## Generalized rough $$\Gamma$$-hyperideals in $$\Gamma$$-semihypergroups.(English)Zbl 1442.20042

Summary: B. Davvaz [Inf. Sci. 178, No. 16, 3247–3252 (2008; Zbl 1154.68527)] introduced the concept of set-valued homomorphism and $$T$$-rough sets in a group. In this paper, we consider the set-valued homomorphism $$T$$ on $$\Gamma$$-semihypergroup $$H$$ to interpret the lower and upper approximations. We study the roughness of $$(m,n)$$ bi-$$\Gamma$$-hyperideals and $$(m,n)$$ quasi-$$\Gamma$$-hyperideals in terms of set-valued homomorphisms, which are extended notions of $$(m, n)$$ bi-$$\Gamma$$-hyperideals and $$(m,n)$$ quasi-$$\Gamma$$-hyperideals of $$\Gamma$$-semihypergroups.

### MSC:

 20N20 Hypergroups

Zbl 1154.68527
Full Text:

### References:

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