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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Holcapek, M. Stepnicka, M. |
| Copyright Year | 2012 |
| Description | Author affiliation: Centre of Excellence IT4Innovations, Division of the University of Ostrava, Institute for Research and Applications of Fuzzy Modeling, 30. dubna 22, 70103, Czech Republic (Holcapek, M.; Stepnicka, M.) |
| Abstract | Up to our best knowledge, distinct so far existing arithmetics of fuzzy numbers, usually stemming from the Zadeh's extensional principle, do not preserve some of the important properties of the standard arithmetics of classical (real) numbers. Obviously, although we cannot expect that a generalization of standard arithmetic will preserve precisely all its properties however, at least the most important ones should be preserved. We present a novel framework of arithmetics of extensional fuzzy numbers that preserves more or less all the important (algebraic) properties of the arithmetic of real numbers and thus, seems to be an important seed for further investigations on this topic. The suggested approach arithmetics of extensional fuzzy numbers is demonstrated on many examples and besides the algebraic properties, it is also shown that it carries some desirable practical properties. |
| Starting Page | 1 |
| Ending Page | 8 |
| File Size | 834785 |
| Page Count | 8 |
| File Format | |
| ISBN | 9781467315074 |
| ISSN | 10987584 |
| e-ISBN | 9781467315067 |
| e-ISBN | 9781467315050 |
| DOI | 10.1109/FUZZ-IEEE.2012.6251274 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2012-06-10 |
| Publisher Place | Australia |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Fuzzy sets Standards Calculus Educational institutions Electronic mail Shape Computational intelligence |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Artificial Intelligence Theoretical Computer Science Software |
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