On a family of t-norms

Abstract This paper deals with the study of a certain type of ‘dependence’ between the values of a t-norm and those of its diagonal. A family of t-norms based on the Łukasiewicz t-norm is obtained.

[1]  G. Mayor,et al.  On a class of binary operations: non-strict Archimedean aggregation functions , 1988, [1988] Proceedings. The Eighteenth International Symposium on Multiple-Valued Logic.

[2]  L. Valverde,et al.  On Some Logical Connectives for Fuzzy Sets Theory , 1983 .

[3]  J. Aczél,et al.  Lectures on Functional Equations and Their Applications , 1968 .

[4]  K. Menger Statistical Metrics. , 1942, Proceedings of the National Academy of Sciences of the United States of America.