Choquet Capacities and Fuzzy Integrals / / by Gleb Beliakov, Simon James, Jian-Zhang Wu
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| Autore: |
Beliakov Gleb
|
| Titolo: |
Choquet Capacities and Fuzzy Integrals / / by Gleb Beliakov, Simon James, Jian-Zhang Wu
|
| Pubblicazione: | Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2026 |
| Edizione: | 1st ed. 2026. |
| Descrizione fisica: | 1 online resource (555 pages) |
| Disciplina: | 004.0151 |
| Soggetto topico: | Computer science |
| Integral equations | |
| Functions, Special | |
| Theory of Computation | |
| Integral Equations | |
| Computer Science Logic and Foundations of Programming | |
| Special Functions | |
| Nota di contenuto: | Introduction -- Types of Capacities -- Value and Interaction Indices -- Representations -- Fuzzy Intergrals -- Sparse Capacities -- Symmetric Fuzzy Measures: OWA -- Learning Capacities -- Optimisation Models Based on Fuzzy Integrals -- Random Sampling of the Capacities. |
| Sommario/riassunto: | Choquet capacities, which provide the weighting mechanism for the Choquet and other fuzzy integrals, model synergistic and antagonistic interactions between variables by assigning value to all subsets rather than individual inputs. This book provides a detailed overview of the background concepts relating to capacities and their role in fuzzy integration and aggregation, then presents specialised chapters on most recent results in learning, random sampling and optimization that involve Choquet capacities. Topics and features: · Fundamentals of Choquet capacities (fuzzy measures) and their use in modeling importance and interaction between variables · Definitions, properties and mappings between alternative representations that allow capacities and fuzzy integrals to be interpreted and applied in different settings · Capacity learning formulations that allow the diverse types to be elicited from datasets or according to user-specified requirements · Recent findings related to random sampling and optimisation with Choquet integral objectives This book includes illustrative examples and guidance for implementation, including an appendix detailing functions found in the pyfmtools software library. It aims to be useful for practitioners and researchers in decision and data-driven fields, or those who wish to apply these emerging tools to new problems. The authors are all affiliated with the School of Information Technology at Deakin University, Australia. Gleb Beliakov is a professor, Simon James< is an Associate Professor, and Jian-Zhang Wu is a Research Fellow. . |
| Titolo autorizzato: | Choquet Capacities and Fuzzy Integrals |
| ISBN: | 9783031970702 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9911047803803321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Theory and Applications of Computability, In cooperation with the Association Computability in Europe, . 2190-6203