ABSTRACT

Mathematical models have been used extensively in real world problems related to engineering, computer sciences, and economics, social, natural and medical sciences. They are valuable mathematical tools to study the behavior and aspects of a system and its subsystems. Fuzzy set theory has evolved as an important tool to resolve the issues of uncertainty and ambiguity. The contribution made by probability theory, fuzzy set theory, vague sets, rough sets and interval mathematics to deal with uncertainty is of critical. There are certain limitations and deficiencies pertaining to the parametrization in fuzzy set theory. The problem of inadequacy of parameters has been successfully solved by soft set theory which provides enough tools to deal with uncertainty in a data and represent it in a useful way. The chapter deals with the results of fixed point theory based on existing literature of soft set theory and restrictions in soft metric spaces.