A Statistical Study for Quantifier-Guided Dominance and Non-Dominance Degrees for the Selection of Alternatives in Group Decision Making Problems
In a group decision making problem the selection process is decisive to find a solution. In these problems there is a widespread agreement to use fuzzy preference relations to express different preferences about possible alternatives. Previous papers have proposed different selection methods in this context. An usual way is the use of a ranking method to obtain a classification of the alternatives. One of the methods used is based on two choice degrees: quantifier guided dominance degree and quantifier guided non-dominance degree. This paper presents a limited comparative study about the application of the two previously cited quantifier guided choice degrees. By using statistical tools, it is concluded that both choice degrees can offer significantly different rankings of alternatives. In addition, it has been observed that the variability of the alternatives in the ranking obtained by dominance choice degree is generally greater, which may facilitate a better discrimination between different alternatives.
KeywordsGroup decision making Fuzzy preferences Dominance choice degree Non-Dominance choice degree
The authors would like to acknowledge FEDER financial support from the Projects TIN2013-40658-P and TIN2016-75850-R.
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