Title :
The Structure of Pan-Operator with Idempotent Pan-Addition
Author :
Tong, Xiao-jun ; Zeng, Shan ; Zhou, Kang ; Huang, Qiu-ming ; Wang, Wen-ke
Author_Institution :
Wuhan Polytech. Univ., Wuhan
Abstract :
Based on semi-group theory, special properties of identity element and the idempotent of pan-multiplication, the case of idempotent pan-additions are studied. Our results show the "open problem" posted by Mesiar and Rybarik in 1995 has been settled.
Keywords :
fuzzy set theory; group theory; fuzzy set theory; idempotent pan-addition; identity element; pan-operator; semigroup theory; Communication system control; Commutation; Cybernetics; Fuzzy logic; Fuzzy reasoning; Fuzzy sets; Fuzzy systems; Machine learning; Mathematics; Physics; Commutative isotonic semi-ring; Semi-group; The structure of pan-operation;
Conference_Titel :
Machine Learning and Cybernetics, 2007 International Conference on
Conference_Location :
Hong Kong
Print_ISBN :
978-1-4244-0973-0
Electronic_ISBN :
978-1-4244-0973-0
DOI :
10.1109/ICMLC.2007.4370579
