Title :
Extension Principle of Lattice-Valued Fuzzy Set
Author :
Zeng, Wenyi ; Li, Hongxing ; Zhao, Yibin ; Yu, Xuanchuan
Author_Institution :
Beijing Normal Univ., Beijing
Abstract :
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.
Keywords :
fuzzy set theory; lattice theory; fuzzy algebra; fuzzy analysis; lattice-valued fuzzy set; lattice-valued nested sets; Algebra; Educational institutions; Fuzzy reasoning; Fuzzy set theory; Fuzzy sets; Information science; Lattices; Uncertainty;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery, 2007. FSKD 2007. Fourth International Conference on
Conference_Location :
Haikou
Print_ISBN :
978-0-7695-2874-8
DOI :
10.1109/FSKD.2007.282
