additional vagueness is introduced as models become more complex but not necessarily more meaningful by the added details. During the last two decades one has become more and more aware of the fact that not all this uncertainty is of stochastic (random) cha racter and that, therefore, it can not be modelled appropriately by probability theory. This becomes the more obvious the more we want to represent formally human knowledge. As far as uncertain data are concerned, we have neither instru ments nor reasoning at our disposal as well defined and unquestionable as those used in the probability theory. This almost infallible do main is the result of a tremendous work by the whole scientific world. But when measures are dubious, bad or no longer possible and when we really have to make use of the richness of human reasoning in its variety, then the theories dealing with the treatment of uncertainty, some quite new and other ones older, provide the required complement, and fill in the gap left in the field of knowledge representation. Nowadays, various theories are widely used: fuzzy sets, belief function, the convenient associations between probability and fuzzines~ etc ••• We are more and more in need of a wide range of instruments and theories to build models that are more and more adapted to the most complex systems.
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

MATHEMATICS AND FUZZINESS
3
RADONNIKODYM THEOREM FOR FUZZY SETVALUED MEASURES
39
CONSTRUCTION OF A PROBABILITY DISTRIBUTION FROM A FUZZY INFORMATION
51
CONVOLUTION OF FUZZYNESS AND PROBABILITY
61
FUZZY SETS AND SUBOBJECTS
69
From theory to applications
77
Outline of a Theory of Usuality Based on Fuzzy Logic
79
FUZZY SET THEORY AND MATHEMATICAL PROGRAMMING
99
METHODOLOGY AND APPLICATIONS Elie Sanchez
213
Various particular applications
231
MULTI CRITERIA DECISION MAKING IN CRISP AND FUZZY ENVIRONMENTS
233
FUZZY SUBSETS APPLICATIONS IN OR AND MANAGEMENT
257
CHARACTER RECOGNITION BY MEANH OF FUZZY SET REASONING
301
COMPUTERIZED ELECTROCARDIOGRAPH AND FUZZY SETS
317
MEDICAL APPLICATIONS WITH FUZZY SETS
331
FUZZY SUBSETS IN DIDACTIC PROCESSES
349

DECISIONS WITH USUAL VALUES
115
SUPPORT LOGIC PROGRAMMING
133
VARIABLES
171

Other editions - View all

Common terms and phrases

References to this book

All Book Search results »

Bibliographic information