Fuzzy Probability Spaces, Fuzzy Dynamical Systems, and Entropy: Fuzzy modifications of some concepts of classical probability theory, measure theory, and ergodic theory - Softcover

Markechová, Dagmar

Softcover

ISBN 10: 3659463345 ISBN 13: 9783659463341

Publisher: LAP LAMBERT Academic Publishing, 2013

Synopsis

When planning experiments it is very important to know the amount of information that we obtain from their realization. It is known that a measure of information is entropy. A usual mathematical model of experiment in the classical information theory is a measurable partition. Partitions are standardly defined in the context of classical sets. It has appeared however, that for a solution of real problems are partitions defined by means of the concept of fuzzy sets more appropriate. The book contains a review of results of author related to the study of entropy in the fuzzy case. These results represent fuzzy generalizations of some concepts from the classical probability theory. The entropy of fuzzy partition can be considered as a measure of information of experiment, the results of which are fuzzy events. The concept of entropy of a fuzzy partition is exploited to define the entropy of fuzzy dynamical systems. Subsequently an ergodic theory for these systems is proposed. Presented results include the corresponding results from the classical ergodic theory as particular cases. The publication might be useful for specialists who deal in their research work with similar issues.

About this title

About the Author

Prof. Dagmar Markechová has obtained her PhD degree in Probability Theory and Mathematical Statistics at Comenius University in Bratislava in 1990. Since 1981 up to now she is working as university teacher at the Dept. of Math. of Faculty of Natural Sciences of CPU in Nitra. She is author of over 80 papers and co-author of several textbooks.

Edition details

• Publisher: LAP LAMBERT Academic Publishing
• Publication date: 2013
• Language: English
• ISBN 10: 3659463345
• ISBN 13: 9783659463341
• Binding: Paperback
• Number of pages: 120