Relevant bibliographies by topics / Fuzzy subgroup / Journal articles
To see the other types of publications on this topic, follow the link: Fuzzy subgroup.

Journal articles on the topic 'Fuzzy subgroup'

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

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Fuzzy subgroup.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

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.

Full text
Abstract:
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
APA, Harvard, Vancouver, ISO, and other styles
2

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.

Full text
Abstract:
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
APA, Harvard, Vancouver, ISO, and other styles
3

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.

Full text
Abstract:
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
APA, Harvard, Vancouver, ISO, and other styles
4

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.

Full text
Abstract:
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
APA, Harvard, Vancouver, ISO, and other styles
5

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.

Full text
Abstract:
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
APA, Harvard, Vancouver, ISO, and other styles
6

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.

Full text
Abstract:
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).]
APA, Harvard, Vancouver, ISO, and other styles
7

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.

Full text
Abstract:
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
APA, Harvard, Vancouver, ISO, and other styles
8

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.

Full text
Abstract:
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.
APA, Harvard, Vancouver, ISO, and other styles
9

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.

Full text
Abstract:
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.
APA, Harvard, Vancouver, ISO, and other styles
10

Abdurrahman, Saman. "Interior Subgrup Fuzzy." Jurnal Fourier 7, no. 1 (2018): 13–21. http://dx.doi.org/10.14421/fourier.2018.71.13-21.

Full text
Abstract:
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.]
APA, Harvard, Vancouver, ISO, and other styles
11

Almuhaimeed, Areej. "Pythagorean Fuzzy HX-subgroups and Their Applications." European Journal of Pure and Applied Mathematics 18, no. 2 (2025): 5768. https://doi.org/10.29020/nybg.ejpam.v18i2.5768.

Full text
Abstract:
In this paper, we introduce the notion of a pythagorean fuzzy HX-subgroup and a normal HX-subgroup. In addition, we prove various chracterisations for pythagorean fuzzy HX-subgroups and pythagorean normal HX-subgroups. Moreover, the notations of pythagorean fuzzy HX-subgroups homomorphisms and antihomomorphisms are introduced, and some related properties regarding the relationship between a pythagorean fuzzy set and its image are investigated. Characterisations of level pythagorean fuzzy HX-subgroups and normal HX-subgroups are proved. These results generalised some results regarding fuzzy HX-
APA, Harvard, Vancouver, ISO, and other styles
12

Al-harshni, Ahad Abdullah, та Dilshad Alghazzawi. "Algebraic Properties of ω , θ -Complex Fuzzy Subgroups". Mathematical Problems in Engineering 2022 (29 вересня 2022): 1–8. http://dx.doi.org/10.1155/2022/1426724.

Full text
Abstract:
This paper defined the notion of ω , θ -complex fuzzy sets, ω , θ -complex fuzzy subgroupoid, and ω , θ -complex fuzzy subgroups and described important examples under ω , θ -complex fuzzy sets. Additionally, we discussed the conjugacy class of group with respect to ω , θ -complex fuzzy normal subgroups. We define ω , θ -complex fuzzy cosets and elaborate the certain operation of this analog to group theoretic operation. We prove that factor group with regard to ω , θ -complex fuzzy normal subgroup forms a group and establishes an ordinary homomorphism from group to its factor group with regar
APA, Harvard, Vancouver, ISO, and other styles
13

N., Duraimanickam, and Deepica N. "ALGEBRAIC STRUCTURE OF UNION OF FUZZY SUBGROUPS AND FUZZY SUB-BIGROUPS." International Journal of Current Research and Modern Education, Special Issue (August 16, 2017): 95–99. https://doi.org/10.5281/zenodo.844069.

Full text
APA, Harvard, Vancouver, ISO, and other styles
14

Batunna, Imelda Bo’bo’, Harina O. L. Monim, and Junianto Sesa. "Study Of Fuzzy Groups In Z_p-{0 ̅ } Group." Jurnal Matematika, Statistika dan Komputasi 20, no. 3 (2024): 580–95. http://dx.doi.org/10.20956/j.v20i3.31827.

