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2021 | 154 | 117-132
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Interval valued Fermatean fuzzy interior (bi) Γ – hyperideals in Γ – hypersemigroups

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Interval valued Fermatean fuzzy set is an exyension of Fermatean fuzzy set. It is a combination of interval valued fuzzy set and Fermatean fuzzy set. In this paper we propose the notion of interval valued Fermatean fuzzy et. It is a pair of intevral numbers such that the sum of the ccubic of the upper bounds should be less than or equal to one. Some basic properties based on interval valued Feramtean fuzzy set is studied. We introduce the concept of interval valued Feramtean fuzzy Γ - subsemihypergroup, interval valued Feramtean fuzzy (bi, interior) Γ - hypersemigroup. Relation between these Γ - hyperideals are also discussed with suitable examples. Finally the inverse image of an interval valued Feramtean fuzzy set is established and also proved that the inverse image of an interval valued Feramtean fuzzy (bi, interior) Γ - hyperideal is also an interval valued Feramtean fuzzy (bi, interior) Γ - hyperideal.
Physical description
  • Department of Mathematics, Dharmapuram Gnanambigai Govt. Arts College (W), Mailaduthurai, Tamil Nadu, India
  • Department of Mathematics, Annamalai University, Chidambaram, Tamil Nadu, India
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