Call for Papers for the 27th International Conference on Intuitionistic Fuzzy Sets is now open!
Conference: 5–6 July 2024, Burgas, Bulgaria • EXTENDED DEADLINE for submissions: 15 APRIL 2024.
Conference: 5–6 July 2024, Burgas, Bulgaria • EXTENDED DEADLINE for submissions: 15 APRIL 2024.
Issue:On the translational invariant intuitionistic fuzzy subset of a Γ-ring: Difference between revisions
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(Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}} {{issue/title | title = On the translational invariant intuitionistic fuzzy subset of a Γ-ring | shortcut = nifs/28/1/11-22 }} {{issue/author | author = Hem Lata | institution = Research Scholar, Lovely Professional University | address = Phagwara, Punj...") |
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| author = P. K. Sharma | | author = P. K. Sharma | ||
| institution = Post Graduate Department of Mathematics, D.A.V. College | | institution = Post Graduate, Department of Mathematics, D.A.V. College | ||
| address = Jalandhar, Punjab, India | | address = Jalandhar, Punjab, India | ||
| email-before-at = pksharma | | email-before-at = pksharma | ||
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| format = PDF | | format = PDF | ||
| size = 212 Kb | | size = 212 Kb | ||
| abstract = In this paper, we introduce the notion of translational invariant intuitionistic fuzzy subset of a Γ-ring and generalize some notions of a ring to a Γ-ring. Also, we define ideals of a Γ-ring generated by an intuitionistic fuzzy subset with an element of Γ-ring and study their | | abstract = In this paper, we introduce the notion of translational invariant intuitionistic fuzzy subset of a Γ-ring and generalize some notions of a ring to a Γ-ring. Also, we define ideals of a Γ-ring generated by an intuitionistic fuzzy subset with an element of Γ-ring and study their properties. The notion of units, associate, prime element, irreducible element are also generalized with respect to the intuitionistic fuzzy subset of a Γ-ring. Further, we study the properties of homomorphic image and pre-image of translational invariant intuitionistic fuzzy subset under the Γ-ring homomorphism and we prove that every homomorphic image of a prime ideal of a Γ-ring generated by an ''A<sub>γ</sub>''-prime element and translational invariant and f-invariant intuitionistic fuzzy subset is also a prime ideal. | ||
properties. The notion of units, associate, prime element, irreducible element are also generalized with respect to the intuitionistic fuzzy subset of a Γ-ring. Further, we study the properties of homomorphic image and pre-image of translational invariant intuitionistic fuzzy subset under the Γ-ring homomorphism and we prove that every homomorphic image of a prime ideal of a Γ-ring generated by an ''A<sub>γ</sub>''-prime element and translational invariant and f-invariant intuitionistic fuzzy subset is also a prime ideal. | |||
| keywords = Γ-Ring, Translational invariant intuitionistic fuzzy subset (TIIFS), f-invariant intuitionistic fuzzy subset, ''A<sub>γ</sub>''-unit, ''A<sub>γ</sub>''-prime element. | | keywords = Γ-Ring, Translational invariant intuitionistic fuzzy subset (TIIFS), f-invariant intuitionistic fuzzy subset, ''A<sub>γ</sub>''-unit, ''A<sub>γ</sub>''-prime element. | ||
| ams = 16Y99, 03F55, 03G25 | | ams = 16Y99, 03F55, 03G25 |
Latest revision as of 08:36, 6 April 2022
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