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Journal articles on the topic 'Fuzzy Soft Ring'

Author: Grafiati

Published: 3 June 2025

Last updated: 19 July 2025

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1

Deepa, V. "Dual Hesitant Fuzzy Soft Rings." International Journal of Fuzzy System Applications 7, no. 3 (2018): 1–16. http://dx.doi.org/10.4018/ijfsa.2018070101.

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In this article, the concept of dual hesitant fuzzy soft sets is applied to the subring and ideal structures of the classical rings. Further, based on level soft sets of the dual hesitant fuzzy soft set, a characterization theorem for the dual hesitant fuzzy soft ring is established. Moreover, a counter-example is provided for a dual hesitant fuzzy soft ring which is not an idealistic dual hesitant fuzzy soft ring. Finally, the homomorphic and bi-soft homomorphic properties of a dual hesitant fuzzy soft ring are discussed.

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2

V., Ramdass, and Ananthan E. "NEW DIMENSIONS OF SOFT STRUCTURES OVER FUZZY SOFT LATTICE." International Journal of Applied and Advanced Scientific Research 2, no. 2 (2017): 141–48. https://doi.org/10.5281/zenodo.888264.

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In this paper, we introduce a new kind of soft ring called Lattice fuzzy soft intersection action on a ring. We then focused on the concepts of Lattice fuzzy soft pre image, union and intersection of a soft set. Also, we derive its various related properties. We then study and discuss its structural characteristics.

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3

Thamir, Riyam, Walaa Hasan Ashour, Mohammed Jassim Tuamah, and Hasan Ali Naser. "Intuitionistic Fuzzy Soft HX Ideals." Journal of Education for Pure Science- University of Thi-Qar 11, no. 1 (2021): 77–87. http://dx.doi.org/10.32792/jeps.v11i1.93.

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In this paper we defined the concept of intuitionistic fuzzy soft HX ideal of HX ring and prove some results about them, after that we study some types of intuitionistic fuzzy soft HX ideal of HX ring and prove some results about them. Also, we study the image and pre image of intuitionistic fuzzy soft HX ideal of HX ring and prove some results about them.

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4

Zhang, Haidong, Lianglin Xiong, and Weiyuan Ma. "On Interval-Valued Hesitant Fuzzy Soft Sets." Mathematical Problems in Engineering 2015 (2015): 1–17. http://dx.doi.org/10.1155/2015/254764.

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By combining the interval-valued hesitant fuzzy set and soft set models, the purpose of this paper is to introduce the concept of interval-valued hesitant fuzzy soft sets. Further, some operations on the interval-valued hesitant fuzzy soft sets are investigated, such as complement, “AND,” “OR,” ring sum, and ring product operations. Then, by means of reduct interval-valued fuzzy soft sets and level hesitant fuzzy soft sets, we present an adjustable approach to interval-valued hesitant fuzzy soft sets based on decision making and some numerical examples are provided to illustrate the developed

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5

Krishna Rao, M. Murali, та B. Venkateswarlu. "TRIPOLAR FUZZY SOFT IDEALS AND TRIPOLAR FUZZY SOFT INTERIOR IDEALS OVER Γ−SEMIRING". Facta Universitatis, Series: Mathematics and Informatics 35, № 1 (2020): 029. http://dx.doi.org/10.22190/fumi2001029k.

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In this paper, we have introduced the notion of tripolar fuzzy soft $\Gamma -$subsemi-ring,tripolar fuzzy soft ideal, tripolar fuzzy soft interior ideals over $\Gamma -$semiring and also studiedsome of their algebraic properties and the relations between them.

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6

N. Anitha and M. Latha. "On $\mathbb{S}$ fuzzy soft sub hemi rings of a hemi ring." Malaya Journal of Matematik 5, no. 03 (2017): 556–60. http://dx.doi.org/10.26637/mjm503/010.

