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We investigate the role of disorder on the superconducting (SC) fluctuationin short coherence length d-wave superconductors. The particular intetest isfocused on the disorder-induced microscopic inhomogeneity of SC fluctuation andits effect on the pseudogap phenomena. We formulate the self-consistent 1-looporder theory for the SC fluctuation in inhomogeneous systems and analyze thedisordered $t$-$t'$-$V$ model. The SC correlation function, electronic DOS andthe critical temperature are estimated. The SC fluctuation is localized like ananoscale granular structure when the coherence length is short, namely thetransition temperature is high. This is contrasted to the long coherence lengthsuperconductors where the order parameter is almost uniform in the microscopicscale. In the former case, the SC fluctuation is enhanced by the disorder incontrast to the Abrikosov-Gorkov theory. These results are consistent with theSTM, NMR and transport measurements in high-$T_{\rm c}$ cuprates and illuminatethe essential role of the microscopic inhomogeneity. We calculate the spacialdependence of DOS around the single impurity and discuss the consistency withthe NMR measurements

Superconducting Fluctuation and Pseudogap in Disordered Short Coherence Length Superconductor