Fuzzy Plane Geometry: Triangles
| dc.contributor.author | Rosenfeld, Azriel | en_US |
| dc.date.accessioned | 2004-05-31T21:01:39Z | |
| dc.date.available | 2004-05-31T21:01:39Z | |
| dc.date.created | 1993-11 | en_US |
| dc.date.issued | 1998-10-15 | en_US |
| dc.description.abstract | (Also cross-referenced as CAR-TR-694) A fuzzy triangle T (with a discrete-valued membership function) can be regarded as a nest of parallel-sided triangles Ti with successively higher membership values. Such a nest is determined by its max projections on any two of its "sides". The area (per imeter) of T is a weighted sum of the areas (perimeters) of the Ti's. The side lengths and altitudes of T can also be defined as weighted sums obtained from projections; using these definitions, the perimeter of T is the sum of the side lengths, and the s ide lengths are related to the vertex angles by the Law of Sines, but there is no simple relationship between the area of T and the products of the side lengths and altitudes. | en_US |
| dc.format.extent | 93948 bytes | |
| dc.format.mimetype | application/postscript | |
| dc.identifier.uri | http://hdl.handle.net/1903/399 | |
| dc.language.iso | en_US | |
| dc.relation.isAvailableAt | Digital Repository at the University of Maryland | en_US |
| dc.relation.isAvailableAt | University of Maryland (College Park, Md.) | en_US |
| dc.relation.isAvailableAt | Tech Reports in Computer Science and Engineering | en_US |
| dc.relation.isAvailableAt | Computer Science Department Technical Reports | en_US |
| dc.relation.ispartofseries | UM Computer Science Department; CS-TR-3175 | en_US |
| dc.relation.ispartofseries | CAR-TR-694 | en_US |
| dc.title | Fuzzy Plane Geometry: Triangles | en_US |
| dc.type | Technical Report | en_US |