The Construction of Type-2 Fuzzy Reasoning Relations for Type-2 Fuzzy Logic Systems
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...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/459508 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | 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. |
|---|---|
| ISSN: | 1110-757X 1687-0042 |