Interval valued intuitionistic fuzzy soft set relations

نویسندگان

  • Anjan Mukherjee
  • Abhijit Saha
  • Ajoy Kanti Das
چکیده

In this paper the concept of interval valued intuitionistic fuzzy soft set relations (IVIFSS-relations for short) is proposed. Our relations on interval valued intuitionistic fuzzy soft sets is an extension of the relations on intuitionistic fuzzy soft sets, introduced by Mukherjee and Chakraborty in 2009. The basic properties of the IVIFSS-relations are also presented and discussed. It is seen that the sub collection of the family of IVIFSS-relations form a relational topology. Also various types of IVIFSSrelations are presented. Then a solution to a decision making problem using IVIFSS-relation is presented. Finally the lower and upper soft interval valued intuitionistic fuzzy rough approximations of a IVIFSS-relation with respect to a soft interval valued intuitionistic fuzzy approximation space are presented. 2010 AMS Classification: 03E722, 54A40, 06D72.

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تاریخ انتشار 2013