Fuzzy multicriteria decision-making method based on a family of novel measured functions under vague environment

There exist several types of measured functions that have been widely used for handling fuzzy multicriteria decision-making problems with vague (interchangeably, intuitionistic fuzzy) information. The main goal of this paper is to present firstly a comparative study of some existing measured functions underling their counter-intuitive examples and then a family of novel measured functions under vague environment is introduced.