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Статті в журналах з теми "Fuzzy - structure space"

Автор: Grafiati

Опубліковано: 3 червня 2025

Оновлено: 31 липня 2025

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1

Wu, Xiu-Yun, Chun-Yan Liao, and Yan-Hui Zhao. "L-topological derived neighborhood relations and L-topological derived remotehood relations." Filomat 36, no. 5 (2022): 1433–50. http://dx.doi.org/10.2298/fil2205433w.

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Fuzzy relations and fuzzy derived operators are useful tools to characterize fuzzy mathematical structures such as fuzzy topology, fuzzy convexity, fuzzy matroid and fuzzy convergence structure. In this paper, notions of L-topological neighborhood relation space, L-topological derived neighborhood relation space and L-topological derived neighborhood space are introduced. It is proved that all of these spaces are categorically isomorphic to L-topological internal relation space and L-topological neighborhood space. Also, notions of L-topological remotehood relation space, L-topological derived

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2

Madhuri, V., Omar Bazighifan, Ali Hasan Ali, and A. El-Mesady. "On Fuzzy F ∗ -Simply Connected Spaces in Fuzzy F ∗ -Homotopy." Journal of Function Spaces 2022 (April 28, 2022): 1–6. http://dx.doi.org/10.1155/2022/9926963.

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In this paper, the notions of fuzzy F ∗ -simply connected spaces and fuzzy F ∗ -structure homeomorphisms are introduced, and further fuzzy F ∗ -structure homeomorphism between fuzzy F ∗ -path-connected spaces are studied. Also, it is shown that every fuzzy F ∗ -structure subspace of fuzzy F ∗ -simply connected space is fuzzy F ∗ -simply connected subspace. Further, the concepts of fuzzy F ∗ -contractible spaces and fuzzy F ∗ -retracts are introduced, and it is proved that every fuzzy F ∗ -contractible space is fuzzy F ∗ -simply connected.

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3

Pazar Varol, Banu Pazar, and Hami Malkoç. "Bipolar Fuzzy Supra Topology via (Q-) Neighborhood and Its Application in Data Mining Process." Symmetry 16, no. 2 (2024): 216. http://dx.doi.org/10.3390/sym16020216.

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The aim of this study is to provide neighborhood structures in bipolar fuzzy supra topological space and to show the applicability of bipolar fuzzy supra topology to the medical diagnosis problem. Firstly, we give some properties related to bipolar fuzzy points and their neighborhood structure in bipolar fuzzy supra topological spaces. Then, we consider another important structure, “quasi-coincident,” in the case of bipolar fuzzy points and bipolar fuzzy sets. Then, we introduce the corresponding neighborhood structure called “Q-neighborhood system” by using the quasi-coincident relations. Fur

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4

Zhang, Qinghua, and Guoyin Wang. "The Uncertainty Measure of Hierarchical Quotient Space Structure." Mathematical Problems in Engineering 2011 (2011): 1–16. http://dx.doi.org/10.1155/2011/513195.

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Анотація:

In the application of fuzzy reasoning, researchers usually choose the membership function optionally in some degree. Even though the membership functions may be different for the same concept, they can generally get the same (or approximate) results. The robustness of the membership function optionally chosen has brought many researchers' attention. At present, many researchers pay attention to the structural interpretation (definition) of a fuzzy concept, and find that a hierarchical quotient space structure may be a better tool than a fuzzy set for characterizing the essential of fuzzy conce

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5

Hashem, Khaled A., and Nehad N. Morsi. "FuzzyTL-uniform spaces." International Journal of Mathematics and Mathematical Sciences 2006 (2006): 1–24. http://dx.doi.org/10.1155/ijmms/2006/25094.

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Анотація:

The main purpose of this paper is to introduce a new structure that is a fuzzyTL-uniform space. We show that our structure generates a fuzzy topological space, precisely, a fuzzyT-locality space. Also, we deduce the concept of level uniformities of a fuzzyTL-uniformity. We connect the category of fuzzyTL-uniform spaces with the category of uniform spaces. We establish a necessary and sufficient condition, under which a fuzzyTL-uniformity is probabilistic pseudometrizable. Finally, we define a functor from the category of fuzzyTL-uniform spaces into the category of fuzzyT-locality spaces and we

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6

BALACHANDRAN, A. P., and S. KÜRKÇÜOǦLU. "TOPOLOGY CHANGE FOR FUZZY PHYSICS: FUZZY SPACES AS HOPF ALGEBRAS." International Journal of Modern Physics A 19, no. 20 (2004): 3395–407. http://dx.doi.org/10.1142/s0217751x04019810.

