## Group decision making with a fuzzy linguistic majority.(English)Zbl 0604.90012

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)”.
Reviewer: J.Sustal

### MSC:

 91B08 Individual preferences 91B14 Social choice 03E72 Theory of fuzzy sets, etc.

### Keywords:

group decision making; fuzzy majority concept
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### References:

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