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Discrete fuzzy measurescomputational...

Beliakov, Gleb.

Discrete fuzzy measurescomputational aspects /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Discrete fuzzy measuresby Gleb Beliakov, Simon James, Jian-Zhang Wu.
Reminder of title:	computational aspects /
Author:	Beliakov, Gleb.
other author:	James, Simon.
Published:	Cham :Springer International Publishing :2020.
Description:	xiv, 245 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Fuzzy measure theory.
Online resource:	https://doi.org/10.1007/978-3-030-15305-2
ISBN:	9783030153052$q(electronic bk.)

Discrete fuzzy measurescomputational aspects /
Beliakov, Gleb.

Discrete fuzzy measurescomputational aspects /[electronic resource] :by Gleb Beliakov, Simon James, Jian-Zhang Wu. - Cham :Springer International Publishing :2020. - xiv, 245 p. :ill. (some col.), digital ;24 cm. - Studies in fuzziness and soft computing,v.3821434-9922 ;. - Studies in fuzziness and soft computing ;v.273..

Introduction -- Types of Fuzzy Measures -- Value and Interaction Indices -- Representations -- Fuzzy Integrals -- Symmetric Fuzzy Measures: OWA -- k-order Fuzzy Measures and k-order Aggregation Functions -- Learning Fuzzy Measures -- Index.

This book addresses computer scientists, IT specialists, mathematicians, knowledge engineers and programmers, who are engaged in research and practice of multicriteria decision making. Fuzzy measures, also known as capacities, allow one to combine degrees of preferences, support or fuzzy memberships into one representative value, taking into account interactions between the inputs. The notions of mutual reinforcement or redundancy are modeled explicitly through coefficients of fuzzy measures, and fuzzy integrals, such as the Choquet and Sugeno integrals combine the inputs. Building on previous monographs published by the authors and dealing with different aspects of aggregation, this book especially focuses on the Choquet and Sugeno integrals. It presents a number of new findings concerning computation of fuzzy measures, learning them from data and modeling interactions. The book does not require substantial mathematical background, as all the relevant notions are explained. It is intended as concise, timely and self-contained guide to the use of fuzzy measures in the field of multicriteria decision making.

ISBN: 9783030153052$q(electronic bk.)

Standard No.: 10.1007/978-3-030-15305-2doiSubjects--Topical Terms:

676101
Fuzzy measure theory.

LC Class. No.: QA312.5

Dewey Class. No.: 515.42

Discrete fuzzy measurescomputational aspects /
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245 1 0 $a Discrete fuzzy measures $h [electronic resource] : $b computational aspects / $c by Gleb Beliakov, Simon James, Jian-Zhang Wu.
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505 0 $a Introduction -- Types of Fuzzy Measures -- Value and Interaction Indices -- Representations -- Fuzzy Integrals -- Symmetric Fuzzy Measures: OWA -- k-order Fuzzy Measures and k-order Aggregation Functions -- Learning Fuzzy Measures -- Index.
520 $a This book addresses computer scientists, IT specialists, mathematicians, knowledge engineers and programmers, who are engaged in research and practice of multicriteria decision making. Fuzzy measures, also known as capacities, allow one to combine degrees of preferences, support or fuzzy memberships into one representative value, taking into account interactions between the inputs. The notions of mutual reinforcement or redundancy are modeled explicitly through coefficients of fuzzy measures, and fuzzy integrals, such as the Choquet and Sugeno integrals combine the inputs. Building on previous monographs published by the authors and dealing with different aspects of aggregation, this book especially focuses on the Choquet and Sugeno integrals. It presents a number of new findings concerning computation of fuzzy measures, learning them from data and modeling interactions. The book does not require substantial mathematical background, as all the relevant notions are explained. It is intended as concise, timely and self-contained guide to the use of fuzzy measures in the field of multicriteria decision making.
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