Weighted triangular norms using generating functions | Zendy

Yager Ronald R. | Zendy

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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.

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