JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2019, Vol. 54 ›› Issue (8): 20-32.doi: 10.6040/j.issn.1671-9352.0.2018.429

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Characterization of fuzzy implications satisfying the law of importation with respect to conjunctive 2-uninorms

CHENG Ya-fei, ZHAO Bin*   

  1. School of Mathematics and Information Science, Shaanxi Normal University, Xian 710119, Shaanxi, China
  • Online:2019-08-20 Published:2019-07-03

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Abstract: The notion of fuzzy negations satisfying(COMPU2)with respect to 2-uninorms is introduced, and the situations that continuous fuzzy negations satisfying(COMPU2)with respect to four types of conjunctive 2-uninorms are discussed respectively. The definition and related properties of fuzzy implications satisfying the law of importation with conjunctive 2-uninorms are given. Finally, using(COMPU2), a characterization that fuzzy implications satisfy respectively the law of importation with respect to four types of conjunctive 2-uninorms is provided.

Key words: fuzzy implication, 2-uninorm, the law of importation, fuzzy negation

CLC Number: 

  • O159
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