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## Fuzziness on Hopf Algebraic Structures with Its Application

#### Munir AHMED [1] , Tahir MAHMOOD [2] , Muhammad MUNIR [3]

The objective of writing this manuscript is to apply the concept of fuzzy set on some basic Hopf algebraic structures. In this manuscript, the novel concepts of fuzzy Hopf subalgebra, fuzzy Hopf ideal, and fuzzy H-submodule are proposed. Some properties of these concepts are discussed, and some significant results are also proved in it. The advantages of the proposed work are also studied in it. The application of the proposed work is also discussed in it.
Fuzzy Hopf subalgebra, fuzzy Hopf ideal, fuzzy H-submodule
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Primary Language en Mathematics Research Article Orcid: 0000-0003-4335-6560Author: Munir AHMED (Primary Author)Institution: Islamabad Model College For BoysCountry: Pakistan Orcid: 0000-0003-4806-8832Author: Tahir MAHMOODInstitution: International Islamic UniversityCountry: Pakistan Orcid: 0000-0002-4976-4074Author: Muhammad MUNIRInstitution: International Islamic UniversityCountry: Pakistan Publication Date : June 30, 2021
 Bibtex @research article { jnt846538, journal = {Journal of New Theory}, issn = {2149-1402}, address = {Mathematics Department, Gaziosmanpasa University 60250 Tokat-TURKEY.}, publisher = {Gaziosmanpasa University}, year = {2021}, volume = {}, pages = {20 - 31}, doi = {10.53570/jnt.846538}, title = {Fuzziness on Hopf Algebraic Structures with Its Application}, key = {cite}, author = {Ahmed, Munir and Mahmood, Tahir and Munır, Muhammad} } APA Ahmed, M , Mahmood, T , Munır, M . (2021). Fuzziness on Hopf Algebraic Structures with Its Application . Journal of New Theory , (35) , 20-31 . DOI: 10.53570/jnt.846538 MLA Ahmed, M , Mahmood, T , Munır, M . "Fuzziness on Hopf Algebraic Structures with Its Application" . Journal of New Theory (2021 ): 20-31 Chicago Ahmed, M , Mahmood, T , Munır, M . "Fuzziness on Hopf Algebraic Structures with Its Application". Journal of New Theory (2021 ): 20-31 RIS TY - JOUR T1 - Fuzziness on Hopf Algebraic Structures with Its Application AU - Munir Ahmed , Tahir Mahmood , Muhammad Munır Y1 - 2021 PY - 2021 N1 - doi: 10.53570/jnt.846538 DO - 10.53570/jnt.846538 T2 - Journal of New Theory JF - Journal JO - JOR SP - 20 EP - 31 VL - IS - 35 SN - 2149-1402- M3 - doi: 10.53570/jnt.846538 UR - https://doi.org/10.53570/jnt.846538 Y2 - 2021 ER - EndNote %0 Journal of New Theory Fuzziness on Hopf Algebraic Structures with Its Application %A Munir Ahmed , Tahir Mahmood , Muhammad Munır %T Fuzziness on Hopf Algebraic Structures with Its Application %D 2021 %J Journal of New Theory %P 2149-1402- %V %N 35 %R doi: 10.53570/jnt.846538 %U 10.53570/jnt.846538 ISNAD Ahmed, Munir , Mahmood, Tahir , Munır, Muhammad . "Fuzziness on Hopf Algebraic Structures with Its Application". Journal of New Theory / 35 (June 2021): 20-31 . https://doi.org/10.53570/jnt.846538 AMA Ahmed M , Mahmood T , Munır M . Fuzziness on Hopf Algebraic Structures with Its Application. JNT. 2021; (35): 20-31. Vancouver Ahmed M , Mahmood T , Munır M . Fuzziness on Hopf Algebraic Structures with Its Application. Journal of New Theory. 2021; (35): 20-31. IEEE M. Ahmed , T. Mahmood and M. Munır , "Fuzziness on Hopf Algebraic Structures with Its Application", Journal of New Theory, no. 35, pp. 20-31, Jun. 2021, doi:10.53570/jnt.846538

Authors of the Article
[1]
[3]