Title :
Soft Rough Sets with Applications to Demand Analysis
Author :
Feng, Feng ; Liu, Xiaoyan
Author_Institution :
Dept. of Appl. Math. & Appl. Phys., Xi´´an Inst. of Posts & Telecommun., Xi´´an
Abstract :
The theory of rough sets was initiated by Pawlak in 1982. Later on, Molodtsov proposed the concept of a soft set, which can be seen as a new mathematical approach to vagueness. The present paper aims to combine the soft set approach with rough set theory, which gives rise to the new concepts of soft approximation spaces, soft rough approximations and soft rough sets. We investigate some basic properties of soft rough approximations and introduce several related notions. Moreover, we discuss applications of soft rough sets to demand analysis with an illustrating example.
Keywords :
approximation theory; rough set theory; demand analysis; soft approximation spaces; soft rough approximations; soft rough sets; Artificial intelligence; Biomedical engineering; Data engineering; Environmental economics; Mathematics; Physics; Rough sets; Set theory; Signal analysis; Uncertainty;
Conference_Titel :
Intelligent Systems and Applications, 2009. ISA 2009. International Workshop on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-3893-8
Electronic_ISBN :
978-1-4244-3894-5
DOI :
10.1109/IWISA.2009.5073114
