2004, ISBN: 9783642092176

It was generally believed that the study of probability theory was started by Pascal and Fermat in 1654 when they succeeded in deriving the exact probabilitiesforcertaingamblingproblem. G… Mehr…

It was generally believed that the study of probability theory was started by Pascal and Fermat in 1654 when they succeeded in deriving the exact probabilitiesforcertaingamblingproblem. Greatprogresswasachievedwhen VonMisesinitializedtheconceptofsamplespace, and?lledthegapebetween probability theory and measure theory in 1931. An axiomatic foundation of probabilitytheorywasgivenbyKolmogoro?inhisFoundationsofProbability Theory of 1933. Since then, probability theory has been developed steadily and has been widely applied in science and engineering. Probability theory will be introduced in Chapter 2. Fuzzy set was initiated by Zadeh via membership function in 1965, and was well developed and applied in a wide variety of real problems. In order to measure a fuzzy event, Zadeh proposed the concept of possibility measure in 1978. Although possibility measure has been widely used, it has no se- duality property. However, a self-dual measure is absolutely needed in both theory and practice. In order to de?ne a self-dual measure, Liu and Liu gave the concept of credibility measure in 2002. Credibility theory is a branch of mathematics that studies the behavior of fuzzy phenomena. An axiomatic foundation of credibility theory was given by Liu in his Uncertainty Theory of 2004. Chapter 3 will provide the credibility theory. Sometimes, fuzziness and randomness simultaneously appear in a system. | Uncertainty Theory by Baoding Liu Paperback | Indigo Chapters Books > Science & Nature > Math & Physics > Mathematics P10117, Baoding Liu<

2010, ISBN: 3642092179

[EAN: 9783642092176], Neubuch, [PU: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Germany], Language: English. Brand new Book. This book provides a self-contained, comprehensive an… Mehr…

[EAN: 9783642092176], Neubuch, [PU: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Germany], Language: English. Brand new Book. This book provides a self-contained, comprehensive and up-to-date presentation of uncertainty theory. The purpose is to equip the readers with an axiomatic approach to deal with uncertainty. For this new edition the entire text has been totally rewritten. The chapters on chance theory and uncertainty theory are completely new. Mathematicians, researchers, engineers, designers, and students will find this work a stimulating and useful reference. Softcover reprint of hardcover 2nd ed. 2007.<

2010, ISBN: 3642092179

Gebundene Ausgabe

Softcover reprint of hardcover 2nd ed. 2007 Kartoniert / Broschiert Management und Managementtechniken, Unternehmensforschung, Wahrscheinlichkeitsrechnung und Statistik, Optimierung, An… Mehr…

Softcover reprint of hardcover 2nd ed. 2007 Kartoniert / Broschiert Management und Managementtechniken, Unternehmensforschung, Wahrscheinlichkeitsrechnung und Statistik, Optimierung, Angewandte Mathematik, Mathematik für Ingenieure, Künstliche Intelligenz, Credibility Theory; Fuzzy Set; Operations Research; Probability Theory; Random Fuzzy Theory; Random Rough Theory; Rough Fuzzy Theory; Rough Sets; Trust Theory; artificial intelligence; intelligence, mit Schutzumschlag neu, [PU:Springer Berlin Heidelberg; Springer Berlin]<

2007, ISBN: 3642092179

[EAN: 9783642092176], Neubuch, [PU: Springer Berlin Heidelberg], 2nd edition. 266 pages. In Stock.