Approach to interval-valued intuitionistic fuzzy multiple attribute decision making with preference information

With respect to interval-valued intuitionistic fuzzy multiple attribute decision making problems with preference information on alternatives and unknown weight information, some functions and a new entropy were proposed. To gain the weights of the attributes, a new method was proposed based on the entropy and the deviation between values of the preference and values of the attributes. Next, a formula of interval-valued intuitionistic fuzzy numbers correlation coefficient with attribute weights was defined and then a method for ranking the alternatives was proposed. Finally, the method was used as an example to verify its simplicity and effectiveness.