Intensional theory of granular computing

作者: V. Nov�k

DOI: 10.1007/S00500-003-0273-3

关键词: IntensionMathematicsAlgorithmGranular computingFuzzy numberSyntax (logic)Mathematical theoryAlgebraFuzzy logicŁukasiewicz logicTruth value

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

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