Full text
Abstract:
Group theory is a field of abstract algebra that studies the structure of sets. Some concepts that are developments of group theory are fuzzy subgroups. Suppose that G is a group, a fuzzy subset μ of G is called a fuzzy subgroup of G if it satisfies and for each . However, not all groups have fuzzy subgroups. The aim of this research is to show that is a classical group with multiplication operations in the group and determine fuzzy subgroups in the group . From the research results, it is found that the subset with prime modulo integers and is a classical group with group multiplication opera
APA, Harvard, Vancouver, ISO, and other styles
15

Paul, Augustine Ejegwa and Joseph Achile Otuwe. "Frattini fuzzy subgroups of fuzzy groups." Annals of Communications in Mathematics 2, no. 1 (2019): 24–31. https://doi.org/10.5281/zenodo.10041565.

Full text
Abstract:
This paper continues the study of fuzzy group theory which has been explored over times. We propose maximal fuzzy subgroups and Frattini fuzzy subgroups of fuzzy groups as extensions of maximal subgroups and Frattini subgroups of classical groups. It is shown that every Frattini fuzzy subgroup is both characteristic and normal, respectively. Finally, some results are established in connection to level subgroups and alpha cuts of fuzzy groups.
APA, Harvard, Vancouver, ISO, and other styles
16

DOGRA, SHOVAN, and MADHUMANGAL PAL. "Picture Fuzzy Subgroup." Kragujevac Journal of Mathematics 47, no. 6 (2023): 911. http://dx.doi.org/10.46793/kgjmat2306.911d.

Full text
Abstract:
Picture fuzzy subgroup of a crisp group is established here and some properties connected to it are investigated. Also, normalized restricted picture fuzzy set, conjugate picture fuzzy subgroup, picture fuzzy coset, picture fuzzy normal subgroup and the order of picture fuzzy subgroup are defined. The order of picture fuzzy subgroup is defined using the cardinality of a special type of crisp subgroup. Some corresponding properties are established in this regard. Significant Statement. Subgroup is an important algebraic structure in the field of Pure Mathematics. Study of different properties of sub
APA, Harvard, Vancouver, ISO, and other styles
17

Razaq, Abdul, Ghaliah Alhamzi, Asima Razzaque, and Harish Garg. "A Comprehensive Study on Pythagorean Fuzzy Normal Subgroups and Pythagorean Fuzzy Isomorphisms." Symmetry 14, no. 10 (2022): 2084. http://dx.doi.org/10.3390/sym14102084.

Full text
Abstract:
The Pythagorean fuzzy set is an extension of the intuitionistic fuzzy set used to handle uncertain circumstances in various decisions making problems. Group theory is a mathematical technique for dealing with problems of symmetry. This study deals with Pythagorean fuzzy group theory. In this article, we characterize the notion of a Pythagorean fuzzy subgroup and examine various algebraic properties of this concept. An extensive study on Pythagorean fuzzy cosets of a Pythagorean fuzzy subgroup, Pythagorean fuzzy normal subgroups of a group and Pythagorean fuzzy normal subgroup of a Pythagorean
APA, Harvard, Vancouver, ISO, and other styles
18

Shaqaqha, Shadi. "Fuzzy Hom-Groups: A New Perspective on Algebraic Generalization." European Journal of Pure and Applied Mathematics 18, no. 2 (2025): 5915. https://doi.org/10.29020/nybg.ejpam.v18i2.5915.

Full text
Abstract:
Fuzzy algebraic structures extend classical algebra to model uncertainty, while Hom-groups introduce a twisting map α that modifies associativity and identity conditions. This paper unifies these concepts by introducing Fuzzy Hom-Groups, a generalization of fuzzy groups within the Hom-group framework. We define fuzzy Hom-subgroups and fuzzy Hom-normal subgroups, establishing their fundamental properties. A key result shows that each fuzzy Hom-subgroup induces an upper-level set forming a classical Hom-subgroup, bridging fuzzy group theory and Hom-algebra. We further analyze the structural rela
APA, Harvard, Vancouver, ISO, and other styles
19

BHUNIA, SUPRIYA, and GANESH GHORAI. "An Approach to Lagrange’s Theorem in Pythagorean Fuzzy Subgroups." Kragujevac Journal of Mathematics 48, no. 6 (2024): 893–906. http://dx.doi.org/10.46793/kgjmat2406.893b.

