Title :
Interval-set algebra for qualitative knowledge representation
Author_Institution :
Dept. of Math. Sci., Lakehead Univ., Thunder Bay, Ont., Canada
Abstract :
The notion of interval sets is introduced as a new kind of sets, represented by a pair of sets, namely, the lower and upper bounds. The interval-set algebra may be regarded as a counterpart of the interval-number algebra. It provides a useful tool to represent qualitative information. Operations on interval sets are also defined, based on the corresponding set-theoretic operations on their members. In addition, basic properties of interval-set algebra are examined, and the relationships between interval sets, rough sets and fuzzy sets are analyzed
Keywords :
fuzzy set theory; inference mechanisms; knowledge representation; fuzzy sets; interval-number algebra; interval-set algebra; lower bounds; pair of sets; qualitative knowledge representation; rough sets; set-theoretic operations; upper bounds; Algebra; Arithmetic; Error analysis; Fuzzy sets; Information analysis; Knowledge representation; Lakes; Marine vehicles; Rough sets; Upper bound;
Conference_Titel :
Computing and Information, 1993. Proceedings ICCI '93., Fifth International Conference on
Conference_Location :
Sudbury, Ont.
Print_ISBN :
0-8186-4212-2
DOI :
10.1109/ICCI.1993.315346
