A fuzzy triangle T (with a discrete-valued membership function) can be regarded as a nest of parallel-sided triangles T/sub i/ with successively higher membership values. Such a nest is determined by its max projections on any two of its "sides". The area (perimeter) of T is a weighted sum of the areas (perimeters) of the T/sub i/'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 side 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.
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机译：模糊三角形T（具有离散值隶属函数）可以看作是具有依次更高的隶属度值的平行边三角形T / sub i /的嵌套。这样的巢由其在“侧面”的任何两个面上的最大投影确定。 T的面积（周长）是T / sub i /的面积（周长）的加权和。 T的边长和高度也可以定义为从投影获得的加权总和。使用这些定义，T的周长是边长的总和，并且根据锡涅斯定律，边长与顶角相关，但是T的面积与边长的乘积之间没有简单的关系和海拔。
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