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Intuitionistic fuzzy H v -ideals

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  • Bijan Davvaz
  • Wieslaw A. Dudek

Abstract

The notion of intuitionistic fuzzy sets was introduced by Atanassov as a generalization of the notion of fuzzy sets. In this paper, we apply the concept of intuitionistic fuzzy sets to H v -rings. We introduce the notion of an intuitionistic fuzzy H v -ideal of an H v -ring and then some related properties are investigated. We state some characterizations of intuitionistic fuzzy H v -ideals. Also we investigate some natural equivalence relations on the set of all intuitionistic fuzzy H v -ideals of an H v -ring.

Suggested Citation

  • Bijan Davvaz & Wieslaw A. Dudek, 2006. "Intuitionistic fuzzy H v -ideals," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2006, pages 1-11, July.
    • Handle: RePEc:hin:jijmms:065921
    DOI: 10.1155/IJMMS/2006/65921
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