CONSTRUCT FUZZY LATTICES FROM A GIVEN SYMMETRICAL COMPLETE LATTICE

Authors
XU LS
Citation
Ls. Xu, CONSTRUCT FUZZY LATTICES FROM A GIVEN SYMMETRICAL COMPLETE LATTICE, Fuzzy sets and systems, 66(3), 1994, pp. 357-362
Citations number
18
Categorie Soggetti
Computer Sciences, Special Topics","System Science",Mathematics,"Statistic & Probability",Mathematics,"Computer Science Theory & Methods
Journal title
Fuzzy sets and systems → ACNP
ISSN journal
01650114
Volume
66
Issue
3
Year of publication
1994
Pages
357 - 362
Database
ISI
SICI code
0165-0114(1994)66:3<357:CFLFAG>2.0.ZU;2-A
Abstract
Fuzzy lattices are the basic objects which L-fuzzy topology bases on. We study relations of fuzzy lattices and symmetric complete lattices f rom category points of view. A relevant fuzzy lattice omega(L) and a r elevant symmetric complete Heyting algebra phi(L) are constructed from a given symmetric complete lattice L. We prove that the constructions omega and phi are two functors and they have reflective properties ov er relevant categories.