Extended triangular norms

  • Authors:
  • Janusz T. Starczewski

  • Affiliations:
  • Department of Computer Engineering, Czestochowa University of Technology, Al. Armii Krajowej 36, 42-200 Czestochowa, Poland

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2009

Quantified Score

Hi-index 0.07

Visualization

Abstract

The paper is devoted to classical t-norms extended to operations on fuzzy quantities in accordance with the generalized Zadeh extension principle. Such extended t-norms are used for calculating intersection of type-2 fuzzy sets. Analytical expressions for membership functions of some extended t-norms are derived assuming special classes of fuzzy quantities, i.e., fuzzy truth intervals or fuzzy truth numbers. The possibility of applying these results in the construction of type-2 adaptive network fuzzy inference systems is illustrated on several examples.