Nonlinear integrals and their applications in data mining (Advances in fuzzy systems – applications and theory, vol. 17)

• Main Author: Zhenyuan Wang, Rong Yang, Kwong-sak Leung
• Format: eBook
• Language: English
• Published: Singapore World Scientific Publishing Co. Pte. Ltd 2010; World Scientific Publishing Company; World Scientific Publishing
• Edition: 1
• Subjects: Analysis & Differential Equations; Data mining; Fuzzy logic; Fuzzy sets; Integrals; Mathematics
• ISBN: 9812814671; 9789812814678; 981281468X; 9789812814685
• DOI: 10.1142/6861

Regarding the set of all feature attributes in a given database as the universal set, this monograph discusses various nonadditive set functions that describe the interaction among the contributions from feature attributes towards a considered target attribute. Then, the relevant nonlinear integrals are investigated. These integrals can be applied as aggregation tools in information fusion and data mining, such as synthetic evaluation, nonlinear multiregressions, and nonlinear classifications. Some methods of fuzzification are also introduced for nonlinear integrals such that fuzzy data can be treated and fuzzy information is retrievable.The book is suitable as a text for graduate courses in mathematics, computer science, and information science. It is also useful to researchers in the relevant area.Sample Chapter(s)Chapter 1: Introduction (114 KB)Contents: Basic Knowledge on Classical SetsFuzzy SetsSet FunctionsIntegrationsInformation FusionOptimization and Soft ComputingIdentification of Set FunctionsMultiregressions Based on Nonlinear IntegralsClassifications Based on Nonlinear IntegralsData Mining with Fuzzy DataReadership: Graduate students and research students interested in mathematics and computer science.