Neutrosophic sets and its applications to decision making

Abstract

This chapter introduces a new emerging tool for uncertain data processing which is known as neutrosophic sets. A neutrosophic set has the potentiality of being a general framework for uncertainty analysis in data sets also including big data sets. Here useful techniques like distance and similarity between two neutrosophic sets have been discussed. These notions are very important in the determination of interacting segments in a data set. Also the notion of entropy has been introduced to measure the amount of uncertainty expressed by a neutrosophic set. Further the notion of neutrosophic sets have been generalized and combined with soft sets to form a new hybrid set called interval valued neutrosophic sets. Some important properties of these sets under various algebraic operations have also been shown here.