On generalized redefined fuzzy prime ideals of ordered semigroups

نویسندگان

  • G. Mohanraj
  • D. Krishnaswamy
  • R. Hema
چکیده

In this paper, with a new idea, we redefine generalized fuzzy ideal and investigate some of its properties. We generalize fuzzy prime ideals and introduce the notions of (∈,∈ ∨q)−fuzzy prime ideal of ordered semigroups. We characterize (∈,∈ ∨q)−fuzzy prime ideal by its image and level ideals. We establish necessary and sufficient condition for fuzzy set to be a (∈,∈ ∨q)−fuzzy prime ideal. 2010 AMS Classification: 06F05, 08A72, 20N25

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تاریخ انتشار 2012