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Distributivity between extended nullnorms and uninorms on fuzzy truth values

Authors :
Liu, Zhi-qiang
Wang, Xue-ping
Source :
International Journal of Approximate Reasoning 125 (2020) 1-13
Publication Year :
2019

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.<br />Comment: 20

Subjects

Subjects :
Mathematics - General Mathematics

Details

Database :
arXiv
Journal :
International Journal of Approximate Reasoning 125 (2020) 1-13
Publication Type :
Report
Accession number :
edsarx.1911.05074
Document Type :
Working Paper
Full Text :
https://doi.org/10.1016/j.ijar.2020.06.006