Weighted triangular norms using generating functions

Authors:
Ronald R. Yager
Affiliations:
Machine Intelligence Institute, Iona College, New Rochelle, New York 10801
Venue:
International Journal of Intelligent Systems
Year:
2004

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Abstract

We introduce the t-norm and discuss the representation of this operator by additive generators. An approach is suggested for including importances in t-norm aggregation taking advantage of this representation of the t-norm. We look at formulations resulting for a variety of t-norms. We then apply the approach to the t-conorm and look at its effect on a variety of t-conorms. Finally, we turn to the uninorm and suggest an analogous method for including weighting in uninorm aggregations. © 2004 Wiley Periodicals, Inc.