Extension Principle of Lattice-Valued Fuzzy Set
Wenyi Zeng, Yibin Zhao, Hongxing Li, Xuanchuan Yu · 2007
In this paper, we introduce two concepts including cut set of lattice-valued fuzzy set and lattice-valued nested sets, propose extension principle of lattice-valued fuzzy set and an axiomatic definition of generalized extension principle of lattice-valued fuzzy set and use lattice-valued nested sets and representation theorem to explain its construction procedure in detail. These conclusions can be applied in some fields such as fuzzy algebra, fuzzy analysis, fuzzy decisionmaking and so on.