INTERVAL-VALUED DUAL HESITANT FUZZY INFORMATION AGGREGATION AND ITS APPLICATION IN MULTIPLE ATTRIBUTE DECISION MAKING

In this paper, we investigate the multiple attribute decision making (MADM) problems in which the attribute values take the form of interval-valued dual hesitant fuzzy elements (IVDHFEs). The existing t-norms and t-conorms, including the algebraic, Einstein, Frank and Hamacher t-norms and t-conorms, can be regarded as special cases of Archimedean t-norm and t-conorm. Firstly, we develop some new operational laws for IVDHFEs based on the Archimedean t-norm and t-conorm. Then, based on the operational laws, we define some interval-valued dual hesitant fuzzy aggregation operators and their generalizations are also introduced, and some desirable properties and the relationships of these operators are discussed in detail. Later, according to the Choquet integral and Archimedean t-norm and t-conorm, we propose some interval-valued dual hesitant fuzzy Choquet operators, such as interval-valued dual hesitant fuzzy Choquet ordered average (IVDHFCOA) operator and interval-valued dual hesitant fuzzy Choquet ordered geometric (IVDHFCOG) operator. Furthermore, we develop an approach to MADM under interval-valued dual hesitant fuzzy environment. Finally, an illustrative example for selecting a software development project is given to verify the developed method and to demonstrate its practicality and effectiveness.