  Three-way decision theory, which trisects the universe with less risks or
costs, is considered as a powerful mathematical tool for handling uncertainty
in incomplete and imprecise information tables, and provides an effective tool
for conflict analysis decision making in real-time situations. In this paper,
we propose the concepts of the agreement, disagreement and neutral subsets of a
strategy with two evaluation functions, which establish the three-way
decisions-based conflict analysis models(TWDCAMs) for trisecting the universe
of agents, and employ a pair of two-way decisions models to interpret the
mechanism of the three-way decision rules for an agent. Subsequently, we
develop the concepts of the agreement, disagreement and neutral strategies of
an agent group with two evaluation functions, which build the TWDCAMs for
trisecting the universe of issues, and take a couple of two-way decisions
models to explain the mechanism of the three-way decision rules for an issue.
Finally, we reconstruct Fan, Qi and Wei's conflict analysis models(FQWCAMs) and
Sun, Ma and Zhao's conflict analysis models(SMZCAMs) with two evaluation
functions, and interpret FQWCAMs and SMZCAMs with a pair of two-day decisions
models, which illustrates that FQWCAMs and SMZCAMs are special cases of
TWDCAMs.
