Contamination-Free Measures and Algebraic Operations
This work addresses a domain-specific issue in rough set theory for researchers dealing with granular correspondences and algebraic semantics.
The paper tackles the problem of comparing rough algebraic semantics across different domains by developing new methods and a semantics for handling contaminated operations and structured bigness, aiming to avoid contamination and ensure relative consistency of knowledge collections.
An open concept of rough evolution and an axiomatic approach to granules was also developed recently by the present author. Subsequently the concepts were used in the formal framework of rough Y-systems (RYS) for developing on granular correspondences by her. These have since been used for a new approach towards comparison of rough algebraic semantics across different semantic domains by way of correspondences that preserve rough evolution and try to avoid contamination. In this research paper, new methods are proposed and a semantics for handling possibly contaminated operations and structured bigness is developed. These would also be of natural interest for relative consistency of one collection of knowledge relative other.