Full text
Abstract:
The Pythagorean fuzzy environment is a modern way of depicting uncertainty. The concept of Pythagorean fuzzy semi-level subgroups of any group is described in this paper. The Pythagorean fuzzy order of an element in a Pythagorean fuzzy subgroup is introduced and established various algebraic attributes. The relation between the Pythagorean fuzzy order of an element of a group and the order of that group is established. The Pythagorean fuzzy normalizer and Pythagorean fuzzy centralizer of Pythagorean fuzzy subgroups are discussed. Further, the concept of Pythagorean fuzzy quotient group and the
APA, Harvard, Vancouver, ISO, and other styles
20

Yang, Xiaopeng, Tahir Mahmood, and Ubaid ur Rehman. "Bipolar Complex Fuzzy Subgroups." Mathematics 10, no. 16 (2022): 2882. http://dx.doi.org/10.3390/math10162882.

Full text
Abstract:
In this study, firstly, we interpret the level set, support, kernel for bipolar complex fuzzy (BCF) set, bipolar complex characteristic function, and BCF point. Then, we interpret the BCF subgroup, BCF normal subgroup, BCF conjugate, normalizer for BCF subgroup, cosets, BCF abelian subgroup, and BCF factor group. Furthermore, we present the associated examples and theorems, and prove these associated theorems. After that, we interpret the image and pre-image of BCF subgroups under homomorphism and prove the related theorems.
APA, Harvard, Vancouver, ISO, and other styles
21

A., Panneerselvam, and Meenatchi R. "TEMPORAL INTERVAL VALUED BI FUZZY SUBGROUP OVER CERTAINNORMS." International Journal of Applied and Advanced Scientific Research 3, no. 1 (2018): 293–97. https://doi.org/10.5281/zenodo.1256858.

Full text
Abstract:
The notion of temporal bi fuzzy subgroups (TBFS) is introduced, and related properties are investigated. Characterizations of a temporalbi fuzzy subgroup (TBFG) are established, and how the images or inverse images of temproal bi fuzzy subgroups become temporal bi fuzzy subgroups is studied.
APA, Harvard, Vancouver, ISO, and other styles
22

Tarmizi, Mahfuz, and Saman Abdurrahman. "GRUP FAKTOR YANG DIBANGUN DARI SUBGRUP NORMAL FUZZY." JURNAL MATEMATIKA MURNI DAN TERAPAN EPSILON 13, no. 1 (2019): 1. http://dx.doi.org/10.20527/epsilon.v13i1.1240.

Full text
Abstract:
A Quotient group is a set which contains coset members and satisfies group definition. These cosets are formed by group and its normal subgroup. A set which contains fuzzy coset members is also called a quotient group. These fuzzy cosets are formed by a group and its fuzzy normal subgroup. The purpose of this research is to explain quotient groups induced by fuzzy normal subgroups and isomorphic between them. This research construct sets which contain fuzzy coset members, define an operation between fuzzy cosets and prove these sets under an operation between fuzzy coset satisfy group definiti
APA, Harvard, Vancouver, ISO, and other styles
23

Ullah, Aman, Muhammad Ibrahim, and Tareq Saeed. "Fuzzy cosets in AG-groups." AIMS Mathematics 7, no. 3 (2022): 3321–44. http://dx.doi.org/10.3934/math.2022185.

