| Dewey Class |
160 |
| Titel |
Fuzzy Sets, Logics and Reasoning about Knowledge ([EBook] /) / edited by Didier Dubois, Henri Prade, Erich Peter Klement. |
| Added Personal Name |
Dubois, Didier editor. |
| Prade, Henri editor. |
| Klement, Erich Peter editor. |
| Other name(s) |
SpringerLink (Online service) |
| Veröffentl |
Dordrecht : : Springer Netherlands : : Imprint: Springer, , 1999. |
| Physical Details |
IX, 425 p. : online resource. |
| Reihe |
Applied Logic Series 1386-2790 ; ; 15 |
| ISBN |
9789401716529 |
| Summary Note |
Fuzzy Sets, Logics and Reasoning about Knowledge reports recent results concerning the genuinely logical aspects of fuzzy sets in relation to algebraic considerations, knowledge representation and commonsense reasoning. It takes a state-of-the-art look at multiple-valued and fuzzy set-based logics, in an artificial intelligence perspective. The papers, all of which are written by leading contributors in their respective fields, are grouped into four sections. The first section presents a panorama of many-valued logics in connection with fuzzy sets. The second explores algebraic foundations, with an emphasis on MV algebras. The third is devoted to approximate reasoning methods and similarity-based reasoning. The fourth explores connections between fuzzy knowledge representation, especially possibilistic logic and prioritized knowledge bases. Readership: Scholars and graduate students in logic, algebra, knowledge representation, and formal aspects of artificial intelligence.: |
| Contents note |
Introduction: Bridging the Gap between Multiple-valued Logics, Fuzzy Logic, Uncertain Reasoning and Reasoning about Knowledge -- I: Advances in Mutiple-valued Logics -- The Poincaré Paradox and Non-classical Logics -- Propositional Fuzzy Logics based on Frank t-norms: A comparison -- A Resolution-based Axiomatisation of ‘Bold’ Propositional Fuzzy Logic -- How to Make Your Logic Fuzzy: Fibred Semantics and The Weaving of Logics -- Introducing Grade to Some Metalogical Notions -- Closure Operators, Fuzzy Logic and Constraints -- II: Algebraic Aspects of Multiple-valued Logics -- Ulam Game, the Logic of MaxSat, and Many-valued Partitions -- A Many-valued Generalisation of the Ultrapower Construction -- Gabriel Filters and the Spectrum of an MV-Algebra -- Conditional States in Finite-valued Logics -- Conditioning on MV-algebras and Additive Measures—further results -- III: Advances in Approximate Reasoning -- Toward Adequacy Conditions for Inference Schemata in Approximate Reasoning: The Case of the Rule of Syllogism -- Formal Theories in Fuzzy Logic -- A Note on Fuzzy Inference as Deduction -- The Role of Similarity in Fuzzy Reasoning -- T-indistinguishability Operators and Approximate Reasoning via CRI -- About Similarity-based Logical Systems -- On Similarity-based Fuzzy Clusterings -- IV: Reasoning about Information and Knowledge -- Informational Representability: Abstract Models versus Concrete Models -- From Possibilistic Information to Kleene’s Strong Multi-valued Logics -- A Roadmap of Qualitative Independence -- Truth Functionality and Measure-based Logics -- Logic Programs with Context-dependent Preferences -- An Overview of Inconsistency-tolerant Inferences in Prioritized Knowledge Bases. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) |
| Internet Site |
http://dx.doi.org/10.1007/978-94-017-1652-9 |
| LINKS ZU 'VERWANDTEN WERKEN |
Schlagwörter: .
Algebra .
Artificial intelligence .
Artificial Intelligence (incl. Robotics) .
Discrete Mathematics .
Logic .
Mathematical logic .
Mathematical Logic and Foundations .
Order, Lattices, Ordered Algebraic Structures .
Ordered algebraic structures .
Philosophy .
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