Title :
Towards axiomatic foundations for defuzzification theory
Author_Institution :
Dept. of Comput. Sci., Dortmund Univ., Germany
Abstract :
The paper deals with the well-known defuzzification procedures on the one hand and approaches to axiomatize the concept of defuzzification, on the other hand. We present a new attempt to establish an axiomatic foundation for defuzzification theory using the theory of groups and the theory of partially ordered sets, and in particular, the theory of GALOIS connections
Keywords :
fuzzy set theory; group theory; GALOIS connections; axiomatic foundation; bijective transformation; defuzzification theory; fuzzy set theory; group theory; partially ordered sets; Australia; Circuits; Computer science; Extraterrestrial measurements; Fuzzy control; Fuzzy logic; Fuzzy sets; Gravity; Intelligent systems; World Wide Web;
Conference_Titel :
Knowledge-Based Intelligent Electronic Systems, 1998. Proceedings KES '98. 1998 Second International Conference on
Conference_Location :
Adelaide, SA
Print_ISBN :
0-7803-4316-6
DOI :
10.1109/KES.1998.725918
