Title :
Generalized Rough Fuzzy Sets Based on Soft Sets
Author_Institution :
Dept. of Appl. Math. & Appl. Phys., Xi´´an Inst. of Posts & Telecommun., Xi´´an
Abstract :
Dubois and Prade (1990) introduced the lower and upper approximations of fuzzy sets in a Pawlak approximation space, which initiated the concept of rough fuzzy sets. The present paper aims to combine the theories of fuzzy sets, rough sets and soft sets together. We consider the lower and upper approximations of fuzzy sets in terms of soft sets, which give rise to the new concepts of soft-rough approximations and soft-rough fuzzy sets extending Dubois and Prade´s rough fuzzy sets.
Keywords :
approximation theory; fuzzy set theory; rough set theory; Pawlak approximation space; lower-upper approximation; soft-rough approximation; soft-rough fuzzy set; Biomedical engineering; Data engineering; Fuzzy control; Fuzzy logic; Fuzzy set theory; Fuzzy sets; Mathematics; Rough sets; Set theory; 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.2009.5072885
