In the paper [Y. B. Jun, B. Davvaz and A. Khan, Filters of ordered semigroups based on the fuzzy points, JIFS 24 (2013) 619-630]. Jun et al. discussed the notion of (

)-fuzzy left (resp., right) filters as a generalization of the notion of (

)-fuzzy left (resp., right) filters of ordered semigroups. In this article, we try to obtain a more general form that (

)-fuzzy left (resp., right) filters in ordered semigroups. The notion of (

)-fuzzy left (resp., right) filters is discussed, and several properties are investigated. Characterizations of an (

)-fuzzy left (resp., right) filter are established. A condition for an (

)-fuzzy left (resp., right) filter to be a fuzzy left (resp., right) filter is provided. The important achievement of the study with an (

)-fuzzy left (right) filter is that the notion of an (

)-fuzzy left ( right) filter and hence an (

)-fuzzy left (resp. right) filter are special cases of an (

)-fuzzy left (resp. right) filter, and thus several results in published papers are becoming corollaries of our results obtained in this paper.