Intuitionistic nil radicals of intuitionistic fuzzy ideals and Euclidean intuitionistic fuzzy ideals in rings

  • Authors:

  • Young Bae Jun;Mehmet Ali Öztürk;Chul Hwan Park

  • Affiliations:

  • Department of Mathematics Education (and RINS), Gyeongsang National University, Chinju 660-701, Republic of Korea;Department of Mathematics, Faculty of Arts and Sciences Cumhuriyet University, 58140 Sivas, Turkey;Department of Mathematics, University of Ulsan, Ulsan 680-749, Republic of Korea

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2007

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Abstract

The notion of intuitionistic nil radicals of intuitionistic fuzzy ideals in rings is introduced, and related properties are investigated. The notion of semiprime intuitionistic fuzzy ideals is provided, and its characterization is established. The concept of Euclidean intuitionistic fuzzy ideals is also introduced, and its characterization is established.