Statistical Modeling, Analysis and Management of Fuzzy Data

Carlo Bertoluzza

ISBN 10: 3790814407 / ISBN 13: 9783790814408

Verlag: Physica-Verlag HD, 2002

Beschreibung

nach der Bestellung gedruckt Neuware - Printed after ordering - 'Statistical Modeling, Analysis and Management of Fuzzy Data,' or SMFD for short, is an important contribution to a better understanding of a basic issue -an issue which has been controversial, and still is though to a lesser degree. In substance, the issue is: are fuzziness and randomness distinct or coextensive facets of uncertainty Are the theories of fuzziness and random ness competitive or complementary In SMFD, these and related issues are addressed with rigor, authority and insight by prominent contributors drawn, in the main, from probability theory, fuzzy set theory and data analysis com munities. First, a historical perspective. The almost simultaneous births -close to half a century ago-of statistically-based information theory and cybernetics were two major events which marked the beginning of the steep ascent of probability theory and statistics in visibility, influence and importance. I was a student when information theory and cybernetics were born, and what is etched in my memory are the fascinating lectures by Shannon and Wiener in which they sketched their visions of the coming era of machine intelligence and automation of reasoning and decision processes. What I heard in those lectures inspired one of my first papers (1950) 'An Extension of Wiener's Theory of Prediction,' and led to my life-long interest in probability theory and its applications to information processing, decision analysis and control.

Bestandsnummer des Verkäufers 9783790814408

Bibliografische Details

• Titel: Statistical Modeling, Analysis and Management of Fuzzy Data
• Verlag: Physica-Verlag HD
• Erscheinungsjahr: 2002
• Sprache: Englisch
• ISBN-10: 3790814407
• ISBN-13: 9783790814408
• Einband: Buch
• Zustand: Neu

Über diesen Titel

Inhaltsangabe

The contributions in this book state the complementary rather than competitive relationship between Probability and Fuzzy Set Theory and allow solutions to real life problems with suitable combinations of both theories.

Von der hinteren Coverseite

The contributions in this book connect Probability Theory/Statistics and Fuzzy Set Theory in different ways. Some of these connections are either philosophical or theoretical in nature, but most of them state models and methods to work with fuzzy data (or fuzzy perception) when dealing with random experiments. In this way, several probabilistic studies are developed, as well as techniques and criteria to get descriptive and inferential statistical conclusions from fuzzy data. On the other hand, some studies have been devoted to fuzzy measures and their relationship with measures in Probability Theory.