Convexity for Interval Valued Neutrosophic Setsand its Application in Decision Making

Abstract

 The notion Convexity is applied in various areas of mathematics particularly in optimization tech
niques. It is known that this concept is applied in fuzzy sets, which is studied by many authors. This article
 deals with convexity utilized for neutrosophic and interval valued neutrosophic sets which is a generalization of
 intuitionistic fuzzy sets. Also some interesting preservation properties of convexity under intersection operators
 in interval valued neutrosophic sets are discussed. Adding to the discussion, preservation property of digital
 convexity under intersection using deformation and other techniques are touched upon. Eventually the appli
cation of convexity to decision making are illustrated using examples.