on ( $alpha, beta$ )-fuzzy hv-ideals of h_{v}-rings

using the notion of “belongingness ($epsilon$)” and “quasi-coincidence (q)” of fuzzy points with fuzzy sets, we introduce the concept of an ($ alpha, beta$)- fuzzyhv-ideal of an hv-ring, where , are any two of {$epsilon$, q,$epsilon$ $vee$ q, $epsilon$ $wedge$ q} with $ alpha$ $neq$ $epsilon$ $wedge$ q. since the concept of ($epsilon$, $epsilon$ $vee$ q)-fuzzy hv-ideals is an important and useful generalization of ordinary fuzzy hv-ideals, we discuss some fundamental aspects of ($epsilon$, $epsilon$ $vee$ q)-fuzzy hv-ideals. a fuzzy subset a of an hv-ring r is an ($epsilon$, $epsilon$ $vee$ q)-fuzzy hv-ideal if and only if an at, level cut of a, is an hv-ideal of r, for all t$epsilon$(0, 0.5]. this shows that an($epsilon$, $epsilon$ $vee$ q)-fuzzy hv-ideal is a generalization of the existing concept of fuzzy hv-ideal. finally, we extend the concept of a fuzzy subgroup with thresholds to the concept of a fuzzy h_{v}-ideal with thresholds.