Journal article Open Access
Abdel Nasser H. Zaied; Mahmoud Ismail; Abduallah Gamal
This study provides a novel integrated multi-criteria decision-making approach to supplier selection problems in neu-trosophic environment. The main objective is to study the Analytic network process (ANP) technique in environment of neutro-sophic and present a new method for formulation problem of Multi-Criteria Decision-Making (MCDM) in network structure out of neutrosophic and present a way of checking and calculating consistency consensus degree of decision makers. We have used neutrosophic set theory in ANP to overcome the problem that the decision makers might be have restricted knowledge or differ-ences opinions of individuals participating in group decision making to specify deterministic valuation values to comparison judgments. We have formulated that each pairwise comparison judgment as a trapezoidal neutrosophic number. The decision makers specify the weight criteria of each criteria in the problem and compare between each criteria and effect of each criteria on other criteria Whenever number of alternatives increasing it’s difficult to make a consistent judgments because the workload of giving judgments by each expert. We have introduced a real life example in the research of how to select personnel mobile according to opinion of decision makers. Through solution of a numerical example we present steps of how formulate problem in ANP by Neutrosophic.