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Fuzzy spaces are obtained by quantizing adjoint orbits of compact semi-simple Lie groups. Fuzzy spheres emerge from quantizing S2and are associated with the group SU (2) in this manner. They are useful for regularizing quantum field theories and modeling space–times by noncommutative manifolds. We show that fuzzy spaces are Hopf algebras and in fact have more structure than the latter. They are thus candidates for quantum symmetries. Using their generalized Hopf algebraic structures, we can also model processes where one fuzzy space splits into several fuzzy spaces. For example we can discuss

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7

Vasuky, M., and A. Uma. "Convex Fuzzy Soft Metric Space." Shanlax International Journal of Arts, Science and Humanities 7, no. 3 (2020): 78–82. http://dx.doi.org/10.34293/sijash.v7i3.1434.

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In this paper, we investigate the concept of fuzzy soft metric space in terms of fuzzy soft points. The convex structure of fuzzy soft metric spaces is defined and we introduce the convex fuzzy soft metric space. Also we established the fixed point theorem of convex fuzzy soft metric space.

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8

Abd-Allah, Ahmed Saeed. "Characterized Fuzzy R2.5 and Characterized Fuzzy T3.5 Spaces." JOURNAL OF ADVANCES IN MATHEMATICS 13, no. 1 (2017): 7048–73. http://dx.doi.org/10.24297/jam.v13i1.5684.

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This paper, deals with, introduce and study the notions of haracterized fuzzy R2.5 spaces and of characterized fuzzy T3.5 spaces by using the notion of fuzzy function family presented in [21] and the notion of Ï†1,2Ïˆ1,2-fuzzy continuous mappings presented in [5] as a generalization of all the weaker and stronger forms of the fuzzy completely regular spaces introduced in [11,24,26,29]. We denote by characterized fuzzy T3.5 space or characterized fuzzy Tychonoff space to the characterized fuzzy space which is characterized fuzzy T1 and characterized fuzzy R2.5 space in this sense. The relations

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9

Ali, Mayada Nazar Mohammed, Raghad Ibrahim Sabri, and Fatema Ahmad Sadiq. "A new properties of fuzzy b-metric spaces." Indonesian Journal of Electrical Engineering and Computer Science 26, no. 1 (2022): 221–28. https://doi.org/10.11591/ijeecs.v26.i1.pp221-228.

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Metric spaces are specific types of topological spaces with pleasing “geometric” characteristics and they have a number of appealing properties and are commonly used in both pure and applied sciences. In this work, the structure of cartesian product space in the setting of a fuzzy b-metric space (Fb-M space) framework is introduced, which is an extension allows to create the large-scale structure for the space of the type fuzzy b-metric. The possibility of transferring some of the results and important features related to Fb-M space to this suggested space are discussed and demonst

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10

Anjaly Jose. "Semi-Invertible Fuzzy Topological Space." Advances in Nonlinear Variational Inequalities 27, no. 3 (2024): 462–71. http://dx.doi.org/10.52783/anvi.v27.1392.

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This paper fuzzifies the concept of semi-invertibility in a topological space, also it portrays the properties of such spaces. The structure of fuzzy semi inverting pairs is brought forward. Additionally, the correlation between semi-invertible and invertible fuzzy topological spaces is investigated. The transfer of fuzzy first category property from a local to a global context within a semi-invertible fuzzy topological space is explored.

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11

Mohammed Ali, Mayada N., Raghad I. Sabri, and Fatema Ahmad Sadiq. "A new properties of fuzzy b-metric spaces." Indonesian Journal of Electrical Engineering and Computer Science 26, no. 1 (2022): 221. http://dx.doi.org/10.11591/ijeecs.v26.i1.pp221-228.

