Proceedings of the Korean Institute of Intelligent Systems Conference (한국지능시스템학회:학술대회논문집)

Korean Institute of Intelligent Systems (한국지능시스템학회)
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Characterization of Fuzzy Algebras by Fixed Cores

  • Guo, Peijun (Department of Industrial Engineering, Osaka Prefecture University) ;
  • Tanaka, Hideo (Department of Industrial Engineering, Osaka Prefecture Universitiy)
  • Published : 1998.06.01
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Abstract

Although each de Morgan algebra has not always fixed points(centers), it has always fixed cores, the natural extention of fixed points. Fixed cores, of they do not degenerate to fixed points, are Boolean algebras, It is also shown the necessary and sufficient condition a algebra to be a Kleene algebra(fuzzy algebra) is that it has just one fixed core.

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