Soft Interval-Valued Intuitionistic Fuzzy Rough Sets

The vagueness or the representation of imperfect knowledge has been a problem for a long time for the mathematicians. There are many mathematical tools for dealing with uncertainties; some of them are fuzzy set theory, rough set theory, and soft set theory. In this chapter, the concept of soft interval-valued intuitionistic fuzzy rough sets is introduced. Also some properties based on soft interval-valued intuitionistic fuzzy rough sets are presented. Also a soft interval-valued intuitionistic fuzzy rough set-based multi-criteria group decision-making scheme is presented. The proposed scheme is illustrated by an example regarding the car selection problem.

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