Name
Abstract | ||
|---|---|---|
Zadeh's extension principle (ZEP) is a fundamental concept in fuzzy set (FS) theory that enables crisp mathematical operation on FSs. A well-known shortcoming of ZEP is that the height of the output FS is determined by the lowest height of the input FSs. In this article, we introduce a generalized extension principle (GEP) that eliminates this weakness and provides flexibility and control over how membership values are mapped from input to output. Furthermore, we provide a computationally efficient point-based FS representation. In light of our new definition, we discuss two approaches to perform aggregation of FSs using the Choquet integral. The resultant integrals generalize prior work and lay a foundation for future extensions. Last, we demonstrate the extended integrals via a combination of synthetic and real-world examples. |
Year | DOI | Venue |
|---|---|---|
2021 | 10.1109/TFUZZ.2020.3006574 | IEEE Transactions on Fuzzy Systems |
Keywords | DocType | Volume |
Choquet integral (ChI),extension principle,fuzzy arithmetic,fuzzy integral (FI),fuzzy set | Journal | 29 |
Issue | ISSN | Citations |
9 | 1063-6706 | 0 |
PageRank | References | Authors |
0.34 | 10 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| muhammad aminul islam | 1 | 14 | 5.66 |
| Derek T. Anderson | 2 | 150 | 25.17 |
| Timothy C. Havens | 3 | 97 | 13.53 |
| John E. Ball | 4 | 38 | 9.80 |