Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6873708 | Fuzzy Information and Engineering | 2017 | 22 Pages |
Abstract
In this paper, based on the concept of intuitionistic fuzzy lattice previously introduced by Tripathy and his colleagues, a class of intuitionistic fuzzy complete lattices is proposed with some interesting characterizations given. In particular, we show the fixed point property for this proposed class. Conversely, we show that any intuitionistic fuzzy lattice is complete having its fixed point property. These results establish a criterion for completeness of intuitionistic fuzzy lattices in terms of the fixed points of their intuitionistic fuzzy monotone mappings.
Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
Lemnaouar Zedam, Soheyb Milles, Ewa Rak,