Fuzzy risk analysis in familial breast cancer using a similarity measure of interval-valued fuzzy numbers

Abstract

In this work, a new similarity measure was proposed based on the heights and areas of interval-valued trapezoidal fuzzy numbers. Some properties corresponding to the proposed similarity measure were illustrated. A comparison with the different existing similarity-measurement techniques demonstrated that the proposed method gave better results, overcoming the drawbacks of the existing methods. The proposed similarity-measurement technique was applied to the prediction of risk in the burning problem of Familial Breast Cancer (FBC). Finally, a numerical illustration for FBC was given using interval-valued trapezoidal fuzzy numbers.