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Distances and Similarities in Intuitionistic Fuzzy Sets

English · Hardback

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Description

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This book presents the state-of-the-art in theory and practice regarding similarity and distance measures for intuitionistic fuzzy sets. Quantifying similarity and distances is crucial for many applications, e.g. data mining, machine learning, decision making, and control. The work provides readers with a comprehensive set of theoretical concepts and practical tools for both defining and determining similarity between intuitionistic fuzzy sets. It describes an automatic algorithm for deriving intuitionistic fuzzy sets from data, which can aid in the analysis of information in large databases. The book also discusses other important applications, e.g. the use of similarity measures to evaluate the extent of agreement between experts in the context of decision making.

List of contents

Intuitionistic Fuzzy Sets as a Generalization of Fuzzy Sets.- Distances.- Similarity Measures between Intuitionistic Fuzzy Sets.

Summary

This book presents the state-of-the-art in theory and practice regarding similarity and distance measures for intuitionistic fuzzy sets. Quantifying similarity and distances is crucial for many applications, e.g. data mining, machine learning, decision making, and control. The work provides readers with a comprehensive set of theoretical concepts and practical tools for both defining and determining similarity between intuitionistic fuzzy sets. It describes an automatic algorithm for deriving intuitionistic fuzzy sets from data, which can aid in the analysis of information in large databases. The book also discusses other important applications, e.g. the use of similarity measures to evaluate the extent of agreement between experts in the context of decision making.

Additional text

From the book reviews:
“This research monograph is dedicated to a detailed study of distances and similarities in the theory of intuitionistic fuzzy sets. … The monograph includes numerous examples and figures that facilitate the reader’s understanding. … The book is an important contribution to the literature on intuitionistic fuzzy sets, being a comprehensive tool in the introduction and handling of distances and similarities between intuitionistic fuzzy sets.” (Adrian Ioan Ban, Mathematical Reviews, August, 2014)

Report

From the book reviews:
"This research monograph is dedicated to a detailed study of distances and similarities in the theory of intuitionistic fuzzy sets. ... The monograph includes numerous examples and figures that facilitate the reader's understanding. ... The book is an important contribution to the literature on intuitionistic fuzzy sets, being a comprehensive tool in the introduction and handling of distances and similarities between intuitionistic fuzzy sets." (Adrian Ioan Ban, Mathematical Reviews, August, 2014)

Product details

Authors Eulalia Szmidt
Publisher Springer, Berlin
 
Languages English
Product format Hardback
Released 25.07.2013
 
EAN 9783319016399
ISBN 978-3-31-901639-9
No. of pages 148
Dimensions 167 mm x 19 mm x 244 mm
Weight 350 g
Illustrations VIII, 148 p.
Series Studies in Fuzziness and Soft Computing
Studies in Fuzziness and Soft Computing
Subjects Natural sciences, medicine, IT, technology > Technology > General, dictionaries
Social sciences, law, business > Business

Operations Research, B, Unternehmensforschung, Artificial Intelligence, engineering, Operations Research, Management Science, Management science, Operational research, Computational Intelligence

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