Relevant bibliographies by topics / Fuzzy subgroup

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Fuzzy subgroup'

Author: Grafiati
Published: 2 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Fuzzy subgroup"

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Dughman, Hawwa M. S., Amnnah A. A. Rasheed, and Khadeejah A. A. Alqamoudi. "Pythagorean M-Fuzzy subgroups under a T-norm." International Science and Technology Journal 32, no. 1 (2023): 1–17. https://doi.org/10.62341/hakp0275.

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This study explores the structural properties of Pythagorean M- fuzzy groups, building upon prior works by several researchers. It introduces the Pythagorean M-Fuzzy subgroup as a generalization of intuitionistic fuzzy subgroups, along with Pythagorean M-Fuzzy cosets and Pythagorean M-Fuzz normal subgroups. The study also discusses the impact of group homomorphisms on Pythagorean M- Fuzzy subgroups under a T-norm. Keywords: Pythagorean fuzzy set, Pythagorean fuzzy subgroup, M-fuzzy subgroup, Pythagorean M-fuzzy subgroup
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Noor, Fiqriani, Saman Abdurrahman та Naimah Hijriati. "ANTI SUBGRUP α-FUZZY". JURNAL MATEMATIKA MURNI DAN TERAPAN EPSILON 14, № 1 (2020): 10. http://dx.doi.org/10.20527/epsilon.v14i1.2199.

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The concept of fuzzy subgroups is a combination of the group structure with the fuzzy set, which was first introduced by Rosenfeld (1971). This concept became the basic concept in other the fuzzy algebra fields such as fuzzy normal subgroups, anti fuzzy subgroups and anti fuzzy normal subgroups. The development in the area of fuzzy algebra is characterized by the continual emergence of new concepts, one of which is the α-anti fuzzy subgroup concept. The idea of α-anti fuzzy subgroups is a combination between the α-anti fuzzy subset and anti fuzzy subgroups. The α-anti subset fuzzy which is an
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Ejegwa, Paul Augustine, and Ahmed Ibrahim Isah. "On intuitionistic fuzzy characteristic and Frattini subgroups." Notes on Intuitionistic Fuzzy Sets 31, no. 1 (2025): 64–79. https://doi.org/10.7546/nifs.2025.31.1.64-79.

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This paper presents intuitionistic fuzzy characteristic subgroups and discusses some of its properties. It is established that an intuitionistic fuzzy subgroup of an intuitionistic fuzzy group is characteristic provided its cuts are characteristic subgroups. In addition, it is proven that every intuitionistic fuzzy characteristic subgroup of an intuitionistic fuzzy group is an intuitionistic fuzzy normal subgroup. Furthermore, the notions of intuitionistic fuzzy maximal subgroups and intuitionistic fuzzy Frattini subgroups are established. It is shown that every intuitionistic fuzzy Frattini s
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Cahyo, Bagas Dwi, Suroto Suroto, and Sri Maryani. "CHARACTERIZATION OF NORMAL FUZZY SUBGROUP." Mathline : Jurnal Matematika dan Pendidikan Matematika 10, no. 2 (2025): 351–60. https://doi.org/10.31943/mathline.v10i2.791.

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In this article, we discuss the characterization of a normal fuzzy subgroup of classical group . The discussion of this characterization is carried out using Abelian properties, fuzzy conjugate subgroups, fuzzy normalizers, ????-level sets, and fuzzy cosets. The result shows that a sufficient and necessary condition for a normal fuzzy subgroup is the fulfilment of the Abelian condition in the fuzzy subgroup. Then, the equality between of the membership value of all element of and its conjugate elements is also a sufficient and necessary condition for normal fuzzy subgroup of ????. Moreover, su
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Masmali, Ibtisam, Umer Shuaib, Abdul Razaq, Areeba Fatima та Ghaliah Alhamzi. "On Fundamental Algebraic Characterizations of μ -Fuzzy Normal Subgroups". Journal of Function Spaces 2022 (19 травня 2022): 1–10. http://dx.doi.org/10.1155/2022/2703489.

