Fuzzy preference orderings in group decision making (Q1060118)

An \(n\times n\) matrix \(R=[r_{ij}]\) with \(0\leq r_{ij}\leq 1\) and satisfying additional conditions determines various types of fuzzy preference orderings on a set of alternatives \((x_ 1,...,x_ n)\). \(r_{ij}\) represents the degree of preference of the alternative \(x_ i\) to the alternative \(x_ j\). From individual fuzzy preference orderings \(R^ p\) \((p=1,...,m)\) a group preference ordering R can be constructed. Several constructions are given in order that the final group ordering R shall again be fuzzy. The group matrix R can be used as data for the extended contributive rule method developed by the author and his collaborators.