Some remarks on the distributive equation of fuzzy implication and the contrapositive symmetry for continuous, Archimedean t-norms

Authors:
Michał BaczyńSki;Feng Qin
Affiliations:
Institute of Mathematics, University of Silesia, 40-007 Katowice, ul. Bankowa 14, Poland;College of Mathematics and Information Science, Nanchang Hangkong University, 330063 Nanchang, PR China and College of Mathematics and Information Science, Jiangxi Normal University, 330022 Nancha ...
Venue:
International Journal of Approximate Reasoning
Year:
2013

Citing 12
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Abstract

In this short article we present corrections of some results presented in Baczynski (2010) [6] and Qin and Yang (2010) [13] which are connected with the distributive equation I(x,T"1(y,z))=T"2(I(x,y),I(x,z)) and the contrapositive symmetry I(x,y)=I(N(y),N(x)) when T"1, T"2 are continuous t-norms, N is a strong negation and I an unknown binary function, in particular fuzzy implication.