(α,β)-intuitionistic fuzzy ideals of hemirings

  • Authors:
  • Saleem Abdullah;Bijan Davvaz;Muhammad Aslam

  • Affiliations:
  • Mathematics Department, Quaid i Azam University, Islamabad, Pakistan;Department of Mathematics, Yazd University, P.O. Box 89195-741, Yazd, Iran;Mathematics Department, Quaid i Azam University, Islamabad, Pakistan

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2011

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Abstract

In this paper, we introduce the concept of (@a,@b)-intuitionistic fuzzy sub-hemiring, (left, right, two sided) ideals of hemirings, where @a,@b are any two of {@?,q,@?@?q,@?@?q} with @a@?@?q, by using belongs to relation (@?) and quasi-coincidence with relation (q) between intuitionistic fuzzy points and intuitionistic fuzzy sets, and investigate related properties. Moreover, we define prime(semiprime) (@a,@b)-intuitionistic fuzzy ideals of hemirings and investigate some different properties of these ideals.