On the Neutrosophic Algebraic Structures Involving Similarity and the Symmetry Properties on the Neutrosophic Interval Probability

Abstract

The neutrosophic interval statistical number (NISN) has been known to be very useful in expressing the interval values under indeterminate environments. One of the essential and so important  useful as  tools for measuring the  degree of similarity between sets of given  objects is the similarity measure . In this  paper, neutrosophic numbers as well as  the generalized Dice similarity measure for neutrosophic numbers for two sets are defined after which the axioms of fuzziness similarity and symmetry satisfying the  NISN the properties were proved.