Novel approach to group multi-criteria decision making based on interval rough numbers

TLDR: A hybrid multi-criteria model was developed based on IRN, and demonstrated using the example of the bidder selection process in the state administration public procurement procedure, which showed high stability of the results.

Abstract: Interval rough number is introduced to deal with the vagueness in decision-making.A novel DEMATEL-ANP model based oninterval rough numbers.Application of a new multi-criteria technique called MARICA.An interval rough number based on MARICA is proposed to evaluate the alternatives.Multi-criteria techniques were compared based on interval rough and fuzzy approaches. This paper presents a novel approach for treating uncertainty in the multi-criteria decision making process by introducing interval rough numbers (IRN). The IRN approach enables decision making using only the internal knowledge incorporated in the data provided by the decision maker. A hybrid multi-criteria model was developed based on IRN, and demonstrated using the example of the bidder selection process in the state administration public procurement procedure. The first segment of the hybrid model deals with the rough interval DEMATEL-ANP (IR'DANP) model, which enables more objective expert evaluation of criteria in a subjective environment than the traditional/crisp approach. In the second segment, the evaluation is enabled by applying the new rough interval MAIRCA method, which introduces mathematical tools and shows high stability concerning changes in the nature and characteristics of the criteria. The results of the hybrid IR'DANP-MAIRCA model were analyzed using 36 scenarios of sensitivity analysis, which showed high stability of the results. The results of the interval rough method were compared with the fuzzy extensions of the TOPSIS, VIKOR, MABAC, TODIM, ELECTRE I and DEMATEL-ANP models.

Figures

Figure 1. Evaluation of criteria – an interval rough and fuzzy evaluation In addition to the fuzzy approach, these imprecisions can also be represented by interval rough numbers. Since in the above-mentioned equations (1) through (12) an IRN is composed of two rough sequences, the following two

Frequently asked questions

Q1. What are the contributions in "Novel approach to group multi-criteria decision making based on interval rough numbers: hybrid dematel-anp-mairca model" ?

This paper presents a novel approach for treating uncertainty in the multi-criteria decision making process by introducing interval rough numbers ( IRN ). The IRN approach enables decision making using only the internal knowledge incorporated in the data provided by the decision maker. In the second segment, the evaluation is enabled by applying the new rough interval MAIRCA method, which introduces mathematical tools and shows high stability concerning changes in the nature and characteristics of the criteria. 

Q2. What are the future works mentioned in the paper "Novel approach to group multi-criteria decision making based on interval rough numbers: hybrid dematel-anp-mairca model" ?

The results and sensitivity analysis of the IR model show significant stability of the results and point towards successful use of the model in the future. Since this novel approach is still underrepresented in the literature and in MCDM, future research should be based on the application of IRN in crisp models for determining the weight coefficients of criteria ( for example, the interval rough AHP model or the interval rough Best-Worth method, ). Further integration of the interval rough approach into existing MCDM models would make a significant contribution to dealing with both uncertainty and subjectivity in the decision making process.