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Abstract
The Oxford English dictionary defines the term fuzzy as not clear or vague. In 1965, Lotfi A Zadeh introduced the concept of mathematical representation of vague concept or imprecise boundaries as a fuzzy set in which each element have truth membership value in [0,1] . Fuzzy set became the effective tool to handle the vague concepts in day to day life problems. A generalization of fuzzy set theory, intuitionistic fuzzy was proposed by Attanassov in 1986 in which each element is associated with degree of member ship and non-membership values. As a generalization of fuzzy set and intuitionistic fuzzy set, neutrosophic set was defined with three different type of membership values by Smaranandache in 1995. In real world the practical problems are related with incomplete, indeterminate and inconsistent information. Neutrosophic set is a powerful tool and most appropriate frame work for dealing incomplete, indeterminate and inconsistent information. The main objective of this paper is study the physical properties of normalised orthogonal distance and similarity relation in nuetrosophic environment. Finally investigate the procedure and key role of neutrosophic distances in multi attribute decision making situations.