Supporting Consensus Reaching Processes under Fuzzy Preferences and a Fuzzy Majority via Linguistic Summaries and Action Rules

摘要: We deal with the classic approach to evaluation of a degree consensus due Kacprzyk and Fedrizzi [21, 22, 23] in which soft has been introduced as which, for instance, “most important individuals agree almost all relevant options”. The fuzzy majority is equated linguistic quantifiers (most, all, ... ) handled via Zadeh’s [64] calculus linguistically quantified propositions Yager’s [63] OWA (ordered weighted average) operators. reaching process run by moderator who may need support provided novel combination of: first, use alone along lines Fedrizzi, Zadrozny [12], Kacprzyk, Owsinski [11], [31, 34]. Second, data summaries sense Yager [62], [26], [27], particular its protoform based version proposed [33], [35], are employed indicate natural language some interesting relations between options help identify crucial (pairs of) and/options pose threats consensus. Third, using results obtained our recent paper (Kacprzyk, Raś [41], we additionally mining tool, so-called action rule Wieczorkowska [48], meant context find best concessions be offered changing their preferences increase