  In light of the first measurement of the positron fraction by the AMS-02
experiment, we perform a detailed global analysis on the interpretation of the
latest data of PAMELA, Fermi-LAT, and AMS-02 in terms of dark matter (DM)
annihilation and decay in various propagation models. The allowed regions for
the DM particle mass and annihilation cross section or decay life-time are
obtained for channels with leptonic final states: $2e$, $2\mu$, $2\tau$, $4e$,
$4\mu$ and $4\tau$. We show that for the conventional astrophysical background
the AMS-02 positron fraction data alone favour a DM particle mass $\sim 500 \
(800)$ GeV if DM particles annihilate dominantly into $2\mu \ (4\mu)$ final
states, which is significantly lower than that favoured by the Fermi-LAT data
of the total flux of electrons and positrons. The allowed regions by the two
experiments do not overlap at a high confidence level ($99.99999\%$C.L.). We
consider a number of propagation models with different halo height $Z_{h}$,
diffusion parameters $D_{0}$ and $\delta_{1/2}$, and power indices of primary
nucleon sources $\gamma_{p1/p2}$. The normalization and the slope of the
electron background are also allowed to vary. We find that the tension between
the two experiments can be only slightly reduced in the propagation model with
large $Z_{h}$ and $D_{0}$. The consistency of fit is improved for annihilation
channels with $2\tau$ and $4\tau$ final states which favour TeV scale DM
particle with large cross sections above $\sim 10^{-23}
\text{cm}^3\text{s}^{-1}$. In all the considered leptonic channels, the current
data favour the scenario of DM annihilation over DM decay. In the decay
scenario, the charge asymmetric DM decay is slightly favoured.
