Title :
Lattice-valued logic and lattice-valued information theory
Author :
Chensheng, Pan ; Minfeng, Cui ; Liu Yunfeng
Author_Institution :
Dept. of Comput., Shenyang Inst. of Technol., China
Abstract :
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
Keywords :
many-valued logics; Shannon information entropy; fuzzy events; fuzzy information entropy; information representation; lattice-valued information entropy; lattice-valued information theory; lattice-valued set theory; latticed-valued logic; multiple-valued logic; random events; Boolean algebra; Electrostatic precipitators; Information theory; Lattices; Logic; Marine vehicles; Mathematics; Set theory; Vents;
Conference_Titel :
Multiple-Valued Logic, 1989. Proceedings., Nineteenth International Symposium on
Conference_Location :
Guangzhou
Print_ISBN :
0-8186-1947-3
DOI :
10.1109/ISMVL.1989.37789