Full text
Abstract:
<abstract><p>In this paper, the notion of fuzzy AG-subgroups is further extended to introduce fuzzy cosets in AG-groups. It is worth mentioning that if $ A $ is any fuzzy AG-subgroup of $ G $, then $ \mu_{A}(xy) = \mu_{A}(yx) $ for all $ x, \, y\in G $, i.e. in AG-groups each fuzzy left coset is a fuzzy right coset and vice versa. Also, fuzzy coset in AG-groups could be empty contrary to fuzzy coset in group theory. However, the order of the nonempty fuzzy coset is the same as the index number $ [G:A] $. Moreover, the notions of fuzzy quotient AG-subgroup, fuzzy AG-subgroup of the
APA, Harvard, Vancouver, ISO, and other styles
24

Balasubramanian, Kr, та R. Revathy. "(λ,μ)-Multi Anti Fuzzy subgroup of a group". International Journal of Students' Research in Technology & Management 10, № 3 (2022): 25–33. http://dx.doi.org/10.18510/ijsrtm.2022.1035.

Full text
Abstract:
Purpose of the study: To develop (λ, μ) - anti fuzzy subgroup of a group.
 Methodology: The fundamental idea of (λ, μ) - anti fuzzy subgroup to create a (λ, μ)- multi anti fuzzy subgroup.
 Main Findings: (λ, μ) – multi anti fuzzy cosets of a group.
 Applications of this study: The advancement of the theory of a group's multiple fuzzy subgroups.
 Novelty/Originality of this study: The concept of (λ, μ) - multi anti fuzzy cosets of a group has been defined, and various associated theorems have been demonstrated using examples.
APA, Harvard, Vancouver, ISO, and other styles
25

Balasubramanian, Kr, та R. Revathy. "(λ,μ)-Multi Anti Fuzzy subgroup of a group". International Journal of Students' Research in Technology & Management 10, № 3 (2022): 25–33. http://dx.doi.org/10.18510/ijsrtm.2022.1035.

Full text
Abstract:
Purpose of the study: To develop (λ, μ) - anti fuzzy subgroup of a group.
 Methodology: The fundamental idea of (λ, μ) - anti fuzzy subgroup to create a (λ, μ)- multi anti fuzzy subgroup.
 Main Findings: (λ, μ) – multi anti fuzzy cosets of a group.
 Applications of this study: The advancement of the theory of a group's multiple fuzzy subgroups.
 Novelty/Originality of this study: The concept of (λ, μ) - multi anti fuzzy cosets of a group has been defined, and various associated theorems have been demonstrated using examples.
APA, Harvard, Vancouver, ISO, and other styles
26

Imtiaz, Aneeza, Umer Shuaib, Hanan Alolaiyan, Abdul Razaq та Muhammad Gulistan. "On Structural Properties of ξ -Complex Fuzzy Sets and Their Applications". Complexity 2020 (2 грудня 2020): 1–13. http://dx.doi.org/10.1155/2020/2038724.

Full text
Abstract:
Complex fuzzy sets are the novel extension of Zadeh’s fuzzy sets. In this paper, we comprise the introduction to the concept of ξ -complex fuzzy sets and proofs of their various set theoretical properties. We define the notion of α , δ -cut sets of ξ -complex fuzzy sets and justify the representation of an ξ -complex fuzzy set as a union of nested intervals of these cut sets. We also apply this newly defined concept to a physical situation in which one may judge the performance of the participants in a given task. In addition, we innovate the phenomena of ξ -complex fuzzy subgroups and investi
APA, Harvard, Vancouver, ISO, and other styles
27

Rahmawati, Miftah Sigit, Muhammad Syahrul Kahar, Irman Amri, and Rendra Soekarta. "Level Subgroup Homomorphism in Fuzzy Subgroup." IOP Conference Series: Earth and Environmental Science 469 (April 24, 2020): 012120. http://dx.doi.org/10.1088/1755-1315/469/1/012120.

Full text
APA, Harvard, Vancouver, ISO, and other styles
28

Fu-Gui Shi. "$L$-Fuzzy Subgroup Degrees and $L$-Fuzzy Normal Subgroup Degrees." Journal of Advanced Research in Pure Mathematics 3, no. 4 (2011): 92–108. http://dx.doi.org/10.5373/jarpm.762.020211.

