Applications of Soft Intersection Sets in Hypernear Rings

Year 2020, Volume: 3 Issue: 1, 191 - 197, 15.12.2020

Mohammad Yahya Abbası , Sabahat Ali Khan , Ahmad Raza

https://izlik.org/JA35WH35YW

Abstract

In this paper, we introduce soft intersection hypernear-ring and shows how a soft set effects on a hypernear-ring structure by means of intersection and insertion of sets. Further, we explore some properties using hypernear-ring theoretic concepts for soft sets. Moreover, we have defined the cross product of two soft intersection hypernear-rings. We proved that the cross product of two soft intersection hypernear-rings is a soft intersection hypernear-ring and the cross product of two soft intersection hyperideals is a soft intersection hyperideal.

Keywords

Hypernear-rings , Soft intersection sets , Soft intersection hyperideals

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