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In this article, we present the study of μ -fuzzy subgroups and prove numerous fundamental algebraic attributes of this newly defined notion. We also define the concept of μ -fuzzy normal subgroup and investigate many vital algebraic characteristics of these phenomena. In addition, we characterize the quotient group induced by this particular fuzzy normal subgroup and establish a group isomorphism between the quotient groups G / κ μ and G / κ ∗ μ . Furthermore, we initiate the study of level subgroup, open level subgroup, and tangible subgroup of a μ -fuzzy subgroup and emphasize the significa
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Abdurrahman, Saman. "Image (Pre-image) Homomorfisme Interior Subgrup Fuzzy." Jurnal Fourier 8, no. 1 (2019): 15–18. http://dx.doi.org/10.14421/fourier.2019.81.15-18.

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Dalam makalah ini, akan diperkenalkan notasi image (pre-image) di bawah homomorfisma grup, dan akan dibuktikan image (pre-image) interior subgrup fuzzy (interior subgrup) di bawah homomorfisma grup selalu interior subgrup fuzzy (interior subgrup).
 [In this paper, we will introduce the image (pre-image) under the group homomorphism, and we will prove the image (pre-image) of the interior of the fuzzy subgroup (the interior of the subgroup) under the group homomorphism is always the interior of the fuzzy subgroup (the interior of the subgroup).]
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Alolaiyan, Hanan, Halimah A. Alshehri, Muhammad Haris Mateen, Dragan Pamucar та Muhammad Gulzar. "A Novel Algebraic Structure of (α,β)-Complex Fuzzy Subgroups". Entropy 23, № 8 (2021): 992. http://dx.doi.org/10.3390/e23080992.

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A complex fuzzy set is a vigorous framework to characterize novel machine learning algorithms. This set is more suitable and flexible compared to fuzzy sets, intuitionistic fuzzy sets, and bipolar fuzzy sets. On the aspects of complex fuzzy sets, we initiate the abstraction of (α,β)-complex fuzzy sets and then define α,β-complex fuzzy subgroups. Furthermore, we prove that every complex fuzzy subgroup is an (α,β)-complex fuzzy subgroup and define (α,β)-complex fuzzy normal subgroups of given group. We extend this ideology to define (α,β)-complex fuzzy cosets and analyze some of their algebraic
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Sharma, Poonam Kumar. "On commutativity of intuitionistic L-fuzzy groups." Notes on Intuitionistic Fuzzy Sets 31, no. 1 (2025): 1–8. https://doi.org/10.7546/nifs.2025.31.1.1-8.

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In this paper, we discuss the commutativity of an intuitionistic L-fuzzy subgroup of a group. Some necessary and sufficient conditions for an intuitionistic L-fuzzy subgroup to be commutative are derived. The relationship between commutativity and normality of intuitionistic L-fuzzy subgroups is briefly studied. It is also proved that any commutative intuitionistic L-fuzzy subgroup of a finite group admits a decomposition as a direct product of intuitionistic L-fuzzy subgroups of Sylow subgroups.
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Dr., S. V. Manemaran *1 &. Dr. R. Nagarajan2. "APPLICATIONS OF STEP N-FUZZY FACTOR GROUP UNDER FUZZY VERSION." GLOBAL JOURNAL OF ENGINEERING SCIENCE AND RESEARCHES 6, no. 7 (2019): 105–17. https://doi.org/10.5281/zenodo.3354318.

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In this paper, we define the notion of Step N-Fuzzy Soft subgroup and investigate the condition under which a Fuzzy Soft subgroup is Step N-Fuzzy Soft subgroup. We introduce the notion of Step N-Fuzzy Soft cosets and establish their algebraic properties. We also initiate the study of Step N-Fuzzy Soft normal subgroups and quotient group with respect to Step N-Fuzzy Soft normal subgroup and prove some of their various group theoretic properties.
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Abdurrahman, Saman. "Interior Subgrup Fuzzy." Jurnal Fourier 7, no. 1 (2018): 13–21. http://dx.doi.org/10.14421/fourier.2018.71.13-21.

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Tujuan dari penelitian ini adalah memperkenalkan konsep interior fuzzy subgrup (interior subgroup) dalam grup dan menyelidiki beberapa sifat yang terkait.
 [The aim of this paper is to introduce the notion of fuzzy interior subgroup (interior subgroup) in a group and investigate some related properties.]
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Dissertations / Theses on the topic "Fuzzy subgroup"

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Ngcibi, Sakhile Leonard. "Studies of equivalent fuzzy subgroups of finite abelian p-Groups of rank two and their subgroup lattices." Thesis, Rhodes University, 2006. http://hdl.handle.net/10962/d1005230.

