Fuzzy hierarchical analysis: the Lambda-Max method
Fuzzy Sets and Systems - Special issue on clustering and learning
Computers and Operations Research
Acceptable consistency analysis of interval reciprocal comparison matrices
Fuzzy Sets and Systems
A fuzzy extension of Saaty's priority theory
Fuzzy Sets and Systems
A new method of obtaining the priority weights from an interval fuzzy preference relation
Information Sciences: an International Journal
An information mining method for deriving weights from an interval comparison matrix
Mathematical and Computer Modelling: An International Journal
On optimal completion of incomplete pairwise comparison matrices
Mathematical and Computer Modelling: An International Journal
Consistent weights for judgements matrices of the relative importance of alternatives
Operations Research Letters
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The ranking of multiplicative interval and fuzzy weights is often necessary in multiplicative analytic hierarchy process. The existing ranking method is found flawed and needs to be revised. Firstly, this paper presents a correct formula for ranking multiplicative interval weights, and offers the relevant properties and lemmas to support them. Secondly, since different rank orders of interval weights are derived by the two-stage logarithmic goal programming (TLGP) method under different @a-cuts, an approximation and adjustment (AAM) method is developed to generate multiplicative triangular fuzzy weights. In order to compare two multiplicative triangular fuzzy weights, the geometric mean centroid of multiplicative triangular fuzzy weight is proposed. Thus, a practical algorithm for decision making is introduced based on the above model and formulas. Finally, two numerical examples are provided to illustrate the practicality and validity of the proposed method.