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7

S., V. Manemaran, Nagarajan R., and Abdullah Saleem. "FUZZY VERSION OF SOFT UNION ACTION (SU-ACTION) ON NEAR-RING MODULE (N-MODULE) STRUCTURES." International Journal of Applied and Advanced Scientific Research 1, no. 1 (2016): 39–46. https://doi.org/10.5281/zenodo.159012.

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In this paper, we define a new concept, called soft union action (SU) on N- module structures on a fuzzy soft set. This new notions gathers fuzzy theory, soft set theory and near-ring modulo theory ( N-module theory ) together and it shows how a fuzzy soft set effects on N-module structure in the mean of union and inclusion of sets. We then obtain its basic properties with illustrative examples and derive some analog of classical N-module theoretic concepts for SU-action on N-module. Finally, we give the application of SU-actions on N-module theory.

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8

Kolanchinathan, S. "S-Norm Normal Fuzzy Soft Additive Near-Ring." International Journal for Research in Applied Science and Engineering Technology 7, no. 1 (2019): 719–21. http://dx.doi.org/10.22214/ijraset.2019.1111.

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9

Kadari, Ramalingaiah, and B. Surender Reddy. "Cubic Structure on Soft Gamma-m-Normed Linear Space." Indian Journal Of Science And Technology 17, no. 28 (2024): 2933–44. http://dx.doi.org/10.17485/ijst/v17i28.1713.

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Objectives: The purpose of this research is to take the lead in comprehending the fuzzy idea of cubic structure on soft Gamma-m normed linear space. According to the theory of Soft m-Normed Linear Space (SMNLS), we offer the conviction of Cauchy's sequence and convergence in cubic Soft Gamma-m Normed Linear Space (CSGMNLS). We have obtained certain results like the concept of completeness in CSGMNLS. Methods: In this paper we defined the soft gamma ring, soft gamma ideals and soft gamma vector space which are used to introduce the notion of soft gamma-2-normed linear space, Soft Gamma-m-Normed

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10

Ramalingaiah, Kadari, and Surender Reddy B. "Cubic Structure on Soft Gamma-m-Normed Linear Space." Indian Journal of Science and Technology 17, no. 28 (2024): 2933–44. https://doi.org/10.17485/IJST/v17i28.1713.

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Abstract <strong>Objectives:</strong> The purpose of this research is to take the lead in comprehending the fuzzy idea of cubic structure on soft Gamma-m normed linear space. According to the theory of Soft m-Normed Linear Space (SMNLS), we offer the conviction of Cauchy's sequence and convergence in cubic Soft Gamma-m Normed Linear Space (CSGMNLS). We have obtained certain results like the concept of completeness in CSGMNLS.<strong> Methods:</strong> In this paper we defined the soft gamma ring, soft gamma ideals and soft gamma vector space which are used to introduce the notio

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11

Geethalakshmi Manickam. "Development and Analysis of New Intuitionistic Q-Fuzzy Soft Rings and Ideals Using Triangular Norms." Advances in Nonlinear Variational Inequalities 28, no. 6s (2025): 869–91. https://doi.org/10.52783/anvi.v28.4432.

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Q-fuzzy rings extend the concept of fuzzy rings, originally introduced by W. Liu. In Q-fuzzy rings, the membership values of elements are not confined to the interval [0, 1] but can span any value within the real interval [0, ∞]. This paper explores the fundamental ideas of fuzzy rings, Q-fuzzy subrings, Q-fuzzy soft subrings and an intuitionistic Q-fuzzy soft subrings offering a comprehensive examination of their properties and interrelationships. Generally, imprecise or ambiguous data is prevalent across many social and fundamental disciplines. Such uncertainty can stem from various factors,

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12

Porselvi, Kasi, Ghulam Muhiuddin, Balasubramanian Elavarasan, and Abdullah Assiry. "Hybrid Nil Radical of a Ring." Symmetry 14, no. 7 (2022): 1367. http://dx.doi.org/10.3390/sym14071367.

