Group decision making with a fuzzy linguistic majority (Q1083343)

Considered is a collection of m individual fuzzy preference relations \(R_ k\), \(k=1,...,m\), where \(R_ k:\) \(S\times S\to [0,1]\) and S is a set of n alternatives \(S=\{s_ 1,...,s_ n\}\). The higher \(R_ k(s_ i,s_ j)\) the higher the preference of \(s_ i\) over \(s_ j\) for the individual k. A group decision making solution should reflect what a majority of individuals prefers. A fuzzy majority concept is introduced as a counterpart to the linguistic qualifier ''most''. Various approaches to the problem are then suggested leading to different solutions, e.g. the formalization of a property over S expressing ''most individuals are not against (an alternative)''.