论文信息 - MV-ALGEBRA VALUED FILTER THEORY

MV-ALGEBRA VALUED FILTER THEORY

Abstract Let M be a complete MV-algebra with square roots. Then every M-valued filter can be represented as “intersection” of an appropriate family of maximal M-valued filters. In the case of M = [0,1] maximal [0,1]-valued filters and finitely additive probability measures come to the same thing.

Höhle Ulrich

[1] L. P. Belluce,et al. Semi-simple and complete MV-algebras , 1992 .

[2] Herbert B. Enderton,et al. A mathematical introduction to logic , 1972 .

[3] Ulrich Höhle,et al. Probabilistic topologies induced by L-fuzzy uniformities , 1982 .

[4] C. Chang,et al. Algebraic analysis of many valued logics , 1958 .

[5] R. Lowen. Convergence in fuzzy topological spaces , 1977 .

[6] U. Höhle. M-valued Sets and Sheaves over Integral Commutative CL-Monoids , 1992 .

[7] P. Wuyts,et al. Concerning the constants in fuzzy topology , 1988 .