Topological Residuated Lattice: A Unifying Algebra Representation of Some Rough Set Models

  • Authors:
  • Xiaohong Zhang

  • Affiliations:
  • Department of Mathematics, Ningbo University, Zhejiang Province, P.R. China

  • Venue:
  • RSKT '09 Proceedings of the 4th International Conference on Rough Sets and Knowledge Technology
  • Year:
  • 2009

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Abstract

As a unifying algebra representation of some rough set models (include Pawlak standard rough set, (I , T )-fuzzy rough set, residuated lattice based fuzzy rough set and intuitionistic fuzzy rough set), a new notion of the topological residuated lattice is introduced, and its basic properties are given. Moreover, the relationship between topological residuated lattice and triangle algebra are investigated.