Full text
APA, Harvard, Vancouver, ISO, and other styles
29

Hira, Cendikia, Saman Abdurrahman, and Thresye Thresye. "SIFAT SUBGRUP NORMAL DARI ANTI SUBGRUP NORMAL FUZZY." EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN 17, no. 1 (2023): 101. http://dx.doi.org/10.20527/epsilon.v17i1.9135.

Full text
Abstract:
A fuzzy set is a concept theory that provide a solution of problem that cannot be explained by crisp set. Along with time, research of a fuzzy set are combined with algebra that produce fuzzy algebra. One of the research is a fuzzy subgroup and fuzzy level subset. The other research is an anti fuzzy subgroup that is inspired by a fuzzy subgroup. The purpose of this research is to write further study of anti fuzzy subgroup properties by induction of properties of fuzzy algebra such as fuzzy set, fuzzy subgroup, and anti fuzzy subgroup. The research procedure is to study the basic concept of fuz
APA, Harvard, Vancouver, ISO, and other styles
30

Al-Sharoa, Doaa. "(α1, 2, β1, 2)-complex intuitionistic fuzzy subgroups and its algebraic structure". AIMS Mathematics 8, № 4 (2023): 8082–116. http://dx.doi.org/10.3934/math.2023409.

Full text
Abstract:
<abstract> <p>A complex intuitionistic fuzzy set is a generalization framework to characterize several applications in decision making, pattern recognition, engineering, and other fields. This set is considered more fitting and coverable to Intuitionistic Fuzzy Sets (IDS) and complex fuzzy sets. In this paper, the abstraction of (${{\alpha _{1, 2}}, {\beta _{1, 2}}}$) complex intuitionistic fuzzy sets and (${{\alpha _{1, 2}}, {\beta _{1, 2}}}$)-complex intuitionistic fuzzy subgroups were introduced regarding to the concept of complex intuitionistic fuzzy sets. Besides, we show that
APA, Harvard, Vancouver, ISO, and other styles
31

Eman, Eman, Sara A. Khalil, Sana Abu Abu-Ghurra та Ghada Alafifi. "On the characterization of Harmonized fuzzy subgroups θ Open set". International Journal of Neutrosophic Science 26, № 1 (2025): 223–33. https://doi.org/10.54216/ijns.260119.

Full text
Abstract:
In this paper, we continue to discuss the concept of harmonized fuzzy subgroups. We present the harmonized fuzzy coset and harmonized fuzzy normal subgroup and their properties. We also study the effect of group homomorphism on harmonized fuzzy subgroups. Finally, we define and study the cartesian product of two harmonized fuzzy subgroups.
APA, Harvard, Vancouver, ISO, and other styles
32

Alharbi, Abeer Ali, and Dilshad Alghazzawi. "Some Characterizations of Certain Complex Fuzzy Subgroups." Symmetry 14, no. 9 (2022): 1812. http://dx.doi.org/10.3390/sym14091812.

Full text
Abstract:
The complex fuzzy environment is an innovative tool to handle ambiguous situations in different mathematical problems. In this article, we commence the abstraction of (ρ,η)-complex fuzzy sets, (ρ,η)-complex fuzzy subgroupoid, (ρ,η)-complex fuzzy subgroups and describe important examples of the symmetric group under (ρ,η)-complex fuzzy sets. Additionally, we discuss the conjugacy class of the group with respect to (ρ,η)-complex fuzzy normal subgroups. We define (ρ,η)-complex fuzzy cosets and elaborate upon the certain operation of this analog to group theoretic operation. We prove that factors
APA, Harvard, Vancouver, ISO, and other styles
33

John, Michael N., and Itoro U. Udoakpan. "Fuzzy Group Action on an R-Subgroup in a Near-Ring." International Journal of Mathematics and Statistics Studies 11, no. 4 (2023): 27–31. http://dx.doi.org/10.37745/ijmss.13/vol11n42731.

