Name
Abstract | ||
|---|---|---|
In this paper, first it is observed that the fuzzy number lattice satisfies the two infinite distributive laws for bounded set of fuzzy numbers, then it is shown that the lattice is not continuous. To overcome the deficiency of discontinuity the concept of weak below relation is introduced into the fuzzy number lattice in contrast to the way below relation in continuous lattices. It turns out that, though the lattice of all fuzzy numbers is not continuous, the weak below relation behaves well as that of way below relation in continuous lattices. © 2011 IEEE. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1109/FSKD.2011.6019555 | FSKD |
Keywords | Field | DocType |
fuzzy systems,lattice,computational modeling,approximation,fuzzy set theory,fuzzy system,computer model,fuzzy number,lattices,lattice theory,convergence | Congruence lattice problem,Lattice model (physics),Lattice (order),Mathematical analysis,Map of lattices,Fuzzy set,Integer lattice,Fuzzy number,Reciprocal lattice,Mathematics | Conference |
Volume | Issue | Citations |
1 | null | 0 |
PageRank | References | Authors |
0.34 | 1 | 1 |