The author discusses computer support of consensus reaching in a group of individuals under fuzzy preferences and a fuzzy majority, using a group DSS (GDSS), and supervised by a "super-individual", a moderator, who monitors and runs the process. For measuring how far the group is from "consensus", Kacprzyk and Fedrizzi's (1986, 1988, 1989, 1995) soft degree of consensus is employed viewed as a degree to which, say, most of the important individuals agree to almost all of the relevant options. Yager's (1988, 1996) ordered weighted averaging (OWA) operators for importance qualified data are used.
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