Chapter 23 - Multi-attribute decision-making problem in medical diagnosis using neutrosophic probabilistic distance measures

Abstract

This chapter introduces a general formula for the probabilistic distance measures in single-valued neutrosophic sets by defining the probability of occurrences, nonoccurrences, and indeterminacy occurrences of a neutrosophic event and shows that the difference of this distance measure from unity is a similarity measure. A new mathematical model is developed by using this probabilistic distance measure formula as a methodology on multi-attribute decision-making problems (MADM) to identify the decision attributes for each alternative by choosing the lowest single-valued neutrosophic probabilistic distance measure value. Moreover, a numerical example of the MADM problems in medical diagnosis is demonstrated for the effectiveness of the proposed methodology in a neutrosophic environment to find the disease of those who are suffering.