  Binary stars ubiquitous throughout the universe are important. Contact
binaries (CBs) possessing Period-Luminosity (PL) relations could be adopted as
distance tracers. The PL relations of CBs are influenced by metallicity
abundance and color index, which are connected to both the radius and
luminosity of stars. Here we propose fine relations of
Period-Luminosity-Metallicity-Color (PLZC) from the ultraviolet to infrared
bands based on current surveys. The accuracy of the distance estimation is 6\%
and 8\%, respectively, depending on the PLZC relations of the CBs in the
infrared and optical bands of the collected data. PLZC models are still more
accurate than PLC models in determining intrinsic luminosity, notwithstanding
their limited improvement. Meanwhile, these relations based on synthetic
photometry are also calibrated. On the basis of the synthetic photometry, a 6\%
accuracy of distance is estimated. The measured or synthetic data of PLZC or
PLC relations in infrared bands comes first in the list of suggestions for
distance estimations, and is followed by the measured data of optical bands.