Full text
Abstract:
The study investigates the role of group actions on fuzzy R-subgroups within the context of near-rings. Utilizing the notion of fuzzy sets, this research explores the interaction between groups and certain subsets of near-rings, known as R-subgroups. Through the lens of group actions, a deeper understanding of the structural properties and dynamics of fuzzy R-subgroups emerges. Here, we explore group action on a right (respectively left) R subgroup and same type of fuzzy right (respectively left) R-subgroup of a near-ring R, the findings will contribute to the broader field of algebraic struct
APA, Harvard, Vancouver, ISO, and other styles
34

Selvarathi, M. "Product of Implication-Based Intuitionistic Fuzzy Semiautomatons over Finite Groups." New Mathematics and Natural Computation 15, no. 03 (2019): 503–15. http://dx.doi.org/10.1142/s1793005719500297.

Full text
Abstract:
In this paper, Implication-based intuitionistic fuzzy semiautomaton (IB-IFSA) of a finite group is defined and investigated. The theory of an implication-based intuitionistic fuzzy kernel and implication-based intuitionistic fuzzy subsemiautomaton of an IB-IFSA over a finite group are formulated using the approach of implication-based intuitionistic fuzzy subgroup and implication-based intuitionistic fuzzy normal subgroup. The product of implication-based intuitionistic fuzzy subgroups is postulated and investigated. Further, direct product of implication-based intuitionistic fuzzy semiautomat
APA, Harvard, Vancouver, ISO, and other styles
35

O.Onasanya, B., and S. A. Ilori. "On Fuzzy Subgroup and Fuzzy Cosets." International Journal of Computer Applications 81, no. 14 (2013): 20–22. http://dx.doi.org/10.5120/14184-2353.

Full text
APA, Harvard, Vancouver, ISO, and other styles
36

Seselja, Branimir, Andreja Tepavcevic, and Mirna Udovicic. "Fuzzy posets with fuzzy order applied to fuzzy ordered groups." Filomat 28, no. 9 (2014): 1835–48. http://dx.doi.org/10.2298/fil1409835s.

Full text
Abstract:
In the framework of lattice valued structures we investigate fuzzy sub-posets of a given poset, in which the underlying set ornand the order are fuzzy and the reflexivity is specially defined. We introduce and investigate particular fuzzy sub-posets, e.g, fuzzy up-sets and down-sets, fuzzy convex sub-posets, fuzzy intervals etc. We describe the structure of the lattice of all fuzzy orders contained in a given crisp ordering. Then we apply these in defining a fuzzy ordered subgroup of an ordered group. Main features of fuzzy ordered subgroups are introduced and investigated like fuzzy positive
APA, Harvard, Vancouver, ISO, and other styles
37

Qgiugo, Mike, and Amit Sehgal. "The Number of Chains of Subgroups for Certain Finite Alternating Groups." Annals of Pure and Applied Mathematics 22, no. 01 (2020): 65–70. http://dx.doi.org/10.22457/apam.v22n1a09684.

Full text
Abstract:
In this paper, we determined the number of chains of subgroups in the subgroup lattice of certain finite alternating groups using the computational technique. It is also showed that a fuzzy subgroup is simply a chain of subgroups in the lattice of subgroups.
APA, Harvard, Vancouver, ISO, and other styles
38

Anitha, B. "κ-ANTI-FUZZY SUBGROUP". Advances in Mathematics: Scientific Journal 9, № 4 (2020): 1503–9. http://dx.doi.org/10.37418/amsj.9.4.4.

Full text
APA, Harvard, Vancouver, ISO, and other styles
39

Gayen, Sudipta, Sripati Jha, Manoranjan Singh, and Ashish Prasad. "On anti-fuzzy subgroup." Yugoslav Journal of Operations Research, no. 00 (2020): 43. http://dx.doi.org/10.2298/yjor200717043g.

Full text
Abstract:
In this paper, efforts have been taken to generalise the notion of anti-fuzzy subgroup. Proposed definition was supported by graphical comparison with our previous result and suitably constructed examples. Based on the introduced definition, we derive not only some results of anti-fuzzy subgroup but also we redefine lower level set and lower level subgroup, and derive some essential theorems to study some algebraic characteristics. Further, a modified notion of lower level subgroup is given.
APA, Harvard, Vancouver, ISO, and other styles
40

Sidky, F. I. "Three-valued fuzzy subgroup." Fuzzy Sets and Systems 87, no. 3 (1997): 369–72. http://dx.doi.org/10.1016/s0165-0114(96)00033-4.

