Piecewise linear aggregation functions

  • Authors:
  • Sergei Ovchinnikov

  • Affiliations:
  • Mathematics Department, San Francisco State University, San Francisco, CA

  • Venue:
  • International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
  • Year:
  • 2002

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Abstract

The Choquet and Sugeno (fuzzy) integrals are examples of piecewise linear functions on a finite dimensional space Rn. In this paper we consider piecewise linear functions as aggregation functions and establish a Max-Min polynomial representation of these functions.