(θ,T)-fuzzy rough approximation operators and the TL-fuzzy rough ideals on a ring

Authors:
Fei Li;Yunqiang Yin;Lingxia Lu
Affiliations:
Department of Mathematics, Beijing Institute of Technology, Beijing 100081, PR China;School of Mathematical Sciences, Beijing Normal University, Beijing 100875, PR China;School of Mathematics and Science, Shijiazhuang University of Economics, Shijiazhuang 050031, PR China
Venue:
Information Sciences: an International Journal
Year:
2007

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Abstract

In this paper, we consider a ring as a universal set and study (θ,T)-fuzzy rough approximation operators with respect to a TL-fuzzy ideal of a ring. First, some new properties of generalized (θ,T)-fuzzy rough approximation operators are obtained. Then, a new fuzzy algebraic structure -TL-fuzzy rough ideal is defined and its properties investigated. And finally, the homomorphism of (θ,T)-fuzzy rough approximation operators is studied.