# Contamination-Free Measures and Algebraic Operations

arXiv: https://arxiv.org/abs/1512.02140 · HTML: https://mlsanity.com/paper/1512.02140/

## Key facts

- Cited by 2 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 20 Nov 2015.

## Built on by (most cited first, 2 of 2)

- [Rough Randomness and its Application](https://mlsanity.com/paper/2304.00005/) (2023)
- [Algebraic Semantics of Generalized RIFs](https://mlsanity.com/paper/2109.12998/) (2021)

## Abstract (arXiv)

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.