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

Volume

1

fYear

2008

fDate

18-20 Oct. 2008

Firstpage

220

Lastpage

224

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems and Knowledge Discovery, 2008. FSKD '08. Fifth International Conference on

Conference_Location

Shandong

Print_ISBN

978-0-7695-3305-6

Type

conf

DOI

10.1109/FSKD.2008.310

Filename

4665972