Lattice-valued logic and lattice-valued information theory

Lattice-valued information theory (LVIT) addresses the information representation of random events and fuzzy events. It is based on lattice-valued set theory and latticed-valued logic and provides a base for the practical application of multiple-valued logic. Lattice-valued information algebra is introduced, and the definitions and theory of lattice-valued information entropy (LVIE) are presented. The correspondence between LVIE and Shannon information entropy and between LVIE and fuzzy information entropy as well as the effectiveness for measuring semantic and pragmatic information is pointed out. The application of LVIT is illustrated.<
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