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July 2016
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38 Reads
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11 Citations
Communications of the Korean Mathematical Society
The notion of a rough fuzzy filter in a BE-algebra is introduced and some properties of such a filter are investigated. The relations between the upper (lower) rough filters and the upper (lower) approximations of their homomorphism images are discussed.
... Moradiana et al. [7] presented a definition of the lower and upper approximation of subsets of BCK-algebras concerning a fuzzy ideal (FI). Ahn and Kim [8] introduced the concept of rough fuzzy filters in BE-algebras, Ahn and Ko [9] introduced the concept of rough ideals and rough FIs in BCK/BCI-algebras, and Hussain et al. [10] introduced the concept of rough Pythagorean FIs in semigroups, while Chinram and Panityakul [11] introduced rough Pythagorean FIs in ternary semigroups and provided several of their remarkable properties. Jun et al. [12] studied the concept of a (strong) set-valued BCK/BCI-morphism and introduced the concept of a generalized 1. ...
July 2016
Communications of the Korean Mathematical Society
