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The construction of t-norms on product posets by distributive t-subnorms

Published: 15 September 2023 Publication History

Abstract

One can construct t-norms on product posets by direct products of t-norms straightforwardly. However, there exist many t-norms on product posets which are not direct products. In this paper, some new t-norms which are not direct products on product posets are constructed based on distributive pairs of t-subnorms.

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Published In

cover image Fuzzy Sets and Systems
Fuzzy Sets and Systems  Volume 467, Issue C
Sep 2023
681 pages

Publisher

Elsevier North-Holland, Inc.

United States

Publication History

Published: 15 September 2023

Author Tags

  1. T-norm
  2. T-subnorm
  3. Direct product
  4. Distributivity

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