To enlarge the sample of known low-surface brightness (LSB) galaxies and to try to provide clues about their nature, we report the detection of eight of this type of objects ($mu_{{eff}, g} simeq 27$ mag arcsec$^{-2}$) towards the group of galaxies Pegasus I. They are located in the very center of Pegasus I, close to the dominant elliptical galaxies NGC7619 and NGC7626. Assuming that these galaxies are at the distance of Pegasus I, we have found that their sizes are intermediate among similar objects reported in the literature. In particular, we found that three of these galaxies can be classified as ultra-diffuse galaxies and a fourth one displays a nucleus. The eight new LSB galaxies show a significant color dispersion around the extrapolation towards faint luminosities of the color-magnitude relation defined by typical early-type galaxies. In addition, they display values of the Sersic index below 1, in agreement with values obtained for LSB galaxies in other environments. We also show that there seems to be a bias effect in the size distributions of the detected LSBs in different environments, in the sense that more distant groups/clusters lack small $r_{eff}$ objects, while large systems are not found in the Local Group and nearby environments. While there may be an actual shortage of large LSB galaxies in low-density environments like the Local Group, the non-detection of small (and faint) systems at large distances is clearly a selection effect. As an example, LSB galaxies with similar sizes to those of the satellites of Andromeda in the Local Group, will be certainly missed in a visual identification at the distance of Pegasus I.
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