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The nature of universe problems is ambiguous due to the presence of asymmetric data in almost all disciplines, including engineering, mathematics, medical sciences, physics, computer science, operations research, artificial intelligence, and management sciences, and they involve various types of uncertainties when dealing with them on various occasions. To deal with the challenges of uncertainty and asymmetric information, different theories have been developed, including probability, fuzzy sets, rough sets, soft ideals, etc. The strategies of hybrid ideals, hybrid nil radicals, hybrid semipri

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13

Elavarasan, B., G. Muhiuddin, K. Porselvi, and Y. B. Jun. "Hybrid structures applied to ideals in near-rings." Complex & Intelligent Systems 7, no. 3 (2021): 1489–98. http://dx.doi.org/10.1007/s40747-021-00271-7.

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AbstractHuman endeavours span a wide spectrum of activities which includes solving fascinating problems in the realms of engineering, arts, sciences, medical sciences, social sciences, economics and environment. To solve these problems, classical mathematics methods are insufficient. The real-world problems involve many uncertainties making them difficult to solve by classical means. The researchers world over have established new mathematical theories such as fuzzy set theory and rough set theory in order to model the uncertainties that appear in various fields mentioned above. In the recent

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14

tha, V. Vani, G. Sub biah, and M. Navaneetha krishnan. "Level Set of Measurable Conjugate Flexible Fuzzy Soft Bi-Ideals Over Near-Ring Structures." International Journal of Mathematics Trends and Technology 62, no. 2 (2018): 75–80. http://dx.doi.org/10.14445/22315373/ijmtt-v62p511.

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15

Majumdar, Abhijit, and Anindya Ghosh. "Yarn Strength Modelling Using Fuzzy Expert System." Journal of Engineered Fibers and Fabrics 3, no. 4 (2008): 155892500800300. http://dx.doi.org/10.1177/155892500800300408.

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Yarn strength modelling and prediction has remained as the cynosure of research for the textile engineers although the investigation in this domain was first reported around one century ago. Several mathematical, statistical and empirical models have been developed in the past only to yield limited success in terms of prediction accuracy and general applicability. In recent years, soft computing tools like artificial neural networks and neural-fuzzy models have been developed, which have shown remarkable prediction accuracy. However, artificial neural network and neural-fuzzy models are traine

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16

Ghanmi, Hanen, Adel Ghith, and Tarek Benameur. "Ring yarn quality prediction using hybrid artificial neural network." International Journal of Clothing Science and Technology 27, no. 6 (2015): 940–56. http://dx.doi.org/10.1108/ijcst-01-2015-0015.

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Purpose – The purpose of this paper is to predict a global quality index of a ring spun yarn whose count Ne is ranging between 7.8 (76.92 tex) and 22.2 (27 tex). To fulfill this goal, a hybrid model based on artificial neural network (ANN) and fuzzy logic has been established. Fiber properties, yarn count and twist level are used as inputs to train the hybrid model and the output would be a quality index which includes the major physical properties of ring spun yarn. Design/methodology/approach – The hybrid model has been developed by means of the application of two soft computing approaches.

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17

İnan, Ebubekir, and Mehmet Ali Öztürk. "Fuzzy soft rings and fuzzy soft ideals." Neural Computing and Applications 21, S1 (2011): 1–8. http://dx.doi.org/10.1007/s00521-011-0550-5.

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18

Öztürk, Mehmet Ali̇, and Ebubeki̇r İnan. "Fuzzy soft subnear-rings and (∈,∈∨q)-fuzzy soft subnear-rings." Computers & Mathematics with Applications 63, no. 3 (2012): 617–28. http://dx.doi.org/10.1016/j.camwa.2011.11.008.

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19

Sambasiva Rao, Gadde, D. Ramesh, Aiyared Iampan, and B. Satyanarayana. "Fuzzy Soft Boolean Rings." International Journal of Analysis and Applications 21 (July 3, 2023): 60. http://dx.doi.org/10.28924/2291-8639-21-2023-60.

