No, I am sorry. You cannot say it that way. Yes, Italian usually requires the articles. There are some exceptions. See the following websites: http://italian.about.com/library/fare/blfare132a.htm http://www.italianlanguageguide.com/grammar/possessive-adjective.asp http://italian.about.com/od/grammar/a/italian-possessive-pronouns.htm
I have to say that I can think of times or situations where you can say such a phrase. Imagine you are comparing your cooking with another and their recipe is savoury. You can legitimately say that your recipe is sweet.
As an aside, dolce can be translated as 'nice' which would make sense, although Duolingo doesn't agree (reported 8 June 18)