Hybrid structures applied to ideals in near-rings

Abstract Human endeavours span a wide spectrum of activities which includes solving fascinating problems in the realms engineering, arts, sciences, medical social economics and environment. To solve these problems, classical mathematics methods are insufficient. The real-world involve many uncertainties making them difficult to by means. researchers world over have established new mathematical theories such as fuzzy set theory rough order model that appear various fields mentioned above. In recent days, soft has been developed offers novel way real issues issue setting membership function does not arise. This comes handy numerous advancements being made now-a-days. Jun introduced hybrid structure utilizing ideas set. It is be noted structures speculation present work, notion ideals near-ring introduced. Significant work carried out investigate portion their significant properties. These notions characterized relations furthermore. For left (resp., right) ideal, different ideal near-rings constructed. Efforts undertaken display between product intersection. Finally, results based on homomorphic preimage proved.