@article{ajss2014261,
author={{J.L., Us¨®-Dom¨¦nech and J., Nescolarde-Selva and S., Perez-Gonzaga},
title={Truth Values in t-norm based Systems Many-valued FUZZY Logic},
journal={American Journal of Systems and Software},
volume={2},
number={6},
pages={139--145},
year={2014},
url={http://pubs.sciepub.com/ajss/2/6/1},
abstract={In t-norm based systems many-valued logic, valuations of propositions form a non-countable set: interval [0,1]. In addition, we are given a set E of truth values p, subject to certain conditions, the valuation v is v=V(p), V reciprocal application of E on [0,1]. The general propositional algebra of t-norm based many-valued logic is then constructed from seven axioms. It contains classical logic (not many-valued) as a special case. It is first applied to the case where E=[0,1] and V is the identity. The result is a t-norm based many-valued logic in which contradiction can have a nonzero degree of truth but cannot be true; for this reason, this logic is called quasi-paraconsistent.},
doi={10.12691/ajss-2-6-1}
publisher={Science and Education Publishing}
}
