The Collaborative International Dictionary of English v.0.48:

Haziness \Ha"zi*ness\, n.
   The quality or state of being hazy.
   [1913 Webster]

WordNet (r) 3.0 (2006):

haziness
    n 1: vagueness attributable to being not clearly defined
    2: cloudiness resulting from haze or mist or vapor [syn:
       haziness, mistiness, steaminess, vaporousness,
       vapourousness]

Moby Thesaurus II by Grady Ward, 1.0:

63 Moby Thesaurus words for "haziness":
   amorphia, amorphism, amorphousness, anarchy, bleariness,
   blobbiness, blur, blurriness, broadness, chaos, cloudiness,
   confusion, darkness, defocus, dimness, dirty sky, disorder,
   entropy, faintness, feebleness, filminess, fogginess, formlessness,
   fuzziness, generality, half-visibility, heavy sky, ill-definedness,
   imprecision, inaccuracy, inchoateness, incoherence, indecisiveness,
   indefinableness, indefiniteness, indeterminateness, indistinctness,
   indistinguishability, inexactness, laxity, looseness, low profile,
   messiness, mistiness, nebulosity, nimbosity, nubilation,
   obscuration, obscurity, orderlessness, overcast, paleness,
   semivisibility, shadowiness, shapelessness, soft focus,
   sweepingness, uncertainty, unclearness, unplainness,
   vague appearance, vagueness, weakness