Contributions to the study of fuzzy soft set and its applications

Abstract

newline This thesis entitled Contributions to the Study of Fuzzy Soft Set and newlineits Applications consists of seven chapters. newlineThe First Chapter is introductory in nature that includes newlineLiteratureSurvey, Development of Conceptual Ideas and their Results. The newlineMotivation and the Scope of the thesis have also been mentioned. newlineThe Second chapter discusses the concept of Fuzzy Soft group and newlineinvestigates some of their related properties and also define the level subsets newlineof a normal fuzzy soft subgroup and some of its properties are proved. newline The Third chapter discusses the study of fuzzy soft ring andQ- fuzzy newlinesoft ring by combining soft set theory. The notions of fuzzy soft ring andQfuzzy soft ring are defined and structural characteristics are investigated. newlineSome of their related properties are also proved. The Fourth chapter discusses the concept of Fuzzy Soft ideals over a newlinecollection of Soft Sets and study their related properties and also define the newlinemaximum and minimum conditions in fuzzy soft lattice. In addition, we newlineCharacterize Fuzzy Soft Modularity and Fuzzy Soft Distributivityof Fuzzy newlineSoft Lattices of Fuzzy Soft Ideals. newlineThe Fifth chapter deals the application of fuzzy soft sets. In this chapter newlinewe discussed about Decision making problemsand medical diagnosis using newlinefuzzy soft set based on real life problems. newlineThe Sixth chapter develops the notion of distance and similarity newlinemeasure of IFSS and also define similarity measures of IFSS based on newlinenormalized hamming distance and also discusses the concept of similarity newlinemeasure of IFSS based on distance and their application in medical diagnosis. newline The Seventh and the concluding chapter of this work contains the total newlinesummary of the thesis highlighting all the new findings with suggestions for newlinefuture researchers to probe and develop more concepts which may easy newlinesolving problems in the fields of science and technology