JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2023, Vol. 58 ›› Issue (5): 1-9.doi: 10.6040/j.issn.1671-9352.4.2022.3841

   

(N,U)-implication: a kind of new fuzzy implication constructed by uninorms and fuzzy negation

YU Peng*, LI Ranran   

  1. School of Mathematics and Data Sciences, Shaanxi University of Science and Technology, Xian 710021, Shaanxi, China
  • Published:2023-05-15

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Abstract: Based on the duality principle and(U,N)-implication, we construct a new type of fuzzy implication, named(N,U)-implication, which is obtained by replacing ∧ and  operators with conjunctive uninorms and general fuzzy negations in the formula p→q=(p∧q)in classical logic system.(N,U)-implication differs from the(U,N)-implication, and can be considered its complement to a certain extent thus enriching the pool of the generating methods for fuzzy implications.

Key words: uninorms, fuzzy implication, fuzzy negation, (U,N)-implication, triangular norms

CLC Number: 

  • O144
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