This article introduces quasi-ideals in semirings on weak nearness approximation spaces. Concepts and definitions are given to clarify the subject of quasi ideals Some basic properties also given. Furthermore, it is that definition upper-near ideals. And, examined relationship between upper near Therefore, features described this study will contribute greatly theoretical development theory.

Metric nearness refers to the problem of optimally restoring metric properties to distance measurements that happen to be non-metric due to measurement errors or otherwise. Metric data can be important in various settings, for example in clustering, classification, metric-based indexing, query processing and graph theoretic approximation algorithms. This paper formulates and solves the metric n...

Bi ideals are the generalisation of quasi ideals. In this article, it is defined that notion bi-ideals in semirings on weak nearness approximation spaces. Afterwards, explained some concepts and definitions related to subject. Also, given definition m-bi (m,n)-quasi Thus, we examine relationship between .