Abstract
Zadeh's (1983) calculus of linguistically quantified statements is employed to represent and handle a fuzzy majority in the derivation of a measure (degree) of consensus under intuitionistic fuzzy preferences. We follow the concept of a fuzzy majority introduced by Kacprzyk (1984, 1985a, b, 1986, 1987), Fedrizzi (1988), Kacprzyk and Fedrizzi (1986, 1988, 1989). The proposed consensus measure expresses a degree to which, say, most of the important individuals agree as to almost all of the relevant options. Individual testimonies are assumed to be individual intuitionistic fuzzy preference relations that, as opposed to ordinary fuzzy preference relations, can better reflect the fact that during the consensus reaching proccess individuals can be, first, unsure as to their preferences, and second, can change them. We obtain new interval valued measures of consensus meant as, on the one hand, reflecting a possible hesitation of individuals, and on the other hand, providing a best and worst possible result.
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