Composition comprises: (A) at least 25 wt.% of one or more fatty substances different from fatty acids； (B) 1-10 wt.% of one or more nonionic surfactants comprising at least 10-80 moles of ethylene oxide； (C) one or more dyes comprising oxidation dyes, direct dyes and/or one or more alkalizing agents； and (D) at least one oxidizing agent. Independent claims are included for: (1) a two compartments device containing a primary composition comprising one or more fatty substances, one or more dyes comprising the oxidation dyes and direct dyes, in one compartment, a second composition comprising one or more oxidizing agents in another compartment, where polyethoxylated non-ionic surfactants comprising 10 to less than 80 moles of ethylene oxide is in the first and/or the second composition, and the optional alkalizing agents are located in the first composition and/or the second composition and preferably in the first composition, and the compositions of two compartments are mixed to provide the composition, just prior to the application to the human keratin fibers； and (2) three compartments device comprising a first composition comprising one or more fatty substances, in first compartment, a second composition comprising one or more dyes having oxidation dyes, direct dyes, one or more alkalizing agents, in the another compartment, and a third composition comprising one or more oxidizing agents, in the third compartment, where polyoxyethylenated nonionic surfactants comprising 10 to less than 80 moles of ethylene oxide is in the first, second and/or third compositions, the compositions of the three compartments are mixed to provide the composition, just before application on the human keratin fiber.
