1. On AFS algebra—Part I.
- Author
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Yunjie Zhang, Dequn Liang, and Shaocheng Tong
- Subjects
- *
FUZZY sets , *FUZZY systems , *ALGEBRA , *MATHEMATICAL analysis , *LATTICE theory , *MOLECULES - Abstract
This paper addresses the properties and structures of EI algebra and EIn algebra in the framework of Liu [Fuzzy Sets and Systems 95 (1998) 179]. The main contribution of the paper is that the expressions of both *-irreducible elements (or A-irreducible elements) in molecular lattice (EM, ≥), and (EX1 ··· XnM, ≥) are developed, and that the standard minimal family of elements in molecular lattice (EM, ≥) and (EX1 ··· XnM, ≥) is formulated. It is proved that neither molecular lattice (EM, ≥) nor molecular lattice (EX1 ··· XnM, ≥) is a fuzzy lattice. [ABSTRACT FROM AUTHOR]
- Published
- 2004
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