Full text
APA, Harvard, Vancouver, ISO, and other styles
41

Dib, K. A., and A. A. M. Hassan. "The fuzzy normal subgroup." Fuzzy Sets and Systems 98, no. 3 (1998): 393–402. http://dx.doi.org/10.1016/s0165-0114(96)00338-7.

Full text
APA, Harvard, Vancouver, ISO, and other styles
42

Azab Abd-Allah, M., Kamal El-Saady, and A. Ghareeb. "Rough intuitionistic fuzzy subgroup." Chaos, Solitons & Fractals 42, no. 4 (2009): 2145–53. http://dx.doi.org/10.1016/j.chaos.2009.03.199.

Full text
APA, Harvard, Vancouver, ISO, and other styles
43

Eroǧlu, Mehmet Sait. "The homomorphic image of a fuzzy subgroup is always a fuzzy subgroup." Fuzzy Sets and Systems 33, no. 2 (1989): 255–56. http://dx.doi.org/10.1016/0165-0114(89)90246-7.

Full text
APA, Harvard, Vancouver, ISO, and other styles
44

Abuhijleh, Eman A., Mourad Massa’deh, Amani Sheimat, and Abdulazeez Alkouri. "Complex Fuzzy Groups Based on Rosenfeld’s Approach." WSEAS TRANSACTIONS ON MATHEMATICS 20 (August 4, 2021): 368–77. http://dx.doi.org/10.37394/23206.2021.20.38.

Full text
Abstract:
Complex fuzzy sets (CFS) generalize traditional fuzzy sets (FS) since the membership functions of CFS reduces to the membership functions of FS. FS values are always at [0, 1], unlike CFS which has values in the unit disk of C. This paper merges notion and concept in group theory and presents the notion of a complex fuzzy subgroup of a group. This proposed idea represents a more general and better optional mathematical tool as one of the approaches in the fuzzy group. However, this research defines the notion of complex fuzzy subgroupiod, complex fuzzy normal subgroup, and complex fuzzy left(r
APA, Harvard, Vancouver, ISO, and other styles
45

Kadhm, Amani E., Shuker Khalil, Enoch Suleiman, and Tai Nguyen. "The construction of fuzzy subgroups of groups with units modulo 20 and 21." Journal of Discrete Mathematical Sciences and Cryptography 27, no. 5 (2024): 1619–25. http://dx.doi.org/10.47974/jdmsc-2004.

Full text
Abstract:
The number of fuzzy subgroups (NFSGs) of the groups of units U20 and U21 are determining in this study. The (NFSGs) of U20 was found based on diagram and using the lemma which state that the (NFSGs) of G is equal to the number of chains (NC) on the subgroups lattice of G. Moreover, we explain that there are only two fuzzy subgroups for a prime order group. Lagrange’s theorem is more important in this work, from Lagrange’s theorem, there is no nontrivial subgroup of U21 since the order of the group is prime. We prove that, if P1 (μ) = U21, then we get μ1(x) = θ1, ∀x ∈ U21. Thus we have one fuzz
APA, Harvard, Vancouver, ISO, and other styles
46

DIVYA MARY DAISE, S., S. DEEPTHI MARY TRESA, and SHERY FERNANDEZ. "Intuitionistic Level Subgroups in the Dihedral Group D3." Creative Mathematics and Informatics 31, no. 2 (2022): 185–94. http://dx.doi.org/10.37193/cmi.2022.02.04.

