Abstract

We present several results on de Morgan algebras and Kleene algebras of fuzzy logic. The main results include (1) a necessary and sufficient condition for a de Morgan algebra to be a Kleene algebra, (2) equivalence of some expressions, (3) some properties about de Morgan algebras with sup W/sup +/ and inf W/sup -/, (4) some properties of the de Morgan algebras which satisfy certain special conditions, (5) a method to obtain all fixed points of a de Morgan algebra and (6) extensions of some theorems on complete de Morgan algebras that have fixed points to the general case.

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