Kernel dari Fuzzy Grup
DOI:
https://doi.org/10.25077/jmua.12.1.46-54.2023Keywords:
grup fuzzy, kernel, kernel grup fuzzy intusionistikAbstract
Himpunan fuzzy dapat didefinisikan dalam bentuk struktur aljabar seperti grup fuzzy, grup anti fuzzy dan grup fuzzy intusionistik. Pada artikel ini akan dibahas mengenai kernel dari grup fuzzy, grup anti fuzzy dan grup fuzzy intusionistik serta beberapa sifat yang dapat diturunkan dari konsep tersebut.
Downloads
References
Abobala, M., Hatip, A., 2021, emph{An Algebraic Approch to Neutrosophic Euclidean Geometry}, Neutrosophic Sets and Systems, textbf{43}.
Atanassov, K.T., 1986, Intutionistic Fuzzy sets. emph{Fuzzy Sets and Systems}, textbf{20}: 87--96
Bakhadach, I., Melliani, S., Oukessou, M., Chadli, L.S., 2016, emph{Intutionistic Fuzzy Ideal and Intutionistic Fuzzy Prime Ideal in a Ring}, ICIFSTA, textbf{22(2)}:59--63.
Bal, M., Ahmad, K.D., Hajjari, A.A., Ali, R., 2022, A Short Note On The Kernel Subgroup Of Intuitionistic Fuzzy Groups, emph{Journal of Neutrosophic and Fuzzy Systems (JNFS)}, textbf{02 (1)}:14 -- 20
Dummit, D.S., Footed, R.M., 2004, textit{Abstract Algebra}, Edisi ke-3, John Wiley and Sons.
Gallian, J.A., 2020, textit{Contemporary Abstract Algebra}, Edisi ke-10, Chapman and Hall/CRC, New York.
Gupta, K.C., Sarma, B.K., 1999, emph{Nilpotent Fuzzy Groups}, Fuzzy Set and Systems, textbf{101}:167--176
Heirstein, I.N., 1996, textit{Abstract Algebra}, Edisi ke-3, Prentice-Hall, Inc, New Jersey.
Hur, K., Jang, S.Y., Kang, H.W., 2005, emph{Intutionistic Fuzzy Ideal of a Ring}, J. Korea Soc. Math. Edu. Ser.B: Pur Appl. Math., textbf{12}
Hur, K., Kang, H.W., Song, H.K., 2003, emph{Intutionistic Fuzzy Subgroups and Subrings}, Honam Math J., textbf{25(1)}:19--41.
Katy, D. A., Mikail, B., Malath, A. 2022, emph{The Kernel of Fuzzy and Anti-Fuzzy Groups}, Journal of Neutrosophic and Fuzzy Systems, textbf{1}:48--54
Liu, W.J., 1982, emph{Fuzzy Invariant Subgroups and Fuzzy Ideals}, Fuzzy Set and Systems, textbf{8}: 133-139
Marashdeh, M.F., Salleh, A.R., 2011, emph{Intutionistic Fuzzy Rings}, International Journal of Algebra, textbf{5(1)}:37--47.
Rosenfeld, A., 1971, emph{Fuzzy Groups}, J.Math. Anal. Appl., textbf{35}:512--517
Sharma, P.K., 2011, emph{($alpha, beta$)-Cut Intutionistic FUzzy Groups}, International Mathematical Forum, textbf{6(53)}:2605--2614.
Sivaramakrishna, P.D., 1981, emph{Fuzzy Groups and Level Subgroups}, J.Math. Anal. Appl., textbf{84}:264--269
Wu, W.M., 1981, emph{Normal Fuzzy Subgroups}, Fuzzy Mathematics, textbf{1(1)}:21--30
Zadeh, L.A., 1965, emph{Fuzzy Sets}, Information and Control, textbf{8}: 338--353
Downloads
Additional Files
Published
How to Cite
Issue
Section
License
All articles published in Jurnal Matematika UNAND (JMUA) are open access and licensed under the Creative Commons Attribution-ShareAlike 4.0 International License (CC BY-SA 4.0). This license allows published content to be freely accessed, shared, redistributed, and adapted for any purpose, including commercial use, provided that the applicable license conditions are followed.
Copyright Holder
The copyright of articles published in Jurnal Matematika UNAND is held by the Departemen Matematika dan Sains Data, Fakultas Matematika dan Ilmu Pengetahuan Alam (FMIPA), Universitas Andalas (UNAND), in accordance with the journal's stated copyright policy.
Author Rights
Under the CC BY-SA 4.0 license, authors may share, distribute, and reuse their published articles, subject to the applicable license conditions. These rights include:
-
Self-Archiving: Authors may deposit their published articles in institutional repositories, personal websites, or academic platforms.
-
Reuse: Authors may reuse their published work in subsequent publications, research, teaching materials, or other lawful purposes, provided that appropriate attribution is maintained.
-
Distribution: Authors may share and distribute their published articles without requiring additional permission under the terms of the license.
Creative Commons License (CC BY-SA 4.0)
Under the CC BY-SA 4.0 license, users are free to:
-
Share: Copy and redistribute the material in any medium or format.
-
Adapt: Remix, transform, and build upon the material for any purpose, including commercial purposes.
These permissions are subject to the following conditions:
-
Attribution: Users must give appropriate credit to the original author(s), retain relevant copyright notices, provide a link to the license, and indicate if changes were made. Attribution must not imply endorsement by the author(s), copyright holder, or journal.
-
ShareAlike: If users remix, transform, or build upon the material, they must distribute their contributions under the same CC BY-SA 4.0 license or a compatible license.
-
No Additional Restrictions: Users may not apply legal terms or technological measures that legally restrict others from exercising the rights granted by the license.
For more information about the CC BY-SA 4.0 license, please visit:
https://creativecommons.org/licenses/by-sa/4.0/
Third-Party Content
Third-party materials, including figures, tables, photographs, and illustrations, are covered by the article's CC BY-SA 4.0 license only when their inclusion under that license is authorized.
Materials excluded from the license must be clearly identified with appropriate copyright notices and attribution. Authors are responsible for obtaining any necessary permissions, while users must comply with the applicable licensing terms or permissions when reusing excluded materials.
Copyright and Licensing Information
Copyright and licensing information should be clearly displayed on each published article's landing page and included in the full-text versions (HTML and PDF), where applicable, to ensure transparency regarding copyright ownership and permitted reuse.
