Matrix analysis
Strong transitivity, rationality and weak monotonicity in fuzzy pairwise comparisons
Fuzzy Sets and Systems
A note on the fuzzy extension of Saaty's priority theory
Fuzzy Sets and Systems
Generalized chi square method for the estimation of weights
Journal of Optimization Theory and Applications
A fuzzy extension of Saaty's priority theory
Fuzzy Sets and Systems
A method for repairing the inconsistency of fuzzy preference relations
Fuzzy Sets and Systems
On group decision making with four formats of incomplete preference relations
Computers and Industrial Engineering
A new method of obtaining the priority weights from an interval fuzzy preference relation
Information Sciences: an International Journal
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The priority problem of incomplete preference relations is investigated. Using the transformation relation between multiplicative preference relation and fuzzy preference relation, we develop a least-square model to obtain the collective priority vector of the incomplete preference relations presented by multiple decision makers, with the existence condition of the solution being developed. Meanwhile, we extend this model to the cases of the fuzzy preference relations with complete information presented by multiple decision makers and the fuzzy preference relation with complete information presented by one decision maker. Finally, it is illustrated by a numerical example that the method proposed is feasible and effective.