More context would be helpful, but "members of the society" presumably refers to people who belong to a society like "The Neasden Antique-Lovers' Society", or whatever (I just made up a silly name at random). "members of society" (no "the") has a roughly similar meaning to "members of the public", but the former is a bit more grand or large-scale, and the latter is more everyday, so in a situation like this one would use the latter.
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