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We determine the number and nature of distinct equivalence classes of fuzzy subgroups of finite Abelian p-group G of rank two under a natural equivalence relation on fuzzy subgroups. Our discussions embrace the necessary theory from groups with special emphasis on finite p-groups as a step towards the classification of crisp subgroups as well as maximal chains of subgroups. Unique naming of subgroup generators as discussed in this work facilitates counting of subgroups and chains of subgroups from subgroup lattices of the groups. We cover aspects of fuzzy theory including fuzzy (homo-) isomorp
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Ngcibi, Sakhile L. "Case studies of equivalent fuzzy subgroups of finite abelian groups." Thesis, Rhodes University, 2002. http://hdl.handle.net/10962/d1005215.

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The broad goal is to classify all fuzzy subgroups of a given type of finite group. P.S. Das introduced the ntion of level subgroups to characterize fuzzy subgroups of finite grouops. The notion of equivalence of fuzzy subgroups which is used in this thesis was first introduced by Murali and Makamba. We use this equivalence to charterise fuzzy subgroups of inite Abelian groups (p-groups in particular) for a specified prime p. We characterize some crisp subgroups of p-groups and investigate some cases on equi valent fuzzy subgroups.
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Appiah, Isaac Kwadwo. "The classsification of fuzzy subgroups of some finite Abelian p-groups of rank 3." Thesis, University of Fort Hare, 2016. http://hdl.handle.net/10353/2468.

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An important trend in fuzzy group theory in recent years has been the notion of classification of fuzzy subgroups using a suitable equivalence relation. In this dissertation, we have successfully used the natural equivalence relation defined by Murali and Makamba in [81] and a natural fuzzy isomorphism to classify fuzzy subgroups of some finite abelian p-groups of rank three of the form Zpn + Zp + Zp for any fixed prime integer p and any positive integer n. This was achieved through the usage of a suitable technique of enumerating distinct fuzzy subgroups and non-isomorphic fuzzy subgroups of
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Ndiweni, Odilo. "The classification of some fuzzy subgroups of finite groups under a natural equivalence and its extension, with particular emphasis on the number of equivalence classes." Thesis, University of Fort Hare, 2007. http://hdl.handle.net/10353/88.

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In this thesis we use the natural equivalence of fuzzy subgroups studied by Murali and Makamba [25] to characterize fuzzy subgroups of some finite groups. We focus on the determination of the number of equivalence classes of fuzzy subgroups of some selected finite groups using this equivalence relation and its extension. Firstly we give a brief discussion on the theory of fuzzy sets and fuzzy subgroups. We prove a few properties of fuzzy sets and fuzzy subgroups. We then introduce the selected groups namely the symmetric group 3 S , dihedral group 4 D , the quaternion group Q8 , cyclic p-group
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Book chapters on the topic "Fuzzy subgroup"

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N. Mordeson, John, Kiran R. Bhutani, and Azriel Rosenfeld. "Free Fuzzy Subgroups and Fuzzy Subgroup Presentations." In Fuzzy Group Theory. Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/10936443_5.

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Mohamed Ismail, A., M. Premkumar, A. Prasanna, S. Ismail Mohideen, and Dhirendra Kumar Shukla. "On Product of Doubt ψ − Ǭ − Fuzzy Subgroup." In IOT with Smart Systems. Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-3575-6_41.

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Dai, Shuo, Yong Zhang, Limin Jia, and Yong Qin. "A Subgroup Discovery Algorithm Based on Genetic Fuzzy Systems." In Proceedings of the 2015 Chinese Intelligent Automation Conference. Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-662-46469-4_18.

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Berlanga, Francisco, María José del Jesus, Pedro González, Francisco Herrera, and Mikel Mesonero. "Multiobjective Evolutionary Induction of Subgroup Discovery Fuzzy Rules: A Case Study in Marketing." In Advances in Data Mining. Applications in Medicine, Web Mining, Marketing, Image and Signal Mining. Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/11790853_27.

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Carmona, C. J., and J. Luengo. "A First Approach in the Class Noise Filtering Approaches for Fuzzy Subgroup Discovery." In Advances in Intelligent Systems and Computing. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-19719-7_34.

