Soft Interval-Valued Intuitionistic Fuzzy Rough Sets

Chapter
First Online:
Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 324)

Abstract

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.

Keywords

Soft set Rough set Soft rough set Soft fuzzy rough set Soft interval-valued intuitionistic fuzzy rough set Decision-making 
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Copyright information

© Springer India 2015

Authors and Affiliations

  1. 1.Department of MathematicsTripura UniversityAgartalaIndia

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