Chinese Quarterly Journal of Mathematics ›› 2005, Vol. 20 ›› Issue (3): 301-308.

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Closure Operators of Lattice-valued Propositional Logic LP(X)

  

  1. Department of Mathematics, Ocean University of China, Qingdao 266071, China; College of Computer and Information Engineering, Henan University, Kaifeng 475001, China; .Intelligent Control Development Center, Southwest Jiaotong University, Chengdu 610031, China
  • Received:2004-06-06 Online:2005-09-30 Published:2024-01-15
  • About author:WANG Xue-fang(1975-),female,native of Linyi,Shandong,Ph.D.,engages in fuzzy logic and intelligent control.
  • Supported by:
    Supported by the National Natural Science Foundation of China(60474022);

Abstract: In this paper, closure operators of lattice-valued propositional logic LP(X) are studied. A family of classical closure operators are defined and the relation between them and closure operators of LP(X) is investigated. At the same time, a tool for checking compactness of LP(X) is given.

Key words:  , lattice-valued logic, lattice implication algebras, closure operators, compact- ness.

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