Semisimple algebras of infinite valued logic and Bold fuzzy set theory. (English) Zbl 0625.03009

In this paper, the author studies the MV-algebras and their relation to Bold fuzzy set theory in the case of infinite-valued logic. The methods used, especially those in section 3, are very interesting. Throughout the paper, we can have a good look at the structure and the properties of MV- algebras and semisimple algebras, and understand well the relation mentioned above.
Reviewer: Wang Peizhuang


03B50 Many-valued logic
03E72 Theory of fuzzy sets, etc.
03G25 Other algebras related to logic
03B52 Fuzzy logic; logic of vagueness
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