English

Distributivity between extended nullnorms and uninorms on fuzzy truth values

General Mathematics 2022-11-01 v1

Abstract

This paper mainly investigates the distributive laws between extended nullnorms and uninorms on fuzzy truth values under the condition that the nullnorm is conditionally distributive over the uninorm. It presents the distributive laws between the extended nullnorm and t-conorm, and the left and right distributive laws between the extended generalization nullnorm and uninorm, where a generalization nullnorm is an operator from the class of aggregation operators with absorbing element that generalizes a nullnorm.

Cite

@article{arxiv.1911.05074,
  title  = {Distributivity between extended nullnorms and uninorms on fuzzy truth values},
  author = {Zhi-qiang Liu and Xue-ping Wang},
  journal= {arXiv preprint arXiv:1911.05074},
  year   = {2022}
}

Comments

20

R2 v1 2026-06-23T12:13:26.900Z