Discrete Fuzzy Measures

Computational Aspects

Gleb Beliakov, Simon James, Jian-Zhang Wu (Autoren)

Buch | Hardcover

XIV, 245 Seiten

2019 | 1st ed. 2020
Springer International Publishing (Verlag)
978-3-030-15304-5 (ISBN)

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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.

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.

Erscheinungsdatum	30.03.2019
Reihe/Serie	Studies in Fuzziness and Soft Computing
Zusatzinfo	XIV, 245 p. 44 illus., 38 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	547 g
Themenwelt	Informatik ► Datenbanken ► Data Warehouse / Data Mining
	Informatik ► Theorie / Studium ► Künstliche Intelligenz / Robotik
	Technik
	Wirtschaft ► Betriebswirtschaft / Management
Schlagworte	Aggregating Data • Aggregation Operators • Averaging Functions • Fuzzy Partial Orders • Induced OWA • Interaction Indices • k-maxitive Fuzzy Measures • Maximum Entropy Fuzzy Measures • Non-additive Integrals • non-additive measures • Nonadditive Ordinal Regression • Nonadditivity Indices • nonlinear integrals • Non-modularity • Ordered Weighted Averaging (OWA) • Preference relations • Symmetric Fuzzy Measures
ISBN-10	3-030-15304-5 / 3030153045
ISBN-13	978-3-030-15304-5 / 9783030153045
Zustand	Neuware