Pawlak Algebra and Approximate Structure on Fuzzy Lattice

نویسندگان

  • Ying Zhuang
  • Wenqi Liu
  • Chin-Chia Wu
  • Jinhai Li
چکیده

The aim of this paper is to investigate the general approximation structure, weak approximation operators, and Pawlak algebra in the framework of fuzzy lattice, lattice topology, and auxiliary ordering. First, we prove that the weak approximation operator space forms a complete distributive lattice. Then we study the properties of transitive closure of approximation operators and apply them to rough set theory. We also investigate molecule Pawlak algebra and obtain some related properties.

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عنوان ژورنال:

دوره 2014  شماره 

صفحات  -

تاریخ انتشار 2014