On Fuzzy <Emphasis Type="Italic">h</Emphasis>-Ideals of Hemirings

The concept of quasi-coincidence of a fuzzy interval value in an interval valued fuzzy set is considered. In fact, this concept is a generalized concept of the quasi-coincidence of a fuzzy point in a fuzzy set. By using this new concept, the authors define the notion of interval valued ( )-fuzzy h-ideals of hemirings and study their related properties. In addition, the authors also extend the concept of a fuzzy subgroup with thresholds to the concept of an interval valued fuzzy h-ideal with thresholds in hemirings. Supported by the National Natural Science Foundation of China under Grant No. 60474022 and the Key Science Foundation of Education Committee of Hubei Province, China under Grant No. D200729003.