In this paper, we explore general relationships among negations, convex Archimedean nilpotent t-norms, and automorphisms of the unit interval I . Each ...
This natural connection between nilpotent t-norms and negations gives rise to special algebraic systems which we call Boolean systems, being reminiscent of.
A t-norm T has zero divisors if and only if it has nilpotent elements; each nilpotent element of T is also a zero divisor of T. The set of all nilpotent ...
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A note on negations and nilpotent t-norms. Localización: International journal of approximate reasoning, ISSN 0888-613X, Vol. 21, Nº 2, 1999, págs.
Theorem 4.1, every Archimedean t-subnorm with a strong associated negation is a nilpotent t-norm (isomorphic to the Lukasiewicz t-norm). 5. Concluding ...
In this work we investigate t-subnorms M that have strong associated negation. Firstly, we show that such t-subnorms are neces- sarily t-norms.
The Archimedean triangular norms (t- norms in short) and triangular conorms (t-conorms in short) as well as their strict and nilpotent classes play important.
Mar 15, 2007 · Continuous Archimedean t-norms which are not strict are called nilpotent. The product t-norm is strict, the Lukasiewicz t-norm is nilpotent. If ...
T-norm fuzzy logics are a family of non-classical logics, informally delimited by having a semantics that takes the real unit interval [0, 1] for the system ...
Transitivity is a fundamental notion in preference modelling. In this work we study this property in the framework of additive fuzzy preference structures.