Paper Info
Title
--Fuzzy Lattices
Abstract
A new definition of a fuzzy lattice ( --fuzzy lattice) as a particular fuzzy algebraic structure is introduced in the framework of fuzzy equalities and fuzzy identities. The membership values structure is a complete lattice. An --fuzzy lattice is defined on a bi-groupoid , as its fuzzy sub-bi-groupoid equipped with a fuzzy equality , fulfilling fuzzy lattice identities. It is proved that the new notion is a generalization of known lattice-valued structures. Basic properties of the introduced new fuzzy lattices are presented. In particular, it is proved that the quotients of cuts of over the corresponding cuts of are classical lattices. By a suitable example, it is shown how the new introduced structures can be applied.
Year
DOI
Venue
2015
https://doi.org/10.1007/s40815-015-0057-9
International Journal of Fuzzy Systems
Keywords
DocType
Volume
Fuzzy lattice,Fuzzy identity,Fuzzy congruence,Fuzzy equality,Complete lattice,08A72,06D72,03E72
Journal
17
Issue
ISSN
Citations 
3
1562-2479
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Branimir Šešelja117023.33
Andreja Tepavčevic2398.83