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- W2371031324 abstract "In this paper, rough sets theory is used in discussing the properties of upper approximations of quantales. At the same time, the concepts of upper rough subquantale, upper rough ideals and upper rough quasi-ideals of a quantale are given, and the properties of these mathematical structures are studied.The main results are:(1) It is proved that ideals must be upper rough ideals, and an upper rough idea whose upper approximation equals lower approximation must be an ideal;(2) It is proved that when a quantale homomorphism is surjective, the inverse images of upper rough subquantales and upper rough(left, right) ideals are still upper rough subquantales and upper rough(left, right) ideals;(3) Itis proved that upper rough(left, right) ideals must be upper rough quasi-ideals, and an upper rough quasi-idea which is also an ideal of the structure of semigroup must be an upper rough ideal." @default.
- W2371031324 created "2016-06-24" @default.
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- W2371031324 date "2013-01-01" @default.
- W2371031324 modified "2023-09-23" @default.
- W2371031324 title "Upper Rough Ideals of Quantales" @default.
- W2371031324 hasPublicationYear "2013" @default.
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