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Анотація:

Metric <span lang="EN-US">spaces are specific types of topological spaces with pleasing “geometric” characteristics and they have a number of appealing properties and are commonly used in both pure and applied sciences. In this work, the structure of cartesian product space in the setting of a fuzzy b-metric space (Fb-M space) framework is introduced, which is an extension allows to create the large-scale structure for the space of the type fuzzy b-metric. The possibility of transferring some of the results and important features related to Fb-M space to this suggested space are discusse

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12

Kargın, Abdullah. "Intuitionistic Fuzzy Partial Metric Spaces." Adıyaman University Journal of Science 15, no. 1 (2025): 77–97. https://doi.org/10.37094/adyujsci.1635359.

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Fuzzy logic is a theory that is used as an alternative to classical structures in both application and algebraic fields. The fixed point theorem is a theorem widely used in mathematics, especially in metric spaces and partial metric spaces. The fixed point theorem is used on classical metric structures, but it is also widely used on fuzzy metric spaces, fuzzy partial metric spaces and intuitionistic fuzzy metric spaces. In this paper, intuitionistic fuzzy partial metric spaces are defined, their basic properties and examples are obtained. For it, open ball, convergent sequence, and Cauchy sequ

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13

PAPADOPOULOS, BASIL K., and APOSTOLOS SYROPOULOS. "FUZZY SETS AND FUZZY RELATIONAL STRUCTURES AS CHU SPACES." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 08, no. 04 (2000): 471–79. http://dx.doi.org/10.1142/s0218488500000319.

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Chu spaces, which derive from the Chu construct of *-autonomous categories, can be used to represent most mathematical structures. Moreover, the logic of Chu spaces is linear logic. Most efforts to incorporate fuzzy set theory into the realm of linear logic are based on the assumption that fuzzy and linear negation are identical operations. We propose an incorporation based on the opposite assumption and we provide an interpretation of some linear connectives. Furthermore, we show that it is possible to represent any fuzzy relational structure as a Chu space by means of the functor G.

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14

Zeidan Khalaf, Bushra. "On Structure Fuzzy Fibration." Wasit Journal for Pure sciences 3, no. 1 (2024): 33–37. http://dx.doi.org/10.31185/wjps.292.

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Анотація:

In this paper, we introduced concept of fuzzy homotopy lifting property, fuzzy fiber structure is introduced. Also, the definition of the fuzzy lifting function and some theorems in a fuzzy topological space are discussed.

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15

Erduran, Ferhan Sola, Ebru Yigit, Rabia Alar, and Ayten Gezici. "On soft fuzzy metric spaces and topological structure." Journal of Advanced Studies in Topology 9, no. 1 (2018): 61–70. http://dx.doi.org/10.20454/jast.2018.1408.

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Анотація:

In this paper we examine some topological properties of soft fuzzy metric space which introduced in [5].We dene the concepts such as countability, convergence, completeness in soft fuzzy metric spaces and alsowe establish some related theorems to this denitions.

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16

Ameen, Zanyar A., Tareq M. Al-shami, A. A. Azzam, and Abdelwaheb Mhemdi. "A Novel Fuzzy Structure: Infra-Fuzzy Topological Spaces." Journal of Function Spaces 2022 (April 7, 2022): 1–11. http://dx.doi.org/10.1155/2022/9778069.

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Obtaining a weaker condition that preserves some inspired topological properties is always desirable. As a result, we introduce the concept of infra-fuzzy topology, which is a subset family that degrades the concept of fuzzy topology by omitting the condition of closedness under arbitrary unions. Fundamental properties of infra-fuzzy topological spaces are investigated, including infra-fuzzy open and infra-fuzzy closed sets, infra-fuzzy interior and infra-fuzzy closure operators, and the infra-fuzzy boundary of a fuzzy set. It is not possible to expect the latter concepts to have properties id

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17

Raghad Ibrahim Sabre. "Some Properties Of Cartesian Product Of Two Fuzzy Normed Spaces." Journal of the College of Basic Education 21, no. 88 (2023): 109–16. http://dx.doi.org/10.35950/cbej.v21i88.9956.

