n度矢量模糊空间图象理论与应用研究:模糊逻辑的图象化探索之三

Graphic Theory of n-Degree Vector Fuzzy-Spaceand Its Applications

  • Abstract: Presents a geometrical model of n-degree vector fuzzy-space for fuzzy logic research and analalyzes the multitudinous graph features of n-degree fuzzy point sets, thus bringing about a new algorithm of fuzzy negation and a minimization graphicalgorithm for the fuzzy logic functions on the fuzzy point-sets.As a result ,the article places the new graphization theory of fuzzy logic on a firm basis of the graphization of the inteprated theories of algebra, geometry, graphics and graphic arts.The problem of fuzzy negation and minimal conjunctive algorithm can thus be solved more satisfactorilythan what can be achieved through pare algebraic or Karnuagh mapping. Hence the new algorithms will prove to be of significance for the computerization of fuzzy logical design, knowledge engineering and in the development of mechatronics.

     

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