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On Copulas, Quasicopulas and Fuzzy Logic

We investigate (quasi)copulas as possible truth functions of fuzzy conjunction which is not necessarily associative and present some axiom systems for such fuzzy logics. In particular, we study an expansion of Łukasiewicz (infinite valued proposition...

BA - Obecná matematika

  • 2008
  • Jx
Result

Fuzzy preference modelling and some consequences for fuzzy implications and quasi-copulas

In this paper we study a connection between quasicopulas and generator triples of fuzzy preference structures. We study also conditions under which fuzzy implications can be used to construct generator triples. As we show, an important prope...

BA - Obecná matematika

  • 2013
  • D
  • Link
Result

On a Graded Notion of t-norm and Dominance

The paper studies graded properties of MTL-Delta-valued binary connectives, focusing on conjunctive connectives such as t-norms, uninorms, aggregation operators, or quasicopulas. The graded properties studied include monotony, a generalized ...

BA - Obecná matematika

  • 2010
  • D
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