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Triangular norm-based measures and games with fuzzy coalitions
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ISBN: 0792323696 9048142962 9401736022 9780792323693 Year: 1993 Volume: v. 10 Publisher: Dordrecht: Kluwer,

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Triangular norms
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ISBN: 0792364163 Year: 2000 Publisher: Dordrecht : Kluwer academic,

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Triangular norms were first used in the context of probabilistic metric spaces in order to extend the triangle inequality from classical metric spaces to this more general case. The theory of triangular norms has two roots, viz., specific functional equations and the theory of special topological semigroups. These are discussed in Part I. Part II of the book surveys several applied fields in which triangular norms play a significant part: probabilistic metric spaces, aggregation operators, many-valued logics, fuzzy logics, sets and control, and non-additive measures together with their corresponding integrals. Part I is self contained, including all proofs, and gives many graphical illustrations. The review in Part II shows the importance if triangular norms in the field concerned, providing a well-balanced picture of theory and applications.

Fuzzy sets, logics, and reasoning about knowledge
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ISBN: 0792359771 Year: 1999 Publisher: Dordrecht : Kluwer academic,

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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.

Applications of category theory to fuzzy subsets
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ISBN: 0792315111 Year: 1992 Publisher: Dordrecht Boston London Kluwer Academic Publishers

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Hagenberg Research

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This book is a synopsis of the basic and applied research carried out at the various research institutions of Softwarepark Hagenberg in Austria. Started in 1987, following a decision of the government of Upper Austria to create a scientific, technological, and economic impulse for the region and for the international community, Softwarepark Hagenberg has grown in size to over 1000 R&D employees and 1300 students in six research institutions, 40 companies and 20 academic study programs at the bachelor's, master's and PhD levels. The overall goal of Softwarepark Hagenberg is economic stimulation through innovative software technologies. The contributions in this book provide an overview of current research in the field of software science and related areas pursued at the six research institutions of Softwarepark Hagenberg. The subjects addressed range from computational logic and mathematics to software science and applied technologies. The message of this book is that economic and scientific innovation can only be achieved by emphasizing basic and applied research.

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