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Logical measure: structure of logical formula

Published: 01 January 2002 Publication History
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  • Abstract

    The structure of logical and/or pseudo-logical formula is introduced. The structure of logical formula is its characteristic invariant to its functional realization ({0,1}-valued, many-valued and/or [0,1]-valued logical function). The Boolean algebra is defined on the set of all n-ary logical structures. The fundamental principle of structural functionality is introduced. A logical discrete Choquet integral is defined as [0,1]-valued logical and pseudo-logical function for AND operator defined as min function.

    References

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    3. S. Gottwald, A Treatise on Many - Valued Logic, Research Studies Press, UK, (2001)
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    5. P. Hajek, Metamatematics of Fuzzy Logic, Kluwer, (1998).
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    8. D. Radojevic´, Logical measure of continual logical function, 8th Int. Conf. IPMU - Information Processing and Management of Uncertainty in Knowledge-based Systems, Madrid, (2000) 574-581.
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    Published In

    cover image Guide books
    Technologies for constructing intelligent systems: tools
    January 2002
    440 pages
    ISBN:3790814555
    • Editors:
    • Bernadette Bouchon-Meunier,
    • Julio Gutiérrez-Ríos,
    • Luis Magdalena,
    • Ronald R. Yager,
    • Janusz Kacprzyk

    Publisher

    Physica-Verlag GmbH

    Germany

    Publication History

    Published: 01 January 2002

    Author Tags

    1. logical discrete Choquet integral
    2. logical structure
    3. structural function of logical formula
    4. structural vector of logical formula
    5. the principle of structural functionality

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