Title :
Generation of non-transitive chains from rational-valued and real-valued fuzzy subsets under rough set theory
Author :
Murai, Tetsuya ; Nakata, Michinori ; Sato, Yoshiharu
Author_Institution :
Graduate Sch. of Eng., Hokkaido Univ., Sapporo, Japan
Abstract :
A previous way of generating the so-called non-transitive chain from fuzzy subsets using rough set theory (T. Murai et al., 1997, 1998) can only be applied to rational-valued fuzzy subsets. In this paper, an algorithm for generating a non-transitive chain is first described. Then, the algorithm is applied to real-valued fuzzy subsets adopting approximation in the usual sense
Keywords :
approximation theory; fuzzy set theory; rough set theory; approximation; nontransitive chain generation; rational-valued fuzzy subsets; real-valued fuzzy subsets; rough set theory; Approximation algorithms; Educational institutions; Fuzzy set theory; Fuzzy sets; Fuzzy systems; Information science; Intelligent systems; Rough sets; Set theory; Systems engineering and theory;
Conference_Titel :
Knowledge-Based Intelligent Engineering Systems and Allied Technologies, 2000. Proceedings. Fourth International Conference on
Conference_Location :
Brighton
Print_ISBN :
0-7803-6400-7
DOI :
10.1109/KES.2000.884116
