On a new class of t-norms and t-conorms on bounded lattices


ÇAYLI G. D.

FUZZY SETS AND SYSTEMS, vol.332, pp.129-143, 2018 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 332
  • Publication Date: 2018
  • Doi Number: 10.1016/j.fss.2017.07.015
  • Title of Journal : FUZZY SETS AND SYSTEMS
  • Page Numbers: pp.129-143
  • Keywords: Bounded lattice, Triangular norm, Triangular conorm, Ordinal sum, TRIANGULAR NORMS, ORDINAL SUMS, FUZZY-SETS, UNINORMS, NULLNORMS, ORDER

Abstract

The ordinal sum of triangular norms on unit interval has been used to construct other triangular norms. But, in general, ordinal sum construction of triangular norms and triangular conorms may not work on an arbitrary bounded lattice. In this study, we focus on ordinal sums of triangular norms and triangular conorms on an arbitrary bounded lattice. Moreover, we show a complete generalization of our ordinal sums of triangular norms and triangular conorms on an arbitrary bounded lattice. And some illustrative examples are added for clarity. (C) 2017 Elsevier B.V. All rights reserved.