Matrix analysis
On fuzzy ratio comparisons in hierarchical decision models
Fuzzy Sets and Systems
Linear programming models for estimating weights in the analytic hierarchy process
Computers and Operations Research
Modifying inconsistent comparison matrix in analytic hierarchy process: A heuristic approach
Decision Support Systems
The continuous ordered weighted geometric operator and its application to decision making
Fuzzy Sets and Systems
Mathematical and Computer Modelling: An International Journal
A new method of obtaining the priority weights from an interval fuzzy preference relation
Information Sciences: an International Journal
Interval-valued hesitant preference relations and their applications to group decision making
Knowledge-Based Systems
Some models for generating and ranking multiplicative weights
Computers and Industrial Engineering
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When a decision maker expresses his/her opinions by means of an interval reciprocal comparison matrix, the study of consistency becomes a very important aspect in decision making in order to avoid a misleading solution. In the present paper, an acceptably consistent interval reciprocal comparison matrix is defined, which can be reduced to an acceptably consistent crisp reciprocal comparison matrix when the intervals become exact numbers. An interval reciprocal comparison matrix with unacceptable consistency can be easily adjusted such that the revised matrix possesses acceptable consistency. Utilizing a convex combination method, a family of crisp reciprocal comparison matrices with acceptable consistency can be obtained, whose weights are further found to exhibit a style of convex combination, and aggregated to obtain interval weights from an acceptably consistent interval reciprocal comparison matrix. A novel, simple yet effective formula of possibility degree is presented to rank interval weights. Numerical results are calculated to show the quality and quantity of the proposed approaches and compare with other existing procedures.