The concept of interval-valued fuzzy soft β-covering approximation spaces (IFSβCASs) is introduced to combine the theories of soft sets, rough sets and interval-valued fuzzy sets, and some fundamental propositions concerning interval-valued fuzzy soft β-neighborhoods and soft β-neighborhoods of IFSβCASs are explored. And then four kinds of interval-valued fuzzy soft β-coverings based fuzzy rough sets are researched. Finally, the relationships of four kinds of interval-valued fuzzy soft β-coverings based fuzzy rough sets are investigated.
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Shizhan Lu (2024) studied this question.
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