  This paper discusses the trapezoidal fuzzy number(TrFN); Interval-valued
intuitionistic fuzzy number(IVIFN); neutrosophic set and its operational laws;
and, trapezoidal neutrosophic set(TrNS) and its operational laws. Based on the
combination of IVIFN and TrNS, an Interval Valued Trapezoidal Neutrosophic Set
(IVTrNS) is proposed followed by its operational laws. The paper also presents
the score and accuracy functions for the proposed Interval Valued Trapezoidal
Neutrosophic Number (IVTrNN). Then, an interval valued trapezoidal neutrosophic
weighted arithmetic averaging (IVTrNWAA) operator is introduced to combine the
trapezoidal information which is neutrosophic and in the unit interval of real
numbers. Finally, a method is developed to handle the problems in the multi
attribute decision making(MADM) environment using IVTrNWAA operator followed by
a numerical example of NFRs prioritization to illustrate the relevance of the
developed method.
