This book provides some fundamental background of fuzzy set, intuitionistic fuzzy set, soft set and complex intuitionistic fuzzy set with their definitions and various properties. In addition to this, we have also presented applications of these theories in statistical regression analysis, decision making and reliability evaluation of a system along with a brief literature survey. Further, the study of new intuitionistic fuzzy information measures, similarity measures, fuzzy linear regression model, intuitionistic fuzzy reliability and complex intuitionistic fuzzy soft sets with their...

This book provides study on reliability properties of residual life time and inactivity time, series and parallel system and decision making in intuitionistic fuzzy environment. Decision making generally depends on two factors - the amount of information associated with an alternative and the reliability of information. The theory of intuitionistic fuzzy set is well suited while dealing with imprecise or uncertain decision information, image edge detection, medical diagnosis, pattern recognition, human expressions like perception, knowledge and behaviour, by reflecting and modelling the...