Title :
Consistency, Continuity and Approximation Properties of CRI Algorithm and Triple I Method
Author :
Hou, Jian ; Yuan, Fei ; Mi, Hong-hai
Author_Institution :
Zhuhai Campus, Dept. of Appl. Math., Beijing Normal Univ., Zhuhai
Abstract :
In this paper, consistency, continuity and approximation properties of CRI algorithm and triple I method involved with ten fuzzy implication operators in common use are investigated. The conclusions show that CRI algorithm always possesses the continuity property for any implication operator, and R1, R4 styles of CRI algorithms possess consistency and approximation properties. And R0 ~ sim R9 styles of triple I methods possess the continuity properties, R0, R1, R3, R4, R5, R6 styles of triple I methods possess consistency and approximation properties.
Keywords :
fuzzy reasoning; fuzzy set theory; mathematical operators; CRI algorithm; approximation properties; compositional rule of fuzzy inference; consistency properties; continuity properties; fuzzy implication operator; triple I method; Algorithm design and analysis; Approximation algorithms; Fuzzy control; Fuzzy reasoning; Fuzzy sets; Fuzzy systems; Hybrid intelligent systems; Inference algorithms; Mathematical model; Mathematics; CRI algorithm; approximation; consistency; continuity; fuzzy implication operators; fuzzy reasoning; triple I method;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery, 2008. FSKD '08. Fifth International Conference on
Conference_Location :
Shandong
Print_ISBN :
978-0-7695-3305-6
DOI :
10.1109/FSKD.2008.310
