基于剩余格的一类度量空间及性质

Abstract

Abstract:

The metric properties of special logical algebra were discussed. Firstly, we gave the definition of special logical algebra named metric residual lattice, and then established a metric structure in this algebra system. Secondly, the problem about closed set, cluster point were discussed in the logical metric space induced by the given metric structure. Finally, the continuity of the basic operators of the algebras were proved in the logical metric space.

Key words: fuzzy logic, logical algebra, implication operator, residual lattice, metric space, continuity

CLC Number:

O141.1

ZHOU Jian-Ren, XIE Jing-Jing, TUN Hong-Bo. A Metric Structure and Its PropertiesBased on Metric Residual Lattice[J].J4, 2012, 50(05): 897-901.

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A Metric Structure and Its PropertiesBased on Metric Residual Lattice

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