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Rough fuzzy hyperideals in ternary semihypergroups. (English) Zbl 1250.20064

Summary: The relations between rough sets and algebraic systems have been already considered by many mathematicians, and rough sets have been studied in various kinds of algebraic systems. This paper concerns a relationship between rough sets and ternary semihypergroups. We introduce the notion of rough hyperideals and rough bi-hyperideals in ternary semihypergroups. We also study fuzzy, rough, and rough fuzzy ternary subsemihypergroups (left hyperideals, right hyperideals, lateral hyperideals, hyperideals, and bi-hyperideals) of ternary semihypergroups.

MSC:

20N20 Hypergroups
20N10 Ternary systems (heaps, semiheaps, heapoids, etc.)
20N25 Fuzzy groups
20M12 Ideal theory for semigroups
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