In this paper, the distribution of truth degree in G\"{o}del logic system and logic system is studied. It is shown that the sets of the truth degrees of -ary formulas in the G\"{o}del logic system and logic system are and respectively. Furthermore, these truth degrees are all rational in . Finally, the distribution of similarity degree and pseudo-metric are defined.
LI Chengyun
, ZHANG Xingfang. , {{custom_author.name_en}}.
The Distribution of Truth Degree in Godel Logic and L* Logic. Journal of Systems Science and Mathematical Sciences, 2010, 30(10): 1417-1428 https://doi.org/10.12341/jssms09279