Premium
Weighted triangular norms using generating functions
Author(s) -
Yager Ronald R.
Publication year - 2004
Publication title -
international journal of intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.291
H-Index - 87
eISSN - 1098-111X
pISSN - 0884-8173
DOI - 10.1002/int.10162
Subject(s) - variety (cybernetics) , weighting , norm (philosophy) , representation (politics) , operator (biology) , t norm , mathematics , algebra over a field , computer science , artificial intelligence , pure mathematics , fuzzy logic , fuzzy set , epistemology , fuzzy number , philosophy , repressor , law , chemistry , biochemistry , political science , transcription factor , radiology , politics , gene , medicine
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.