AbstractA self‐reflecting signed order is a preference relation that compares relative likes and dislikes for items in a setXby jointly orderingXand a disjoint copy ofX.If you would like Jones but not Smith appointed to a committee, and also think it more important to exclude Smith than include Jones, your self‐reflecting signed order records this information. We review basic representational theory for signed orders, then examine them whenXis multiattributed. Axioms for additive measurement of multiattribute self‐reflecting signed orders are specified for severalX‐str