On Fuzzy Ordered Hyperideals in Ordered Semihyperrings

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Kazanci O., Yilmaz Ş. , Davvaz B.

ADVANCES IN FUZZY SYSTEMS, vol.2019, 2019 (Journal Indexed in ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 2019
  • Publication Date: 2019
  • Doi Number: 10.1155/2019/3693926
  • Title of Journal : ADVANCES IN FUZZY SYSTEMS


In this paper, we introduce the concept of fuzzy ordered hyperideals of ordered semihyperrings, which is a generalization of the concept of fuzzy hyperideals of semihyperrings to ordered semihyperring theory, and we investigate its related properties. We show that every fuzzy ordered quasi-hyperideal is a fuzzy ordered bi-hyperideal, and, in a regular ordered semihyperring, fuzzy ordered quasi-hyperideal and fuzzy ordered bi-hyperideal coincide.