The Construction of Type-2 Fuzzy Reasoning Relations for Type-2 Fuzzy Logic Systems
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-09
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
Type-2 fuzzy reasoning relations are the type-2 fuzzy relations obtained from a group of type-2 fuzzy reasonings by using extended t-(co)norm, which are essential for implementing type-2 fuzzy logic systems.
In this paper an algorithm is provided for constructing type-2 fuzzy reasoning relations of SISO type-2 fuzzy logic systems.
First, we give some properties of extended t-(co)norm and simplify the expression of type-2 fuzzy reasoning relations in accordance with different input subdomains under certain conditions.
And then different techniques are discussed to solve the simplified expressions on the input subdomains by using the related methods on solving fuzzy relation equations.
Besides, it is pointed out that the computation amount level of the proposed algorithm is the same as that of polynomials and the possibility of applying the proposed algorithm in the construction of type-2 fuzzy reasoning relations is illustrated on several examples.
Finally, the calculation of an arbitrary extended continuous t-norm can be obtained as the special case of the proposed algorithm.
American Psychological Association (APA)
Zhao, Shan& Li, Hongxing. 2014. The Construction of Type-2 Fuzzy Reasoning Relations for Type-2 Fuzzy Logic Systems. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-473231
Modern Language Association (MLA)
Zhao, Shan& Li, Hongxing. The Construction of Type-2 Fuzzy Reasoning Relations for Type-2 Fuzzy Logic Systems. Journal of Applied Mathematics No. 2014 (2014), pp.1-13.
https://search.emarefa.net/detail/BIM-473231
American Medical Association (AMA)
Zhao, Shan& Li, Hongxing. The Construction of Type-2 Fuzzy Reasoning Relations for Type-2 Fuzzy Logic Systems. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-473231
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-473231