Publication

Abstract : The distance measure is a great resource to analyse the disparity of Fermatean fuzzy set (FFSs), which significantly deals the ambiguity. Although prior research offered plenty of distance measurements for FFSs, most of those fail to satisfy the distance constraints or build contradictions. Therefore, in this investigation, we offer a unique distance measure made up of an aspect of FFS. In the context of consistency among the two FFSs, the new distance measure is formulated using the fundamental function that comprises the membership, non-membership, and hesitation grades. It indicates that the recommended measure possesses the features of the formal meaning of the distance measure. A comparison with prior measures of distance to the presented distance measure reveals that the offered measure of distance does not yield any adverse events. Moreover, research investigations on multi-criteria decision-making (MCDM), image fusion and image segmentation challenges confirm the suggested distance measure’s practical usefulness.