Additive generators in interval-valued fuzzy set theory
نویسنده
چکیده
In this paper we study generators of t-norms on the lattice LI of closed subintervals of the unit interval. Starting from a minimal set of axioms that any addition and multiplication operator on LI must fulfill, we investigate the properties of the additive and multiplicative generators on LI obtained using these arithmetic operators. We also investigate under which conditions the generators on LI generate a t-norm.
منابع مشابه
Additive generators in interval-valued and intuitionistic fuzzy set theory
Intuitionistic fuzzy sets in the sense of Atanassov and interval-valued fuzzy sets can be seen as L-fuzzy sets w.r.t. a special lattice L . Deschrijver [2] introduced additive and multiplicative generators on L based on a special kind of addition introduced in [3]. Actually, many other additions can be introduced. In this paper we investigate additive generators on L as far as possible independ...
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