Beliakov / James / Wu Discrete Fuzzy Measures

Computational Aspects
Erscheinungsjahr 2019
ISBN: 978-3-030-15305-2
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 382, 245 Seiten, eBook

Reihe: Studies in Fuzziness and Soft Computing

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.

Zielgruppe

Research

Autoren/Hrsg.

Beliakov, Gleb

James, Simon

Wu, Jian-Zhang

Inhaltsverzeichnis

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.