Title :
Rough numbers and computations
Author_Institution :
Dept. of Comput. Sci., Southern Illinois Univ., Edwardsville, IL, USA
Abstract :
Introduces a class of real numbers based on the concepts of rough sets and model numbers with respect to a given computer system. We call them rough numbers. We study their structures and define computation for rough numbers. To do so, we must revise ordinary interval computation from compact intervals to closed-open intervals for their initial intervals. This way, we can promise that the final resulting interval is always a shorter than the result from the ordinary interval computation. In addition, we address the mathematical properties for real numbers, dyadic numbers, and rough numbers
Keywords :
digital arithmetic; number theory; set theory; closed-open intervals; dyadic numbers; model numbers; real numbers; rough numbers; rough sets; Computer languages; Computer science; Digital arithmetic; Electronic mail; Knowledge representation; Power system modeling; Programming profession; Rough sets; Set theory; Upper bound;
Conference_Titel :
Fuzzy Systems Proceedings, 1998. IEEE World Congress on Computational Intelligence., The 1998 IEEE International Conference on
Conference_Location :
Anchorage, AK
Print_ISBN :
0-7803-4863-X
DOI :
10.1109/FUZZY.1998.687601