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Journal of Systems Science and Complexity

, Volume 20, Issue 3, pp 470–478 | Cite as

On Fuzzy h-Ideals of Hemirings

  • Xueling Ma
  • Jianming ZhanEmail author
Article

Abstract

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 (\(\in, \in \vee q\))-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.

Keywords

Hemirings h-ideals interval valued (\(\in, \in \vee q\))-fuzzy h-ideals interval valued fuzzy h-ideals with thresholds 

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© Springer Science + Business Media, LLC 2007

Authors and Affiliations

  1. 1.Department of MathematicsHubei Institute for NationalitiesEnshiChina

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