Basics
The term fuzzy relates to rough spatial coincidence or contiguity assessment compared to the alternative crisp locating, which derives precise coordinates of a location of an object. The fuzzy part of the locating process balances the physical and the mathematical portions of processing measurement data of the objects involved and a priori knowledge with the operational ambience.
The result of fuzzy locating shall suffice for operational support and not for metric confirmation of measures taken at earlier occasions. However, available information is exploited as a priori knowledge. Fuzzy locating compares with the distinction respectively segregation of mathematical logic with the terms crisp sets and crisp relations or fuzzy sets and fuzzy relations.
Systematic and stochastic errors occurring under operational requirements and conditions turn virtually precise measures in a friendly ambience to fuzzy metrics. In even worse ambient conditions, which mostly applies to wireless propagation in ISM bands this leads to erratic results and various misinterpretation. In consequence the trade off between technical effort and achieved operational support adjusts inevitably to physical limitations as well as to weaknesses in mathematical modeling. Better resolved balancing deliberately neglects classical terms of precision in favour of a strong commitment for operational unambiguity.
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