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Carmona, C. J., P. González, M. J. del Jesus, and F. Herrera. "Non-dominated Multi-objective Evolutionary Algorithm Based on Fuzzy Rules Extraction for Subgroup Discovery." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-02319-4_69.

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Singh, Manoranjan Kumar. "Fuzzy Subgroups and Fuzzy Normal Subgroups." In Forum for Interdisciplinary Mathematics. Springer Nature Singapore, 2024. https://doi.org/10.1007/978-981-97-3257-9_6.

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N. Mordeson, John, Kiran R. Bhutani, and Azriel Rosenfeld. "Direct Products of Fuzzy Subgroups and Fuzzy Cyclic Subgroups." In Fuzzy Group Theory. Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/10936443_7.

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N. Mordeson, John, Kiran R. Bhutani, and Azriel Rosenfeld. "Lattices of Fuzzy Subgroups." In Fuzzy Group Theory. Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/10936443_9.

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N. Mordeson, John, Kiran R. Bhutani, and Azriel Rosenfeld. "Fuzzy Subsets and Fuzzy Subgroups." In Fuzzy Group Theory. Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/10936443_1.

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Conference papers on the topic "Fuzzy subgroup"

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Al-Husban, Abdallah, Abdul Razak Salleh, and Nasruddin Hassan. "Complex fuzzy normal subgroup." In THE 2015 UKM FST POSTGRADUATE COLLOQUIUM: Proceedings of the Universiti Kebangsaan Malaysia, Faculty of Science and Technology 2015 Postgraduate Colloquium. AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4931335.

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Fernandez-Peralta, Raquel, Sebastia Massanet, Megha Gupta, Kavit Nanavati, and Balasubramaniam Jayaram. "Subgroup Discovery Through Sharp Transitions Using Implicative Type Rules." In 2023 IEEE International Conference on Fuzzy Systems (FUZZ). IEEE, 2023. http://dx.doi.org/10.1109/fuzz52849.2023.10309697.

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Ortolani, M., O. Callan, D. E. Patterson, and M. R. Berthold. "Fuzzy subgroup mining for gene associations." In IEEE Annual Meeting of the Fuzzy Information, 2004. Processing NAFIPS '04. IEEE, 2004. http://dx.doi.org/10.1109/nafips.2004.1337362.

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Abdurrahman, Saman. "Homomorphisms and (λ, µ] – Fuzzy subgroup". У PROCEEDINGS OF THE 6TH NATIONAL CONFERENCE ON MATHEMATICS AND MATHEMATICS EDUCATION. AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0096015.

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Li, Xiaoshen, Xuehai Yuan, and Letao Wu. "Logic Value Fuzzy Subgroup Of a Group." In 2015 International Conference on Computer Science and Intelligent Communication. Atlantis Press, 2015. http://dx.doi.org/10.2991/csic-15.2015.100.

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Fatima, Areej, Naveed Hussain, Muhammad Usman, Mobeen Aslam та Nadia Ramzan. "Algebraic Aspacts of ξ-Pythagorean fuzzy subgroup". У Resent Trends in Statistics Data Analytics. Air University, 2024. https://doi.org/10.62500/icrtsda.1.1.36.

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Selvarathi, M. "Implication-based anti-fuzzy subgroup using triangular norms." In 2ND INTERNATIONAL CONFERENCE ON ENERGETICS, CIVIL AND AGRICULTURAL ENGINEERING 2021 (ICECAE 2021). AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0115256.

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Carmona, Cristobal Jose, Pedro Gonzalez, Maria Jose del Jesus, and Francisco Herrera. "An analysis of evolutionary algorithms with different types of fuzzy rules in subgroup discovery." In 2009 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE). IEEE, 2009. http://dx.doi.org/10.1109/fuzzy.2009.5277412.

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Carmona, C. J., J. Luengo, P. Gonzalez, and M. J. del Jesus. "A preliminary study on missing data imputation in evolutionary fuzzy systems of subgroup discovery." In 2012 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE). IEEE, 2012. http://dx.doi.org/10.1109/fuzz-ieee.2012.6251182.

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Carmona, Cristobal J., Pedro Gonzalez, and Maria Jose del Jesus. "FuGePSD: Fuzzy Genetic Programming-based algorithm for Subgroup Discovery." In 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology (IFSA-EUSFLAT-15). Atlantis Press, 2015. http://dx.doi.org/10.2991/ifsa-eusflat-15.2015.65.

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