A cubic set is a hybrid structure involving an interval-valued fuzzy set and a fuzzy set. A cubic soft set is a parameterized family of cubic sets. It is yet another hybrid structure obtained by combining cubic sets with soft sets. A generalized interval-valued intuitionistic fuzzy soft set is a further generalization of a cubic soft set where instead of interval component of cubic sets, we consider interval-valued intuitionistic fuzzy sets. This book is the outcome of the research work carried out by us towards finding the application of soft sets, cubic soft sets, Neutrosophic cubic soft...

A number of methods like Linear programming, Dynamic programming, Assignment problem, Transportation problem, Game theory etc., are examples of decision making under certainty. When there are uncertainties or vagueness in the data regarding alternatives and criteria, we can use different techniques for decision making based on whether the data involves probabilities, fuzzy sets, soft sets, rough sets and so on. This situation is called Multi-Criteria Decision Making (MCDM) under uncertainty. MCDM is considered to be a sub discipline of operations research that deals with structuring, planning...

A number of methods like Linear programming, Dynamic programming, Assignment problem, Transportation problem, Game theory etc. are examples of decision making under certainty. When there are uncertainties or vagueness in the data regarding alternatives and /or criteria, we use different techniques for decision making based on whether the data involves probabilities, fuzzy sets, soft sets, rough sets, neutrosophic sets or any other hybrid structure. Decision problem involving the evaluation of multiple criteria and alternatives are called multi-criteria decision making (MCDM) problem. The...