A method to aggregate crisp values into interval-valued intuitionistic fuzzy information for group decision making

Owing to the increasing complexity in modern society, aggregating group's knowledge and experiences to make an appropriate decision is an important research topic. The aim of this article is to present a soft computing model for multiple attribute group decision-making problems. This model aggregates all individual decisions on an attribute into an interval-valued intuitionistic fuzzy number (IVIFN), in which each individual decision as an attribute value is expressed in crisp value. Furthermore, we obtain a collective decision matrix, in which the attribute values are expressed by the aggregated IVIFNs. Then make a decision under intuitionistic fuzzy environment. To illustrate the decision process of the developed approach, we give an example for supplier selection and a sensitivity analysis with different attribute weights. Finally, we show a comparison with another group decision-making method from relevant literature.

Graphical abstractFigure optionsDownload full-size imageDownload as PowerPoint slideHighlights► A group decision-making method is introduced. ► Each individual decision as an attribute value is expressed in crisp value. ► Crisp attribute values are aggregated into an intuitionistic fuzzy information. ► Alternatives are ranked by using the aggregated intuitionistic fuzzy information. ► The aggregated information contains a large amount of crisp information.