Title :
Advances in fuzzy quotient space theory
Author :
Lin, Renbing ; Wang, Jiyi
Author_Institution :
Dept. of Basic Courses, Zhejiang Shuren Univ., Hangzhou
Abstract :
This paper is devoted to the discussion of necessary and sufficient conditions for isomorphism(the same structure) of fuzzy sets. epsiv - similarity of fuzzy sets is proposed. A new method to prove epsiv - similarity of fuzzy equivalence relation is given, which is more generalized than those in the references. Some conclusions further about fuzzy quotient space for arbitrary threshold are extended.
Keywords :
fuzzy set theory; epsiv-similarity; fuzzy equivalence relation; fuzzy quotient space theory; fuzzy sets; isomorphism; Fuzzy set theory; Fuzzy sets; Information science; Mathematics; Path planning; Problem-solving; Space technology; fuzzy equivalence relation; fuzzy quotient space; fuzzy set;
Conference_Titel :
Granular Computing, 2008. GrC 2008. IEEE International Conference on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-4244-2512-9
Electronic_ISBN :
978-1-4244-2513-6
DOI :
10.1109/GRC.2008.4664784
