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Intensional theory of granular computing

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Abstract

This paper presents a new idea how the concept of granule can be modeled in formal fuzzy logic. The basic mathematical theory is fuzzy logic in narrow sense with evaluated syntax, which is based on Łukasiewicz algebra of truth values extended by the product. We have introduced the concepts of intension and extension of granules, internal and external operations on them, various kinds of relations, motion of granules, and others. The paper also outlines construction of some important examples of granules. At its end, we also introduce a more complex concept of association, which is formed of granules of various kinds.

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Authors and Affiliations

  1. Institute for Research and Applications of Fuzzy Modeling, University of Ostrava, 30. dubna 22, 701 03, Ostrava 1, Czech Republic

    V. Novák

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  1. V. Novák
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Correspondence to V. Novák.

Additional information

This paper has been supported by the Grant A1187901/99 of the GA AV ČR and project W-00-016 of the Cz-US scientific cooperation.

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Novák, V. Intensional theory of granular computing . Soft Computing 8, 281–290 (2004). https://doi.org/10.1007/s00500-003-0273-3

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  • DOI: https://doi.org/10.1007/s00500-003-0273-3

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