Abstract
An algorithm is presented for the computation of analytical expressions for the extremal values of the α-cuts of the fuzzy weighted average, for triangular or trapeizoidal weights and attributes. Also, an algorithm for the computation of the inverses of these expressions is given, providing exact membership functions of the fuzzy weighted average. Up to now, only algorithms exist for the computation of the extremal values of the α-cuts for a fixed value of α. To illustrate the power of our algorithms, they are applied to several examples from the literature, providing exact membership functions in each case.
| Original language | English |
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| Title of host publication | Proceedings of the International Joint Conference on Computational Intelligence, IJCCI 2009 |
| Subtitle of host publication | Funchal, Madeira, Portugal, October 5-7, 2009 |
| Editors | Antonio Dourado |
| Place of Publication | Setúbal |
| Publisher | INSTICC |
| Pages | 31-38 |
| Number of pages | 8 |
| ISBN (Print) | 978-989-674-014-6 |
| Publication status | Published - 2009 |
| Event | International Joint Conference on Computational Intelligence, IJCCI 2009 - Madeira, Portugal Duration: 5 Oct 2009 → 7 Oct 2009 |
Conference
| Conference | International Joint Conference on Computational Intelligence, IJCCI 2009 |
|---|---|
| Abbreviated title | IJCCI |
| Country/Territory | Portugal |
| City | Madeira |
| Period | 5/10/09 → 7/10/09 |
Keywords
- Fuzzy weighted average
- SE-SC: Soft Computing applied to Software Engineering
- Membership functions