# On the difference between traditional and deductive fuzzy logic

 Authors: Title: On the difference between traditional and deductive fuzzy logic Journal: Fuzzy Sets and Systems Volume 159 Number 10 Pages: 1153-1164 Year: 2008 Download from the publisher Preprint

In his talk at Logic, Algebra and Truth Degrees in Siena 2008, Josep Maria Font proposed the upper intervals $\displaystyle [\alpha,\to)=\{\beta\in L\mid\beta\ge\alpha\}$ to be called truth degrees, for all truth values $\displaystyle \alpha\in L$ . This proposal is quite consonant with my description of the "principle of persistence" in the present paper, and I regret that I did not get the idea of presenting the principle of persistence in this way, as it might have been more comprehensible for traditional fuzzy mathematicians than my expression "guaranteed thresholds" found in the paper. The rationale for Font's proposal is that so defined truth degrees, rather than truth values, are preserved by fully true implications (which was also one of the messages of my paper). -- LBehounek 16:09, 25 September 2008 (CEST)