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

fYear

1989

fDate

29-31 May 1989

Firstpage

235

Lastpage

240

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Multiple-Valued Logic, 1989. Proceedings., Nineteenth International Symposium on

Conference_Location

Guangzhou

Print_ISBN

0-8186-1947-3

Type

conf

DOI

10.1109/ISMVL.1989.37789

Filename

37789