Fuzzy Plane Geometry: Triangles

dc.contributor.authorRosenfeld, Azrielen_US
dc.date.accessioned2004-05-31T21:01:39Z
dc.date.available2004-05-31T21:01:39Z
dc.date.created1993-11en_US
dc.date.issued1998-10-15en_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.extent93948 bytes
dc.format.mimetypeapplication/postscript
dc.identifier.urihttp://hdl.handle.net/1903/399
dc.language.isoen_US
dc.relation.isAvailableAtDigital Repository at the University of Marylanden_US
dc.relation.isAvailableAtUniversity of Maryland (College Park, Md.)en_US
dc.relation.isAvailableAtTech Reports in Computer Science and Engineeringen_US
dc.relation.isAvailableAtComputer Science Department Technical Reportsen_US
dc.relation.ispartofseriesUM Computer Science Department; CS-TR-3175en_US
dc.relation.ispartofseriesCAR-TR-694en_US
dc.titleFuzzy Plane Geometry: Trianglesen_US
dc.typeTechnical Reporten_US

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