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This article introduces the idea of (fuzzy soft Boolean rings) FSBRs and investigates their algebraic properties. The concepts of fuzzy soft ideals (FSIs) of FSBRs, and idealistic fuzzy soft Boolean rings (IFSBRs) are then defined and discussed.

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20

Ersoy, B. A., S. Onar, K. Hila, and B. Davvaz. "Some Properties of Intuitionistic Fuzzy Soft Rings." Journal of Mathematics 2013 (2013): 1–8. http://dx.doi.org/10.1155/2013/650480.

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Maji et al. introduced the concept of intuitionistic fuzzy soft sets, which is an extension of soft sets and intuitionistic fuzzy sets. In this paper, we apply the concept of intuitionistic fuzzy soft sets to rings. The concept of intuitionistic fuzzy soft rings is introduced and some basic properties of intuitionistic fuzzy soft rings are given. Intersection, union, AND, and OR operations of intuitionistic fuzzy soft rings are defined. Then, the deffinitions of intuitionistic fuzzy soft ideals are proposed and some related results are considered.

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21

İnan, Ebubekir, and Mehmet Ali Öztürk. "Erratum to: Fuzzy soft rings and fuzzy soft ideals." Neural Computing and Applications 22, no. 5 (2013): 1037. http://dx.doi.org/10.1007/s00521-013-1363-5.

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22

Rao, Gadde Sambasiva, D. Ramesh, Aiyared Iampan, B. Satyanarayana, and P. Rajani. "Intuitionistic Fuzzy Soft Boolean Rings." International Journal of Analysis and Applications 23 (February 14, 2025): 43. https://doi.org/10.28924/2291-8639-23-2025-43.

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Maji et al. [10] presented the idea of intuitionistic fuzzy soft sets (IFSSs), which build on intuitionistic fuzzy sets (IFSs) and soft sets. In this paper, we extend the notion of IFSs to Boolean rings (BRs). We briefly overview intuitionistic fuzzy soft Boolean rings (IFSBRs) and list some of their fundamental characteristics. We define the intersection, union, AND, and OR operations of IFSBRs. We then present the definitions of IFSIs and consider a few associated findings.

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23

李, 文婷. "T-Fuzzy Soft Ideals of Soft Rings." Pure Mathematics 03, no. 05 (2013): 321–25. http://dx.doi.org/10.12677/pm.2013.35050.

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24

Selvachandran, Ganeshsree. "Fuzzy soft rings based on fuzzy spaces." International Journal of Mathematical Analysis 8 (2014): 2781–87. http://dx.doi.org/10.12988/ijma.2014.410315.

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25

Manikantan, T., and P. Ramasamy. "Fuzzy soft quasi-ideals of fuzzy soft near-rings and their generalizations." Malaya Journal of Matematik S, no. 1 (2020): 632–38. http://dx.doi.org/10.26637/mjm0s20/0121.

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26

Liu, Xianping, Dajing Xiang, and Jianming Zhan. "Fuzzy isomorphism theorems of soft rings." Neural Computing and Applications 21, no. 2 (2010): 391–97. http://dx.doi.org/10.1007/s00521-010-0439-8.

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27

AKIN, Canan, and Ertuğrul AKÇAY. "RP-T-Fuzzy Soft Subrings and Ideals of Soft Rings." Cumhuriyet Science Journal 41, no. 4 (2020): 832–44. http://dx.doi.org/10.17776/csj.623545.

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28

Manikantan, T., and Manikantan T. "$(in, invee q_{k})$-fuzzy soft near-rings and $(in, invee q_{k})$-fuzzy soft ideals over near-rings." Malaya Journal of Matematik S, no. 1 (2019): 250–56. http://dx.doi.org/10.26637/mjm0s01/0047.

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29

Ramkumar, S., and T. Manikantan. "Extensions of fuzzy soft ideals over near-rings." Malaya Journal of Matematik S, no. 1 (2020): 626–31. http://dx.doi.org/10.26637/mjm0s20/0120.

