Optimistic and pessimistic decision making based on interval-valued intuitionistic fuzzy soft sets

Xue Wen, Zhi Xiao¹

COMPUTER MODELLING & NEW TECHNOLOGIES 2014 18(12C) 1284-1290

¹ School of Economics and Business Administration, Chongqing University, Chongqing, China, 400044

This study explores the application of using the interval-valued intuitionistic fuzzy soft sets (IVIFSS) approach to the multi-criteria group decision making problem. Firstly, we define the concept of the IVIFSS value vector, including the IVIFSS weighted averaging, the optimistic IVIFSS value and the pessimism IVIFSS value. Then, some of their desirable properties are investigated in detail. Furthermore, we prove that the decision makers, as the parameter sets, and their IVIFSS value vector, as mapping rule, may be consider as a new IVIFSS for all decision makers and the vector of this IVIFSS could be considered as the valuation of the alternatives that all the decision makers decide, whose score functions could be rank the alternatives. Finally, an approach to multicriteria group decision making based on IVIFSS is given and an illustrative example is employed to show the validity of this approach.