Elsevier

Fuzzy Sets and Systems

Volume 84, Issue 3, 23 December 1996, Pages 255-269
Fuzzy Sets and Systems

s-norm aggregation of infinite collections

https://doi.org/10.1016/0165-0114(95)00320-7Get rights and content

Abstract

The aggregation of membership values by means of the iterate application of an s-norm is of cardinal relevance for the development of any general theory of approximate reasoning which relies on a sup-t model for relation composition. Here we present a definition of s-norm aggregation for possibly infinite collections, which can be demonstrated to generalize previous approaches consistently. It provides a common framework in which classical sup-t and finite s-t compositions can be analyzed as well as other significant cases. General properties of the s-norm aggregation concept, its specialization for the class of continuous s-norms and its relationship with fuzzy measure theory are discussed.

References (18)

There are more references available in the full text version of this article.

Cited by (7)

  • Aggregation of infinite sequences

    2008, Information Sciences
  • Quantized norms and generalized relational composition on dense universes

    1998, International Journal of Approximate Reasoning
  • Integrals based on non-additive measures

    2008, 9th International Symposium of Hungarian Researchers on Computational Intelligence and Informatics, CINTI 2008
  • A new uniform neuron model of generalized logic operators based on [a,b]

    2006, International Journal of Pattern Recognition and Artificial Intelligence
  • A novel theory of fuzzy quantification

    2006, Studies in Fuzziness and Soft Computing
  • A new uniform OR operation model based on generalized S-norm

    2006, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
View all citing articles on Scopus
View full text