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  • 标题:Some Results of Derivations on FI-lattices
  • 本地全文:下载
  • 作者:Mei Wang ; Ting Qian ; Jun Tao Wang
  • 期刊名称:IAENG International Journal of Computer Science
  • 印刷版ISSN:1819-656X
  • 电子版ISSN:1819-9224
  • 出版年度:2021
  • 卷号:48
  • 期号:3
  • 语种:English
  • 出版社:IAENG - International Association of Engineers
  • 摘要:In this paper, we further study implicative derivations on FI-lattices and obtain some new results of them. In particular, we prove that the set of all implicative derivations on FI-lattice forms a monoid. Also, we generalize the implicative derivations by homomorphism, which is called generalized implicative derivation, on FI-lattices and obtain some important results of them. The results of this paper generalize the corresponding results of derivations on the logical algebras of t-norm based fuzzy logic.
  • 关键词:Logical algebra;FI-lattice;(generalized) implicative derivation
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