Group decision making with a fuzzy linguistic majority
Generate an AI Snapshot to get a quick, structured summary of this paper.
A concise AI-generated summary of the paper will appear here once you click Generate AI Snapshot.
TL;DR
Using the fuzzy majority rule specified by a fuzzy linguistic quantifier, a calculus of linguistically quantified propositions is applied and various solution concepts are derived, mainly of the type of core, minimax (opposition) set and consensus winner.
Abstract
The determination of solutions in group decision making is considered. The point of departure is a collection of individual fuzzy preference relations. A solution is derived either directly from the individual fuzzy preference relations or by constructing first a social fuzzy preference relation. As opposed to conventional approaches in which a crisp (threshold type) majority rule is used, we employ a fuzzy majority rule specified by a fuzzy linguistic quantifier, e.g., 'most', 'much more than 50%', etc. A calculus of linguistically quantified propositions is applied. Using the fuzzy majority, various solution concepts are derived, mainly of the type of core, minimax (opposition) set and consensus winner.