JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2018, Vol. 53 ›› Issue (6): 86-94.doi: 10.6040/j.issn.1671-9352.0.2018.035

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Representative forms of commutative BR0-algebras on a set by implication operator

  

  1. Department of Mathematics and Statistics, Chifeng University, Chifeng 024001, Inner Mongolia, China
  • Received:2018-01-20 Online:2018-06-20 Published:2018-06-13

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Abstract: By the further study of the definition and properties of commutative BR0-algebras, some equivalent forms of commutative BR0-algebras are obtained on a set by using implication operator. This work not only further simplifies the definition of commutative BR0-algebras, but also conforms commutative BR0-algebras to the features of logical algebras in definition. It provides a basis for studying the relations between commutative BR0-algebras and other logical algebras.

Key words: logical algebra, fuzzy logic, set, commutative BR0-algebra, implication operator

CLC Number: 

  • O141.1
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