The purpose of this paper is to present quality clay-brick selection approach based on multi-attribute decision making with single valued neutrosophic grey relational analysis. Brick plays a significant role in construction field. So it is important to select quality clay-brick for construction based on suitable mathematical decision making tool. There are several selection methods in the literature. Among them decision making with neutrosophic set is very pragmatic and interesting. Neutrosophic set is one tool that can deal with indeterminacy and inconsistent data. In the proposed method, the rating of all alternatives is expressed with single-valued neutrosophic set which is characterized by truth-membership degree (acceptance), indeterminacy membership degree and falsity membership degree (rejection). Weight of each attribute is determined based on experts’ opinions. Neutrosophic grey relational coefficient is used based on Hamming distance between each alternative to ideal neutrosophic estimates reliability solution and ideal neutrosophic estimates unreliability solution. Then neutrosophic relational degree is used to determine the ranking order of all alternatives (bricks). An illustrative numerical example for quality brick selection is solved to show the effectiveness of the proposed method
