THE FUZZY-SETS AND SYSTEMS BASED ON AFS.STRUCTURE, EI ALGEBRA AND EIIALGEBRA

Authors
LIU XD
Citation
Xd. Liu, THE FUZZY-SETS AND SYSTEMS BASED ON AFS.STRUCTURE, EI ALGEBRA AND EIIALGEBRA, Fuzzy sets and systems, 95(2), 1998, pp. 179-188
Citations number
6
Categorie Soggetti
Statistic & Probability",Mathematics,"Computer Science Theory & Methods","Statistic & Probability",Mathematics,"Computer Science Theory & Methods
Journal title
Fuzzy sets and systems → ACNP
ISSN journal
01650114
Volume
95
Issue
2
Year of publication
1998
Pages
179 - 188
Database
ISI
SICI code
0165-0114(1998)95:2<179:TFASBO>2.0.ZU;2-Q
Abstract
In this paper, we define EI algebra and EII algebra, which are infinit e distributive molecular lattices. We also define the AFS.structure, w hich is a special system of Graver and Watkins (1977). With these clas sical mathematical objects, we establish a totally new system of fuzzy sets and systems. We have a new concept of fuzzy sets. It is more acc eptable to the classical mathematical opinions. We can directly make u se of many classical mathematical results. The most important is that the system can be operated by computers. (C) 1998 Elsevier Science B.V .