Abstract
In this article, we develop the definition of the degree of fuzziness for a polygonal fuzzy set. First of all we take a polygon of sides 2n + 1 and then we calculate its area. Also we consider the area of an half ellipse whose length of major axis are the length of the fuzzy interval of the given fuzzy set and its semi minor axis is 1. We construct the relative error as the measure of the degree of fuzziness and present the index value of the fuzzy parameter after K years and its role in modern decision making problems. Finally real life applications are discussed to justify the novelty of the new method.
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