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In this paper , the concept of the Cartesian Product of two fuzzy normed spaces is presented. Some basic properties and theorems on this concept are proved. The main goal of this paper is to prove that the Cartesian product of two complete fuzzy normed spaces is a complete fuzzy normed space. Key words:Fuzzy normed space , Cartesian product , Cauchy sequence , complete fuzzy normed space. 1- Introduction  The fuzzy set concepts was introduced in mathematics by K.Menger in 1942 and reintroduced in the system theory by L.A.Zadeh in 1965

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18

SHARMA, P. K., HEM LATA та NITIN BHARADWA. "On Intuitionistic Fuzzy Structure Space On Γ-Ring". Creative Mathematics and Informatics 31, № 2 (2022): 215–28. http://dx.doi.org/10.37193/cmi.2022.02.07.

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In this research article, we investigate and study the intuitionistic fuzzy structure space of a $\Gamma$-ring $M$ set up by the class of intuitionistic fuzzy prime ideals of $M$ called the intuitionistic fuzzy prime spectrum of $\Gamma$-ring. Apart from studying basic properties of this structure space, we explore separation axioms, compactness, irreducibility and connectedness in this structure space.

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19

Altanji, Mohamed, Annamalai Santhi, Vediyappan Govindan, Shyam Sundar Santra, and Samad Noeiaghdam. "Fixed-Point Results Related to b-Intuitionistic Fuzzy Metric Space." Journal of Function Spaces 2022 (May 12, 2022): 1–15. http://dx.doi.org/10.1155/2022/9561906.

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In this study, we contribute to the terminological debate about various fixed-point results’ use of the term intuitionistic fuzzy b-metric space in defining the structure based on fuzzy sets. As a predominant result, we give an adequate condition for a sequence to be Cauchy in the intuitionistic fuzzy b-metric space. Subsequently, we simplify the proofs of manifold fixed-point theorems in the intuitionistic fuzzy b-metric spaces under the prominent contraction conditions. Also, we give a satisfactory condition for a solution to Cauchy in the intuitionistic fuzzy b-metric spaces.

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20

Xu, Rui, DongXu Li, Jianping Jiang, and Jie Zou. "Decentralized adaptive fuzzy vibration control of smart gossamer space structure." Journal of Intelligent Material Systems and Structures 28, no. 12 (2017): 1670–81. http://dx.doi.org/10.1177/1045389x16679023.

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Gossamer space structures technology have gained widely applications in space missions. However, the vibration problem is a great challenge which makes the technology complicated. The overall motivation of this work is to develop a vibration control system for gossamer space structures. In this study, a space membrane structure with piezoelectric stack actuators bracketed on its support frame is considered. First, the description of the smart space membrane structure and its dynamic model are presented. Then, a decentralized adaptive fuzzy control method is developed to control the structure v

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21

Yılmaz, Yılmaz, Hacer Bozkurt, Halise Levent, and Ümit Çetinkaya. "Inner Product Fuzzy Quasilinear Spaces and Some Fuzzy Sequence Spaces." Journal of Mathematics 2022 (July 20, 2022): 1–15. http://dx.doi.org/10.1155/2022/2466817.

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It has been shown that the class of fuzzy sets has a quasilinear space structure. In addition, various norms are defined on this class, and it is given that the class of fuzzy sets is a normed quasilinear space with these norms. In this study, we first developed the algebraic structure of the class of fuzzy sets F ℝ n and gave definitions such as quasilinear independence, dimension, and the algebraic basis in these spaces. Then, with special norms, namely, u q = ∫ 0 1 sup x ∈ u α x q d α 1 / q where 1 ≤ q ≤ ∞ , we stated that F ℝ n , u q is a complete normed space. Furthermore, we introduced a

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22

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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23

Basim Mohammed Melgat. "On Fuzzy α̂g-Topological R-Module Spaces". International Journal of Applied Mathematics and Computing 2, № 1 (2024): 01–14. https://doi.org/10.62951/ijamc.v2i1.33.

