TL;DR
This paper explores classifying sets based on a specified mean, examining their size and weight characteristics, and introduces a generalized concept of roundness for comparing subsets using means.
Contribution
It introduces a novel framework for classifying and comparing sets via means, including a generalization of the concept of roundness.
Findings
Classification of sets by size relative to a mean
Analysis of sets with equal mean-based weight
A new method for comparing subsets through generalized roundness
Abstract
We are going to classify sets by a given mean in two ways. Firstly we study small and big sets regarding a given mean. Secondly we study sets that have the same weight according to a mean. We also generalize the notion of roundness and get another way to compare subsets by a mean.
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Taxonomy
TopicsRough Sets and Fuzzy Logic