Title :
An initial comparison of fuzzy sets and rough sets from the view of pansystems theory
Author :
Yongli Li ; Ying Liu ; Xiaoyan Wang
Author_Institution :
Sch. of Inf. Sci. & Eng., Lanzhou Univ., Gansu Province, China
Abstract :
This paper reviews the basic relation of classical set theory: membership relation (ε). From the inducement of membership relation we can get other relations or operations of set theory, such as part-whole relation one of which is inclusion relation (⊆), and body-shadow relation and so on. On the other hand this paper introduces our work about the integration of pansystems theory and rough set theory. And in the view of pansystems theory we compare theories of fuzzy sets and rough sets. Furthermore we get the initial conclusion that fuzzy set theory and rough set theory are both the generalizations of classical set theory but in different facets in a sense. One is the quantitative generalization of membership relation and the other is the qualitative generalization. So there are intrinsic connections between the two theories.
Keywords :
fuzzy set theory; rough set theory; system theory; body-shadow relation; fuzzy set; inclusion relation; membership relation; pansystem theory; part-whole relation; qualitative generalization; quantitative generalization; rough set; set theory; Fuzzy logic; Fuzzy set theory; Fuzzy sets; Helium; Information science; Mathematics; Multivalued logic; Rough sets; Set theory; Uncertainty; Fuzzy sets; generalization; pansystems theory; rough sets;
Conference_Titel :
Granular Computing, 2005 IEEE International Conference on
Print_ISBN :
0-7803-9017-2
DOI :
10.1109/GRC.2005.1547346