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(?, T)-fuzzy rough approximation operators and the TL-fuzzy rough ideals on a ring |
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| Authors: | Fei Li Yunqiang Yin |
| Affiliation: | a Department of Mathematics, Beijing Institute of Technology, Beijing 100081, PR China b School of Mathematical Sciences, Beijing Normal University, Beijing 100875, PR China c School of Mathematics and Science, Shijiazhuang University of Economics, Shijiazhuang 050031, PR China |
| Abstract: | In this paper, we consider a ring as a universal set and study (?, T)-fuzzy rough approximation operators with respect to a TL-fuzzy ideal of a ring. First, some new properties of generalized (?, 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 (?, T)-fuzzy rough approximation operators is studied. |
| Keywords: | (? T)-fuzzy rough approximation operator TL-fuzzy ideal (? T)-fuzzy rough ideal L-fuzzy relation T-congruence L-fuzzy relation |
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