JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2014, Vol. 49 ›› Issue (10): 78-82.doi: 10.6040/j.issn.1671-9352.0.2014.105

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The characterizations of lattice-valued fuzzy lower approximation operators by a unique axiom

LI Ling-qiang1,2, LI Qing-guo1   

  1. 1. College of Mathematics and Econometrics, Hunan University, Changsha 410082, Hunan, China;
    2. Department of Mathematics Science, Liaocheng University, Liaocheng 252059, Shandong, China
  • Received:2014-03-20 Online:2014-10-20 Published:2014-11-10

Abstract: Axiomatic approaches are important in the study of rough set theory. Generally, the axiomatic systems of rough sets consist of more than one axiom. In this paper, under the residuated lattice-valued context, we use only one axiom to describe the lower approximation generated by the lattice-valued fuzzy relations and a series of special lattice-valued fuzzy relations.

Key words: lattice-valued fuzzy relations, lattice-valued fuzzy rough sets, out products, axioms

CLC Number: 

  • O159.1
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