On the cardinalities of interval-valued fuzzy sets
Fuzzy Sets and Systems
Interval Additive Generators of Interval T-Norms
WoLLIC '08 Proceedings of the 15th international workshop on Logic, Language, Information and Computation
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In this paper, we introduce the notion of additive and multiplicative generator on LI, which is the underlying lattice of interval-valued fuzzy set theory. A special class of generators on LI is the class of representable generators which can be represented using generators on ([0,1],les). A representation of involutive negators on LI by means of continuous additive generators which is similar to the representation of involutive negators on ([0,1], les) is given. We also investigate additive and multiplicative generators of t-norms on LI