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The aim of this research is to give a new definition and study a new notion of fuzzy α̂g-topological R-module spaces using fuzzy α̂g-open sets. The concept of fuzzy α̂g-topological R-modules is introduced and study them to provide a mathematical basis. Traditional cautiousness for F bisected by α̂g-tautologies reigns furtive-space yield we assay different fuzzy α̂g-separation axioms such as where in the context of these spaces. Also, we study fuzzy -separation axiom in fuzzy - Topological. R-Module space. The results indicate that throughout the domain of a fuzzy topological R-module space the

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24

Acharjee, Santanu. "Fixed point theorem in fuzzy metric space." Boletim da Sociedade Paranaense de Matemática 34, no. 1 (2016): 273–77. http://dx.doi.org/10.5269/bspm.v34i1.24495.

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25

Wu, Hsien-Chung. "Embedding the Different Families of Fuzzy Sets into Banach Spaces by Using Cauchy Sequences." Mathematics 12, no. 23 (2024): 3660. http://dx.doi.org/10.3390/math12233660.

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The family F(U) of all fuzzy sets in a normed space cannot be a vector space. This deficiency affects its application to practical problems. The topics of functional analysis and nonlinear analysis in mathematics are based on vector spaces. Since these two topics have been well developed such that their tools can be used to solve practical economics and engineering problems, lacking a vector structure for the family F(U) diminishes its applications to these kinds of practical problems when fuzzy uncertainty has been detected in a real environment. Embedding the whole family F(U) into a Banach

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26

ZHANG, L., and B. ZHANG. "Fuzzy reasoning model under quotient space structure." Information Sciences 173, no. 4 (2005): 353–64. http://dx.doi.org/10.1016/j.ins.2005.03.005.

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27

Sun, Wen. "Fuzzy knowledge spaces based on $ \beta $ evaluation criteria." AIMS Mathematics 8, no. 11 (2023): 26840–62. http://dx.doi.org/10.3934/math.20231374.

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<abstract><p>In KST, it is always assumed that the knowledge state represents items that an individual can solve in ideal conditions. Namely, the answers of individuals to items can be encoded as either correct or incorrect. The correct answer indicates a complete mastery of the item, but the incorrect answer may indicate a partial mastery of the item. It is reasonable to use a fuzzy knowledge state to represent the partial mastery of items instead of complete mastery. The fuzzy knowledge state of an individual is represented by a fuzzy set in $ \mathcal{F}(Q) $ that the individual

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28

Zhao, Yuan. "Homomorphisms between Fuzzy Approximation Spaces Based on Residuated Lattice." Journal of Applied Mathematics 2014 (2014): 1–9. http://dx.doi.org/10.1155/2014/809298.

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Two kinds of homomorphisms of fuzzy approximation spaces based on complete residuated lattice are proposed. The homomorphisms are structure-preserving maps in some sense. We also introduce the fuzzy approximation subspaces and investigate their correspondence with the homomorphisms. Given a fuzzy equivalence relation, the factor set of the fuzzy approximation space is discussed.

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29

Mahato, Sutapa, and S. P. Tiwari. "On Bijective Correspondence between Fuzzy Reflexive Approximation Spaces and Fuzzy Transformation Systems." New Mathematics and Natural Computation 16, no. 02 (2020): 291–304. http://dx.doi.org/10.1142/s1793005720500179.

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The objective of this paper is to establish the relationship between fuzzy approximation operators and fuzzy transformation systems. We show that for each upper fuzzy transformation system there exists a fuzzy reflexive approximation space and vice-versa. We further establish such relationship between lower fuzzy transformation systems and fuzzy reflexive approximation spaces under the condition that the underline lattice structure satisfies double negation law.

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30

Wu, Hsien-Chung. "Normed Space of Fuzzy Intervals and Its Topological Structure." Axioms 12, no. 10 (2023): 996. http://dx.doi.org/10.3390/axioms12100996.

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The space, Ƒcc(R), of all fuzzy intervals in R cannot form a vector space. However, the space Ƒcc(R) maintains a vector structure by treating the addition of fuzzy intervals as a vector addition and treating the scalar multiplication of fuzzy intervals as a scalar multiplication of vectors. The only difficulty in taking care of Ƒcc(R) is missing the additive inverse element. This means that each fuzzy interval that is subtracted from itself cannot be a zero element in Ƒcc(R). Although Ƒcc(R) cannot form a vector space, we still can endow a norm on the space Ƒcc(R) by following its vector struc

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31

B., Amudhambigai, and Madhuri V. "A STUDY ON FUZZY ALPHA - Ext SOBER SPACES." International Journal of Scientific Research and Modern Education 2, no. 2 (2017): 56–62. https://doi.org/10.5281/zenodo.1028261.