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30

Rao, Gadde Sambasiva, D. Ramesh, Aiyared Iampan, G. Vijaya Lakshmi, and B. Satyanarayana. "\((\in, \in \vee q_{k})\)-Intuitionistic Fuzzy Soft Boolean Near-Rings." International Journal of Analysis and Applications 23 (April 14, 2025): 91. https://doi.org/10.28924/2291-8639-23-2025-91.

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This study proposes an enriched algebraic framework through the introduction of (∈, ∈ ∨qk)-intuitionistic fuzzy soft Boolean near-rings (IFSBNs), a class of mathematical structures that generalize previous fuzzy and soft ideal systems within Boolean near-rings. Building upon established theories, we define the corresponding (∈, ∈ ∨qk)- intuitionistic fuzzy soft ideals (IFSIs) and idealistic forms (IIFSBNs), and rigorously analyze their properties using formal definitions and examples. By expanding the capacity to model uncertainty and complex relationships, this work contributes to the theoret

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31

P, Jayaramam, and M. Kalyana sundram. "Constructions on Anti Q-Fuzzy Soft Gamma Ideals of Rings." International Journal of Mathematics Trends and Technology 66, no. 1 (2020): 240–47. http://dx.doi.org/10.14445/22315373/ijmtt-v66i1p532.

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32

Zhu, Kuan Yun. "Novel soft fuzzy rough rings (ideals) of rings and their application in decision making." Soft Computing 23, no. 9 (2017): 3167–89. http://dx.doi.org/10.1007/s00500-017-2967-y.

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33

Ramkumar, S., and T. Manikantan. "Cartesian product of the extensions of fuzzy soft ideals over near-rings." International Journal of Dynamical Systems and Differential Equations 11, no. 5/6 (2021): 426. http://dx.doi.org/10.1504/ijdsde.2021.10043524.

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34

Manikantan, T., and S. Ramkumar. "Cartesian product of the extensions of fuzzy soft ideals over near-rings." International Journal of Dynamical Systems and Differential Equations 11, no. 5/6 (2021): 426. http://dx.doi.org/10.1504/ijdsde.2021.120041.

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35

Al-Mesafer, Mohammed. "Fuzz Neutrosophic Soft HX Subring." University of Thi-Qar Journal, September 6, 2019. http://dx.doi.org/10.32792/thi/vol12/is1/ar1.

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In this paper, we define the notion of fuzzy nutrosophic soft HX subring of a HX ring and some of their related properties investigated. We define the intersection, cartesian product of an fuzzy neutrosophic soft subset of an fuzzy nutrosophic soft HX ring and we show some results

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36

J.Al-Mesafer, Mohammed. "Fuzz Neutrosophic Soft HX Subring." University of Thi-Qar Journal, September 5, 2019. http://dx.doi.org/10.32792/thi1.

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In this paper, we define the notion of fuzzy nutrosophic soft HX subring of a HX ring and some of their related properties investigated. We define the intersection, cartesian product of an fuzzy neutrosophic soft subset of an fuzzy nutrosophic soft HX ring and we show some results

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37

"A Research on Functional Judgement of Soft Union Ring." International Journal of Recent Technology and Engineering 8, no. 2 (2019): 5226–29. http://dx.doi.org/10.35940/ijrte.b1050.078219.

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The clarification behind the paper is to set up a structure for giving a delicate logarithmic gadget in considering different issues that contain vulnerabilities. So as to give these touchy real structures, the likelihood of ( , )- dubious affiliation rings which is a hypothesis of that of precarious alliance rings is proposed. In this paper, delicate affiliation ring (SU-ring) on a dubious set is depicted by utilizing alliance activity of sets. This new idea demonstrates how a delicate set repercussions for a ring structure in the mean of affiliation and breaker of sets and from this chart, i

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38

Nabil Katie, Ayat, and Dr Mohammed Jasim Mohammed2. "Hesitant Fuzzy Soft HX Prime Ideal of HX Ring." Journal of Education for Pure Science- University of Thi-Qar 13, no. 3 (2023). http://dx.doi.org/10.32792/jeps.v13i3.335.

