A new index to the contradictions between/among observed data sets : An examination using Hyper Logic Spacemodel

Abstract

In general, observed data sets are statistically processed and summarized. If it is possible to observe both the positive (P) and negative (N) phases independently, it will become possible to calculate the degree of contradictions for the i-th paired data (P_i,N_i) by using the Hyper Logic Space (HLS) model. In conventional measurement methods, only the positive phase is observed. However, the negative phase can also be estimated if the simple principle introduced here is used. The algorithms proposed here can calculate the degree of contradictions among more than two data pairs.