The invention relates to unsaturated fatty hydroxy acid derivatives of formula(I), wherein R is independent from each other H or linear or branchedalkyl group which contain from 1 to 6 carbon atoms and which are possibly substitutedby a halogen atom, in particular a fluorine atom, R is H, F, Cl, Br orCF, R is H or linear or branched alkyl group which contain from 1 to 6carbon atoms and which are possibly substituted by a halogen atom, in particulara fluorine atom and 3 = n = 14. Said derivatives is suitable for producing an anti-radical,anti-inflammatory and antipruritic dermocosmetologic composition and/orfor treating keratinisation and pigmentation troubles and/or for improvinghealing.