  Recently, the construction of {\mu^+}{e^-} and {\mu^+}{\mu^+} colliders,
{\mu}TRISTAN, at KEK has been proposed. We argue that the construction of a
similar {\mu^+} ring tangential to LHC/Tevatron/FCC/SppC will give an
opportunity to realize {\mu^+}p and {\mu^+}A collisions at multi-TeV scale
center-of-mass energies. In this paper the main parameters of proposed
colliders have been studied. It is shown that sufficiently high luminosities
can be achieved for all proposals under consideration: L exceeds {10^{33}
cm^{-2}s^{-1}} for {\mu^+}p colliders and {10^{30} cm^{-2}s^{-1}} for {\mu^+}A
colliders. Certainly, proposed colliders will provide huge potential for both
SM (especially QCD basics) and BSM physics searches.
