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9783838351483: Fuzzy Sets and Information: A Generalized Approach

Sinopsis

Fuzzy set theory has capability to describe the uncertain situations, containing ambiguity and vagueness. Fuzziness is found in our decision, in our thinking, in the way we process information, and particularly in our language.The objective of the book is to study fuzzy mathematics with applications and to characterize new measures of fuzzy information with their various generalizations. The fuzzy information measure deals with vague and ambiguous uncertainties. Large number of measures of entropy, directed divergence and symmetric divergence for probability distributions are known. Analogously, there is a set of variety of measures for fuzzy sets available. Cross-entropy measure is also known as the information discrepancy between two probability distributions. Derived from cross-entropy, fuzzy directed divergence measures the dissimilarity between two fuzzy sets. Various generalized measures of fuzzy information have been introduced. The concept of `useful' fuzzy information by attaching utility to the uncertainties of fuzziness and probabilities of randomness has been introduced.

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Fuzzy set theory has capability to describe the uncertain situations, containing ambiguity and vagueness. Fuzziness is found in our decision, in our thinking, in the way we process information, and particularly in our language.The objective of the book is to study fuzzy mathematics with applications and to characterize new measures of fuzzy information with their various generalizations. The fuzzy information measure deals with vague and ambiguous uncertainties. Large number of measures of entropy, directed divergence and symmetric divergence for probability distributions are known. Analogously, there is a set of variety of measures for fuzzy sets available. Cross-entropy measure is also known as the information discrepancy between two probability distributions. Derived from cross-entropy, fuzzy directed divergence measures the dissimilarity between two fuzzy sets. Various generalized measures of fuzzy information have been introduced. The concept of `useful' fuzzy information by attaching utility to the uncertainties of fuzziness and probabilities of randomness has been introduced.

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Rakesh Bajaj|D.S. Hooda|Harinder Singh
Publicado por LAP LAMBERT Academic Publishing, 2010
ISBN 10: 3838351487 ISBN 13: 9783838351483
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Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Bajaj RakeshRakesh Kr Bajaj received M.Sc. from IIT, Kanpur in 2003 and Ph.D.(Maths) from Jaypee University of Information Technology, Waknaghat in 2009. He is a faculty in Deptt. of Mathematics, JUIT, Waknaghat. Prof. D.S. Hooda is . Nº de ref. del artículo: 5415562

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Rakesh Bajaj
ISBN 10: 3838351487 ISBN 13: 9783838351483
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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Fuzzy set theory has capability to describe the uncertain situations, containing ambiguity and vagueness. Fuzziness is found in our decision, in our thinking, in the way we process information, and particularly in our language.The objective of the book is to study fuzzy mathematics with applications and to characterize new measures of fuzzy information with their various generalizations. The fuzzy information measure deals with vague and ambiguous uncertainties. Large number of measures of entropy, directed divergence and symmetric divergence for probability distributions are known. Analogously, there is a set of variety of measures for fuzzy sets available. Cross-entropy measure is also known as the information discrepancy between two probability distributions. Derived from cross-entropy, fuzzy directed divergence measures the dissimilarity between two fuzzy sets. Various generalized measures of fuzzy information have been introduced. The concept of `useful' fuzzy information by attaching utility to the uncertainties of fuzziness and probabilities of randomness has been introduced. 152 pp. Englisch. Nº de ref. del artículo: 9783838351483

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Rakesh Bajaj
Publicado por LAP LAMBERT Academic Publishing, 2010
ISBN 10: 3838351487 ISBN 13: 9783838351483
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Taschenbuch. Condición: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Fuzzy set theory has capability to describe the uncertain situations, containing ambiguity and vagueness. Fuzziness is found in our decision, in our thinking, in the way we process information, and particularly in our language.The objective of the book is to study fuzzy mathematics with applications and to characterize new measures of fuzzy information with their various generalizations. The fuzzy information measure deals with vague and ambiguous uncertainties. Large number of measures of entropy, directed divergence and symmetric divergence for probability distributions are known. Analogously, there is a set of variety of measures for fuzzy sets available. Cross-entropy measure is also known as the information discrepancy between two probability distributions. Derived from cross-entropy, fuzzy directed divergence measures the dissimilarity between two fuzzy sets. Various generalized measures of fuzzy information have been introduced. The concept of `useful' fuzzy information by attaching utility to the uncertainties of fuzziness and probabilities of randomness has been introduced. Nº de ref. del artículo: 9783838351483

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Rakesh Bajaj
ISBN 10: 3838351487 ISBN 13: 9783838351483
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Taschenbuch. Condición: Neu. Neuware -Fuzzy set theory has capability to describe the uncertain situations, containing ambiguity and vagueness. Fuzziness is found in our decision, in our thinking, in the way we process information, and particularly in our language.The objective of the book is to study fuzzy mathematics with applications and to characterize new measures of fuzzy information with their various generalizations. The fuzzy information measure deals with vague and ambiguous uncertainties. Large number of measures of entropy, directed divergence and symmetric divergence for probability distributions are known. Analogously, there is a set of variety of measures for fuzzy sets available. Cross-entropy measure is also known as the information discrepancy between two probability distributions. Derived from cross-entropy, fuzzy directed divergence measures the dissimilarity between two fuzzy sets. Various generalized measures of fuzzy information have been introduced. The concept of ''useful'' fuzzy information by attaching utility to the uncertainties of fuzziness and probabilities of randomness has been introduced.Books on Demand GmbH, Überseering 33, 22297 Hamburg 152 pp. Englisch. Nº de ref. del artículo: 9783838351483

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Bajaj, Rakesh, Hooda, D.S., Singh, Harinder
Publicado por LAP Lambert Academic Publishing, 2010
ISBN 10: 3838351487 ISBN 13: 9783838351483
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paperback. Condición: New. New. book. Nº de ref. del artículo: ERICA82938383514876

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