Full text
Abstract:
A well known result in fuzzy group theory states that “level subgroups of any fuzzy subgroup of a finite group form a chain”. We check the validity of this statement in the intuitionistic fuzzy perspective. We do this using Dihedral Group $D_3$, which is a non-cyclic group. We prove that $D_3$ has 100 distinct intuitionistic fuzzy subgroups (IFSGs) upto isomorphism. The intuitionistic level subgroups (ILSGs) of exactly 76 among them make chains, and hence it can be concluded that the result is not true in the intuitionistic fuzzy perspective. We also enlist all the 100 distinct intuitionistic
APA, Harvard, Vancouver, ISO, and other styles
47

Haso, Kardo Sleman, and Alias Barakat Khalaf. "On Cubic Fuzzy Groups and Cubic Fuzzy Normal Subgroups." Science Journal of University of Zakho 10, no. 3 (2022): 105–11. http://dx.doi.org/10.25271/sjuoz.2022.10.3.907.

Full text
Abstract:
In this paper, the notions of cubic fuzzy groups and cubic fuzzy normal subgroups are introduced. The internal, external of cubic sets, (P-,R-) order, (P-,R-) intersection and (P-,R-) union of cubic fuzzy groups are investigated and some related properties were obtained. It is proved that a cubic fuzzy group which is both (internal, external) cubic set. Also we provide condition on cubic fuzzy group to be an internal cubic set. We show that (P-,R-) intersection and (P-,R-) union of cubic fuzzy groups are also cubic fuzzy groups. Also the (P-,R-) intersection, (P-,R-) union of cubic fuzzy norma
APA, Harvard, Vancouver, ISO, and other styles
48

Kumar, Dhiraj, and Manoranjan Kumar Singh. "ON THE NUMBER OF FUZZY SUBGROUPS AND FUZZY NORMAL SUBGROUPS OF S2, S3 AND A4." South East Asian J. of Mathematics and Mathematical Sciences 19, no. 01 (2023): 277–86. http://dx.doi.org/10.56827/seajmms.2023.1901.23.

Full text
Abstract:
Counting fuzzy subgroups of a finite group is a fundamental problem of fuzzy group theory. Many researchers have made significant contributions to the rapid growth of this topic in recent years. The number of fuzzy subgroups of any group is infinite without the aid of equivalence relation. Some authors have used the equivalence relation of fuzzy sets to study the equivalence of fuzzy subgroups ([5], [6], [16]). The problem of counting the number of distinct fuzzy subgroups of a finite group is relative to the choice of the equivalence relation. The number of fuzzy subgroups of a particular gro
APA, Harvard, Vancouver, ISO, and other styles
49

Almutairi, Bander, Arshad Ali, Qin Xin, and Adnan Khan. "A Novel Concept of Complex Anti-Fuzzy Isomorphism over Groups." Symmetry 15, no. 9 (2023): 1693. http://dx.doi.org/10.3390/sym15091693.

Full text
Abstract:
In this research article, the fundamental properties of complex anti-fuzzy subgroups as well as the influence of group homomorphisms on their characteristics are investigated. Both the necessary and sufficient conditions for a complex anti-fuzzy subgroup are defined; additionally, the image, inverse image and some vital primary features of complex anti-fuzzy subgroups are examined. Moreover, the homomorphic and isomorphic relations of complex anti-fuzzy subgroups under group homomorphism are discussed, and numerical examples for various scenarios to describe complex anti-fuzzy symmetric groups
APA, Harvard, Vancouver, ISO, and other styles
50

VARGHESE, MANJU, and SHERY FERNANDEZ. "Manju Varghese and Shery Fernandez." Creative Mathematics and Informatics 33, no. 1 (2024): 119–28. http://dx.doi.org/10.37193/cmi.2024.01.11.

Full text
Abstract:
P. S. Das [Sivaramakrishna Das, P. Fuzzy groups and level subgroups. {\it J. Math. Anal. Appl.} {\bf 84} (1981), no. 1, 264--269.] proved that the level subgroups of any fuzzy subgroup of a finite group form a chain. In this paper we extend it to modules and showed that the level submodules of a fuzzy module also form a chain. With the help of these results we introduced fuzzy noetherian module for noetherian modules. Some results are proved for level submodules of any fuzzy module of modules with composition series.
APA, Harvard, Vancouver, ISO, and other styles
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography