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Ranking alternatives using fuzzy numbers. (English) Zbl 0567.90057

The proposed method may be shortly described as follows: n experts evaluate m alternatives with respect to K criteria. All the evaluations consist of fuzzy numbers \(a^ k_{ij}\) (a number assigned to the i-th alternative by the j-th expert for the k-th criterion) and \(b_{kj}\) (the importance of the k-th criterion for the j-th expert), \(i=1,...,m\), \(j=1,...,n\), \(k=1,...,K\). These fuzzy numbers are then used to calculate the average evaluations \(w_ i\) (being also fuzzy numbers), \(i=1,...,m\). To this purpose the extended operations on fuzzy numbers are used. To determine the final ranking of the alternatives a certain method of ranking fuzzy numbers is utilized.
Reviewer: S.Chanas

MSC:

90B50 Management decision making, including multiple objectives
03E72 Theory of fuzzy sets, etc.
91B08 Individual preferences
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References:

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