Non-linear Neutrosophic Numbers and Its Application to Multiple Criteria Performance Assessment

Abstract The concept of fuzzy set has been extended by neutrosophic sets to represent whose elements have different degrees membership characterized a truth-membership function, an indeterminacy-membership function and falsity-membership function. It is usually assumed that these functions are linear, hence excluding the possibility non-linearity in many decision-making situations. From alternative definition non-linear numbers, we develop concepts $$(\alpha ,\beta ,\gamma )$$ ( α , β γ ) -cuts, mean, variance, skewness new score These useful deal with multiple criteria decision making problems. We illustrate practical use means real case study supply chain risk management motor industry. Due fact used several areas decision-making, finance economics, argue our proposal contributes enhance application numbers.