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The fuzzy sets and systems based on AFS.structure, EI algebra and EII algebra

โœ Scribed by Liu Xiaodong

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
527 KB
Volume
95
Category
Article
ISSN
0165-0114

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โœฆ Synopsis

In this paper, we define E1 algebra and Eli algebra, which are infinite distributive molecular lattices. We also define the AFS.structure, which is a special system of . With these classical mathematical objects, we establish a totally new system of fuzzy sets and systems. We have a new concept of fuzzy sets. It is more acceptable to the classical mathematical opinions. We can directly make use of many classical mathematical results. The most important is that the system can be operated by computers.

๐Ÿ“œ SIMILAR VOLUMES

The Fuzzy Theory Based on AFS Algebras a
The Fuzzy Theory Based on AFS Algebras and AFS Structure
โœ Liu Xiaodong ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 216 KB

In this paper, we define a more general algebra class called AFS algebras, which includes EI algebra and EII algebra published by the author, which are completely distributive molecular lattices. We establish the fuzzy theory using AFS algebras and AFS structure published by the author and propose t