Rule Base Simplification by Using a Similarity Measures of Fuzzy Sets
Year
: 2012
Abstract: In fuzzy models, redundancy may be present in the form of similar fuzzy sets, especially in the construction of a fuzzy system from a set of given training examples. In this paper, a simple formula for calculating the degree of similarity of Trapezoidal membership functions is derived in order to merge similar membership functions and hence to obtain a more transparent rule-base with a minimum number of membership functions. A simplification algorithm by using the proposed similarity measure has been applied to fuzzy models of nonlinear functions approximation.
Keyword(s): Interpretability,fuzzy rule base simplification,distinguishability,similarity measure,trapezoidal membership functions
Collections
:
-
Statistics
Rule Base Simplification by Using a Similarity Measures of Fuzzy Sets
Show full item record
| contributor author | بابک رضائی خبوشان | en |
| contributor author | Babak Rezaee Khabooshan | fa |
| date accessioned | 2020-06-06T13:13:56Z | |
| date available | 2020-06-06T13:13:56Z | |
| date issued | 2012 | |
| identifier uri | http://libsearch.um.ac.ir:80/fum/handle/fum/3346857?locale-attribute=en | |
| description abstract | In fuzzy models, redundancy may be present in the form of similar fuzzy sets, especially in the construction of a fuzzy system from a set of given training examples. In this paper, a simple formula for calculating the degree of similarity of Trapezoidal membership functions is derived in order to merge similar membership functions and hence to obtain a more transparent rule-base with a minimum number of membership functions. A simplification algorithm by using the proposed similarity measure has been applied to fuzzy models of nonlinear functions approximation. | en |
| language | English | |
| title | Rule Base Simplification by Using a Similarity Measures of Fuzzy Sets | en |
| type | Journal Paper | |
| contenttype | External Fulltext | |
| subject keywords | Interpretability | en |
| subject keywords | fuzzy rule base simplification | en |
| subject keywords | distinguishability | en |
| subject keywords | similarity measure | en |
| subject keywords | trapezoidal membership functions | en |
| journal title | Journal of Intelligent and Fuzzy Systems | fa |
| pages | 193-201 | |
| journal volume | 23 | |
| journal issue | 5 | |
| identifier link | https://profdoc.um.ac.ir/paper-abstract-1035844.html | |
| identifier articleid | 1035844 |