Neutrosophic Pseudo-t-Norm and Its Derived Neutrosophic Residual Implication

Authors

  • Hongru Bu
  • Qingqing Hu
  • Xiaohong Zhang

Abstract

First of all, on the basis of complete lattice, the concept of neutrosophic pseudo-t-norm
(NPT) is given. Definitions and examples of representable neutrosophic pseudo-t-norms (RNPTs)
are given, while unrepresentable neutrosophic pseudo-t-norms (UNPTs) is also given. Secondly,
De Morgan neutrosophic triples (DMNTs) consists of three operators: NPTs, neutrosophic negators
(NNs) and neutrosophic pseudo-s-norms (NPSs), where NPTs and NPSs are dual about NNs.
Again, we study the neutrosophic residual implications (NRIs) of NPTs, as well as their underlying
properties. Finally, we give a method to get NPTs from neutrosophic implications (NIs) and
construct non-commutative residuated lattices (NCRLs) based on NRIs and NPTs.

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Published

2023-12-11

Issue

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

How to Cite

Hongru Bu, Qingqing Hu, & Xiaohong Zhang. (2023). Neutrosophic Pseudo-t-Norm and Its Derived Neutrosophic Residual Implication. Neutrosophic Sets and Systems, 57, 18-32. https://fs.unm.edu/nss8/index.php/111/article/view/3502