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In this paper , we study hesitant fuzzyisoft HX setiandisomeiof its propertiesi. Weiintroducetheinotions ofihesitant fuzzyisoft HX ideali, hesitantifuzzyi soft HX prime idealiof a HX ring andhesitantifuzzy soft HX strongly prime ideal with some results about the hesitantifuzzyisoft HX primeidealiof a HX ring

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39

Rahman, Atiqe Ur, Muhammad Saeed, Muhammad Arshad, Muhammad Ihsan, and Muhammad Rayees Ahmad. "(m, n)-Convexity-cum-Concavity on Fuzzy Soft Set with Applications in First and Second Sense." Punjab University Journal of Mathematics, January 8, 2021, 19–33. http://dx.doi.org/10.52280/pujm.2021.530102.

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Soft set theory is considered as one of the best effective tool which provides parameterization approach to tackle the inadequacy of fuzzy set. So far, it has been applied to different mathematical concepts such as set operations, algebraic structure (e.g., group and ring theory) and topological spaces. Many researchers have studied classical concept of convex and concave set under fuzzy-like, soft-like and fuzzy soft-like environments. In this paper, new notions of (m, n)-convex and (m, n)- concave fuzzy soft sets are developed first and then their versions for first and second senses are est

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40

Hamza sadon, Chofran, and Hadeel Ali shubber. "Intuitionistic Fuzzy –Soft HX Prime Ideal of HX Ring." Journal of Education for Pure Science- University of Thi-Qar 13, no. 3 (2023). http://dx.doi.org/10.32792/jeps.v13i3.348.

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41

Jebapresitha, B. "Hybrid structure of maximal ideals in near rings." Complex & Intelligent Systems, June 15, 2024. http://dx.doi.org/10.1007/s40747-024-01486-0.

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AbstractA hybrid structure is an arrangement that makes use of many hierarchical reporting structures and is applied to algebraic structures such as groups and rings. In the discipline of abstract algebra, an ideal of a near-ring is a unique subset of its elements in ring theory. Ideals generalize specific subsets of integers, such as even numbers or multiples of three. Researchers have been using mathematical theories of fuzzy sets in ring theory to explain the uncertainties that emerge in various domains such as art and science, engineering, medical science, and in environment. By fusing sof

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42

"Extensions of fuzzy soft sets and rings." Journal of Mathematical and Computational Science, 2021. http://dx.doi.org/10.28919/jmcs/5545.

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43

Maheswari, A. U., and C. Meera. "FUZZY SOFT PRIME IDEALS OVER RIGHT TERNARY NEAR-RINGS." International Journal of Pure and Apllied Mathematics 85, no. 3 (2013). http://dx.doi.org/10.12732/ijpam.v85i3.7.

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44

"$(\in, \in \vee q_k)$ - Fuzzy Soft Boolean Near Rings." Asia Pacific Journal of Mathematics, 2023. http://dx.doi.org/10.28924/apjm/10-50.

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45

Ramkumar, S., and T. Manikantan. "Generalization of $$(\in , \in \vee q_{k})$$-fuzzy soft near-rings and $$(\in , \in \vee q_{k})$$-fuzzy soft ideals over near-rings." Afrika Matematika, June 29, 2021. http://dx.doi.org/10.1007/s13370-021-00905-6.

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46

Ahmmad, Jabbar, Faten Labassi, Turki Alsuraiheed, Tahir Mahmood, and Meraj Ali Khan. "Classification of Feature Engineering Techniques for Machine Learning under the Environment of Lattice Ordered T-bipolar Fuzzy Soft Rings." IEEE Access, 2024, 1. http://dx.doi.org/10.1109/access.2024.3406388.

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