Fuzzy Sets and Information

Fuzzy Sets and Information

A Generalized Approach

LAP Lambert Academic Publishing ( 20.03.2010 )

€ 59,00

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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.

Детали книги:

ISBN-13:

978-3-8383-5148-3

ISBN-10:

3838351487

EAN:

9783838351483

Язык книги:

English

By (author) :

Rakesh Bajaj
D.S. Hooda
Harinder Singh

Количество страниц:

152

Опубликовано:

20.03.2010

Категория:

Теория вероятности, стохастичность, математическая статистика