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A System of systems approach to analytics using nolans peer relativity profiling transformations

Nolan's peer relativity profiling transformations take each observation and assign it a value relative to all other members of the given sub-population. This allows for an observation on different measurement scales to be assigned a measurement on equivalent scales. Once combined with fuzzy logic, nth dimensional mathematics, and bounded within a framework it enables a system of systems analysis approach. In this paper, the methodology is applied to weather pattern analysis, which examines the total weather behaviour based on various systems like wind, sunshine, and air pressure to develop a set of rules for predicting rain, as well as other metrological events, which are associated with significant risk or economic loss. It is hoped that this research will lead towards a better understanding and development of warning systems for weather patterns, complex machine operations and other human safety and environment related system of systems.