Interval-Set Algebra for Qualitative Knowledge Representation

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.

• Type: Conference
• Year: 1993
• Where: ICCI
• Authors: Y. Y. Yao
• Keywords: Applied Computing, Corresponding Set-theoretic Operations, ICCI 1993, Interval Sets, Interval-set Algebra