Fuzzy measures and integrals : theory and applications
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Bibliographic Information
Fuzzy measures and integrals : theory and applications
（Studies in fuzziness and soft computing, v. 40）
Physica-Verlag, c2000
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Includes bibliographical references
Description and Table of Contents
Description
Concepts similar to fuzzy measure have been introduced independently in many domains: in non-expected utility theory, cooperative game theory, complexity analysis, measure theory, etc. This book reflects all these facets. It gathers survey papers written by leading researchers in the field, covering a selection of most significant topics. The first part is devoted to fundamental and theoretical material, while the second part deals with more applied topics such as decision making and pattern recognition. The book is of interest to researchers in decision making, artificial intelligence, applied mathematics, mathematical social sciences, etc.
Table of Contents
P. Wakker: Foreword.- M. Grabisch, T. Murofushi, M. Sugeno: Preface.- Theory: T. Murofushi, M. Sugeno: Fuzzy Measures and Fuzzy Integrals.- D. Denneberg: Non-additive Measure and Integral, Basic Concepts and Their Role for Applications.- M. Grabisch: The Interaction and Mobius Representations of Fuzzy Measures on Finite Spaces, k-Additive Measures: A Survey.- K. Fujimoto, T. Murofushi: Hierarchical Decomposition of the Choquet Integral.- I. Kramosil: Towards Generalized Belief Functions.- G. De Cooman: Integration in Possibility Theory.- Z. Wang, K. Xu: On the Autocontinuity of Set Functions.- E. Pap: Pseudo-convolution and Its Applications.- P. Benvenuti, R. Mesiar: Integrals with Respect to a General Fuzzy Measure.- D. Butnariu, E.P. Klement: Measures on Triangular Norm-based Tribes: Properties and Integral Representations.- J.-L. Marichal: On Choquet and Sugeno Integrals as Aggregation Functions.- H. Imaoka: Comparison between Three Fuzzy Integrals.- Applications: A. Chateauneuf, M. Cohen: Choquet Expected Utility Model: A New Approach to Individual Behavior under Uncertainty and to Social Welfare.- D. Dubois, H. Prade, R. Sabbadin: Qualitative Decision Theory with Sugeno Integrals.- T. Murofushi, M. Sugeno: The Choquet Integral in Multicriteria Decision Making.- M. Grabisch, M. Roubens. Application of the Choquet Integral in Multicriteria Decision Making.- S.H. Kwon, M. Sugeno: A Hierarchical Subjective Evaluation Model Using Non-monotonic Fuzzy Measures and the Choquet Integral.- J.F. Peters III, L. Han, S. Ramana: The Choquet Integral in a Rough Software Cost Decision System.- M. Grabisch: Fuzzy Integral for Classification and Feature Extraction.- J.M. Keller, P.D. Gader, A.K. Hocaoglu: Fuzzy Integrals inImage Processing and Recognition.- Z. Wang, G.J. Klir, J. Swan-Stone, K. Xu: An Algorithm for Calculating Natural Extensions with Respect to Lower Probabilities.
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