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Issue:(∈, ∈∨q)-Intuitionistic fuzzy ideals of BCK/BCI-algebras

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Title of paper: (∈, ∈∨q)-Intuitionistic fuzzy ideals in BCK/BCI-algebras
Author(s):
S. R. Barbhuiya
Department of Mathematics, Srikishan Sarda College, Hailakandi, 788151, Assam, India
saidurbarbhuiya@gmail.com
Published in: "Notes on IFS", Volume 21, 2015, Number 1, pages 24—42
Download:  PDF (278  Kb, Info)
Abstract: In this paper, we introduced the concept of (∈, ∈∨q)-Intuitionistic fuzzy ideals of BCK-algebras. Characterizations of (∈, ∈∨q)-Intuitionistic fuzzy ideals are given and condition for (∈, ∈∨q)-Intuitionistic fuzzy ideals to be an (∈, ∈)-Intuitionistic fuzzy ideals are established. Cartesian product and intersection of two (∈, ∈∨q)-Intuitionistic fuzzy ideals are also discussed. Homomorphic image and pre-image of (∈, ∈∨q)-Intuitionistic fuzzy ideals are investigated.
Keywords: BCK-algebra, Fuzzy ideal, (∈, ∈∨q)-fuzzy ideal, (∈, ∈∨q)-intuitionistic fuzzy ideal, Homomorphism.
AMS Classification: 06F35, 03G25, 03E72.
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