n-fold implicative pseudo valuations on hoops

  • Yongwei Yang
Keywords: Hoop, Pseudo valuation, n-fold implicative pseudo valuation

Abstract

Hoops play an important role in the study of fuzzy logic based on t-norms. In this paper, we introduce some notions of n-fold implicative pseudo valuations on hoops, and also analysis some properties of them. The shrinkage property for n-fold implicative pseudo valuations is provided, and the preimage and image of n-fold implicative pseudo valuation are discussed.

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Author Biography

Yongwei Yang

School of Mathematics and Statistics, Anyang Normal University, Anyang 455000, China

School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

 

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Published
2018-10-31