JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2016, Vol. 51 ›› Issue (2): 119-126.doi: 10.6040/j.issn.1671-9352.0.2015.156

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PENG Jia-yin   

  1. School of Mathematics and Information Science, Neijiang Normal University, Neijiang 641100, Sichuan, China
  • Received:2015-04-14 Online:2016-02-16 Published:2016-03-11

Abstract: The aim of this paper is to extend fuzzifying filter of lattice implication algebras by introducing a unary fuzzy predicate and by adopting the semantic method of continuous lattice valued logic. The concept of fuzzifying filters in lattice implication algebras is defined, and their related properties are discussed. How to deal with the lattice implication homomorphic images and inverse images of fuzzifying filters are studied.

Key words: continuous lattice valued logic, unary fuzzy predicate, fuzzifying filter, lattice implication homomorphism, lattice implication algebra

CLC Number: 

  • O159
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