The Interval Rough Number of the Extended ARAS Method for Solving Multi-Criteria Group Decision Making

In Multi-criteria-group decision making (MCGDM) problems dealing with qualitative information, the experts express their judgments about alternatives according to their degree of knowledge. It is difficult that experts provide precisely their preference about alternatives according to criteria. The interval rough number (IRN) achieved a high attraction to handle this ambiguity in many MCGDM problems. The main objective of this contribution is to create the IRN of the extended linguistic hierarchical ARAS method (IRN-ELH-ARAS) taking into account decision makers uncertainty. A MCGDM case study is given to illustrate the efficiency of the proposed approach. This example is related to the choice of the best option to invest a sum of money for an investment company.