The antonyms for "dis-orderedness" are organization, neatness, tidiness, orderliness, and arrangement. These words denote a state of things being in proper and systematic arrangement. Organized signifies a well-thought-out method of arranging things in a particular way. Neatness implies the state of being clean, orderly, and precise. Tidiness refers to the quality or state of being neat, clean, and well-arranged. Orderliness denotes the level of systematic arrangement and coherence. Finally, arrangement refers to the act of putting things in order or the result of putting things in order. Together, these antonyms create a sense of structure, coherence, and rationality which are the opposite of chaos and disarray.