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Fundamentals of Uncertainty Calculi with Applications to Fuzzy Inference : Theory and Decision Library B - Michel Grabisch

Fundamentals of Uncertainty Calculi with Applications to Fuzzy Inference

Theory and Decision Library B

Hardcover Published: 30th November 1994
ISBN: 9780792331759
Number Of Pages: 350

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With the vision that machines can be rendered smarter, we have witnessed for more than a decade tremendous engineering efforts to implement intelligent sys­ tems. These attempts involve emulating human reasoning, and researchers have tried to model such reasoning from various points of view. But we know precious little about human reasoning processes, learning mechanisms and the like, and in particular about reasoning with limited, imprecise knowledge. In a sense, intelligent systems are machines which use the most general form of human knowledge together with human reasoning capability to reach decisions. Thus the general problem of reasoning with knowledge is the core of design methodology. The attempt to use human knowledge in its most natural sense, that is, through linguistic descriptions, is novel and controversial. The novelty lies in the recognition of a new type of un­ certainty, namely fuzziness in natural language, and the controversality lies in the mathematical modeling process. As R. Bellman [7] once said, decision making under uncertainty is one of the attributes of human intelligence. When uncertainty is understood as the impossi­ bility to predict occurrences of events, the context is familiar to statisticians. As such, efforts to use probability theory as an essential tool for building intelligent systems have been pursued (Pearl [203], Neapolitan [182)). The methodology seems alright if the uncertain knowledge in a given problem can be modeled as probability measures.

Industry Reviews

`It provides the foundations of uncertainty calculus that enables one to complement conventional system theory. ... I can highly recommend the book to those interested in the new developments in this interesting area and who are not afraid of some mathematics.'
International Journal of Electrical Engineering Education, 33:3 (1996)

Preface
Introductionp. 1
Modeling Uncertaintyp. 5
Capacities and the Choquet Functionalp. 17
Information Measuresp. 51
Calculus of Fuzzy Conceptsp. 67
Fuzzy Measures and Integralsp. 107
Decision Makingp. 173
Subjective Multicriteria Evaluationp. 213
Pattern Recognition and Computer Visionp. 261
Identification and Interpretation of Fuzzy Measuresp. 293
Bibliographyp. 321
Indexp. 343
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792331759
ISBN-10: 0792331753
Series: Theory and Decision Library B
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 350
Published: 30th November 1994
Publisher: SPRINGER VERLAG GMBH
Country of Publication: NL
Dimensions (cm): 23.39 x 15.6  x 2.06
Weight (kg): 0.69

Earn 678 Qantas Points
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