On AFS algebra: part I

Authors:
Yunjie Zhang;Dequn Liang;Shaocheng Tong
Affiliations:
Department of Mathematics & Physics, Dalian Maritime University, Dalian 116026, PR China;Information Engineering College, Dalian Maritime University, Dalian 116026, PR China;Liaoning Institute of Technology, Jinzhou 121001, PR China
Venue:
Information Sciences—Informatics and Computer Science: An International Journal
Year:
2004

Citing 2
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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 ∧-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.