A new type of color-appearance model (CAM) is proposed together with its concept and flow of formulations. The topics described are: (1) The existence of two kinds of color-appearance models, CAMs previously used and CAMs newly proposed. (2) All the CAMs, previously developed and used, do not predict color-appearance attribute of perceived lightness of object colors under any illuminations. They may be adequately called ''the model for predicting color-appearance match between object colors under different adapting conditions.'' (3) Newly improved CAMs take the HelmholtzKohlrausch effect in the VCC method into account. They can determine object colors with the same Tone (equi-perceived lightness, equi-whiteness-blackness, and equi-perceived chroma) irrespective of hues under reference illuminant. The newly improved models can be named Integrated CAMs. Their applicable fields are described in detail.