Soft Interval-Valued Intuitionistic Fuzzy Rough Sets [chapter]

Anjan Mukherjee
2015 Studies in Fuzziness and Soft Computing  
Soft set theory, fuzzy set theory and rough set theory are all mathematical tools for dealing with uncertainties and are closely related. Feng et al. introduced the notions of rough soft set, soft rough set and soft rough fuzzy set by combining fuzzy set, rough set and soft set all together. This paper is devoted to the discussions of the combinations of intervalvalued intuitionistic fuzzy set, rough set and soft set. A new model, namely soft interval-valued intuitionistic fuzzy rough set is
more » ... posed and it's properties are derived. 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. 2010 AMS Classification: 03E72, 90B50, 54A40, 06D72
doi:10.1007/978-81-322-2458-7_9 fatcat:7czowzaa55fdpp33poychaybv4