DocumentCode
468108
Title
Extension Principle of Lattice-Valued Fuzzy Set
Author
Zeng, Wenyi ; Li, Hongxing ; Zhao, Yibin ; Yu, Xuanchuan
Author_Institution
Beijing Normal Univ., Beijing
Volume
1
fYear
2007
fDate
24-27 Aug. 2007
Firstpage
140
Lastpage
144
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Fuzzy Systems and Knowledge Discovery, 2007. FSKD 2007. Fourth International Conference on
Conference_Location
Haikou
Print_ISBN
978-0-7695-2874-8
Type
conf
DOI
10.1109/FSKD.2007.282
Filename
4405905
Link To Document