Title :
Interval sets and interval-set algebras
Author_Institution :
Dept. of Comput. Sci., Univ. of Regina, Regina, SK, Canada
Abstract :
An interval set is an interval in the power set lattice based on a universal set and is a family of subsets of the universal set. Interval sets and interval-set algebras provide a tool for modeling and processing partially known concepts and for approximating undefinable or complex concepts. Existing results on interval sets and interval-set algebras are reviewed and new results are given. Two types of interval-set algebras are examined based on an inclusion ordering and a knowledge ordering, respectively. Related studies are summarized.
Keywords :
algebra; set theory; complex concepts; inclusion ordering; interval-set algebras; knowledge ordering; power set lattice; Algebra; Computer science; Fuzzy sets; Knowledge representation; Lattices; Logic; Rough sets; Set theory; Sufficient conditions; Upper bound;
Conference_Titel :
Cognitive Informatics, 2009. ICCI '09. 8th IEEE International Conference on
Conference_Location :
Kowloon, Hong Kong
Print_ISBN :
978-1-4244-4642-1
DOI :
10.1109/COGINF.2009.5250723
