فهرست نشریات علمی دسترسی آزاد ایران

This paper aim to proposes a novel approach to the site selection problem by utilizing the fuzzy distance of Generalized Trapezoidal Fuzzy Numbers (GTrFNs). The study defines a new distance measure for GTrFNs that considers the point of intersection, left spread, right spread, and their weights. This measure also works with Generalized Triangular Fuzzy Numbers (GTFNs) and crisp numbers. Based on the proposed distance measure, the paper then presents a similarity measure for GTrFNs. The presented method is compared with those existing methods to show the advantage of the proposed method. The application potential of these methods is discussed, highlighting their usefulness in various decision-making processes and risk analysis. The key contributions of this work are the development of a comprehensive distance measure for GTrFNs and the derivation of a corresponding similarity measure. Using these measure a site selection problem is discussed to select the study center as a problem and also risk analysis is carried out as a application of similarity measure of the GTrFNs. The sensitivity analysis and comparative analysis for the examples is performed to validate the results.