2009
DOI: 10.5391/ijfis.2009.9.2.110
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Intuitionistic fuzzy k-ideals of a semiring

Abstract: We introduce the concepts of intuitionistic fuzzy k-ideals and intuitionistic fuzzy prime k-ideals of a semiring. And we investigate some properties of them.

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Cited by 5 publications
(4 citation statements)
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“…M. Akram and W. A. Dudek [2] introduced the notion of intuitionistic fuzzy left k−ideals in semiring. The prime motivation for this paper is [7,8]. In this paper, we apply the concept of intuitionistic fuzzy set to Γ−semirings.…”
Section: Introductionmentioning
confidence: 99%
“…M. Akram and W. A. Dudek [2] introduced the notion of intuitionistic fuzzy left k−ideals in semiring. The prime motivation for this paper is [7,8]. In this paper, we apply the concept of intuitionistic fuzzy set to Γ−semirings.…”
Section: Introductionmentioning
confidence: 99%
“…Yaqoob et al [22] extended the work of Hila and Dine [21] and characterized intra-regular LA-semihypergroups by their hyperideals using pure left identities. Subsequently, many researchers studied the structures of LA-semihypergroups from different perspectives [23][24][25][26][27][28][29][30].…”
Section: Introductionmentioning
confidence: 99%
“…The notion of anti-fuzzy subgroups of groups was introduced by Biswas in [18], and the concept of anti-fuzzy R-subgroups of the near-ring was studied by Jun et al [19]. In addition, Kim and Jun [20] introduced the notion of anti-fuzzy ideals in near-rings in an intuitionistic fuzzy environment and studied the notion of generalized anti-fuzzy bi-ideals in ordered semigroups. Several researchers have also studied the ring concept in terms of intuitionistic fuzzy environments [21,22].…”
Section: Introductionmentioning
confidence: 99%