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In this paper, the new concept of Fuzzy <strong> </strong>-Exterior Sober Space (briefly, F -Ext Sober Space) is introduced. Two extension theorems for Fuzzy <strong> </strong>-Ext Sober Space are studied using fuzzy quasi-homeomorphism. In this connection, some equivalent statements for fuzzy <strong> </strong>-Ext Sober Spaces are also established.

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32

Khan, Vakeel, and Rahaman Ashadul. "Statistical convergence in intuitionistic fuzzy G-metric spaces with order n." Filomat 38, no. 8 (2024): 2785–812. https://doi.org/10.2298/fil2408785k.

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Анотація:

Mohiudddine and Alotaibi [25] introduced the notion of intuitionistic generalized fuzzy metric space to extend the generalized fuzzy metric space. Choi et al.[Structure for 1-Metric Spaces and Related Fixed Point Theorems, arXiv preprint arXiv:1804.03651, (2018)] has recently proposed the notion of 1-metric as a generalized notion of the distance function. Employing the idea in this paper, we first put forth the notion of Intuitionistic fuzzy G-metric space with order n as a generalization of intuitionistic fuzzy metric space. We describe some properties of this novel space and construct examp

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33

Soujanya, Gundeti, and B. Surender Reddy. "N-Cubic Picture Fuzzy Linear Spaces." Indian Journal Of Science And Technology 17, no. 31 (2024): 3228–43. http://dx.doi.org/10.17485/ijst/v17i31.1793.

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Анотація:

Objectives: The major objective of the present work is to apply the concept of N-cubic structure to N-Picture Fuzzy Linear Spaces. It also examines the fundamental operations such as P-union, P-intersection, R-union and R- intersection of N-Cubic Picture Fuzzy Linear Spaces, ENCPFLS and INCPFLS, and discusses in detail both of them with examples. Methods: We define P(R)-union and P(R)- intersection of N- Cubic Picture Fuzzy Linear Spaces and its properties by giving few examples with the motivation of the notion of Cubic Picture Fuzzy Linear Space (CPFLS). Findings: The notion of external and

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34

A Mohan. "New Contraction Principle in Revised Fuzzy k-Metric Spaces." Communications on Applied Nonlinear Analysis 32, no. 9s (2025): 1319–31. https://doi.org/10.52783/cana.v32.4142.

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Анотація:

Introduction Metric spaces play a crucial role in mathematical analysis and topology. In recent years, fuzzy metric spaces have been widely studied due to their applications in various fields. Alexander Sostak introduced the concept of revised fuzzy metric spaces, which extends traditional fuzzy metric spaces by incorporating revised fuzzy sets. In this paper, we introduce a further generalization called revised fuzzy metric spaces, which allows for the involvement of multiple parameters (), thereby enhancing the flexibility and applicability of the framework. Objectives The primary aim of thi

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35

Thangathamizh R,. "Topological Study on Revised Fuzzy Metric Spaces and Their Generalization." Communications on Applied Nonlinear Analysis 32, no. 9s (2025): 88–98. https://doi.org/10.52783/cana.v32.3840.

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Introduction In this paper, we explore the concept of metric functions within a revised fuzzy metric space. The study focuses on understanding the relationships between these metric functions and the topological structures they generate. Specifically, we introduce the concept of a stratified function within this framework and investigate its implications. Objectives The main objectives of this paper are: To define and analyze stratified functions in a revised fuzzy metric space. To demonstrate that the topology generated by the family of stratified functions coincides with the topology generat

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36

Paudel, Gyan Prasad, Narayan Prasad Pahari, and Sanjeev Kumar. "Double Sequence Space of Fuzzy Real Numbers Defined by Orlicz Function." Nepali Mathematical Sciences Report 39, no. 2 (2022): 85–94. http://dx.doi.org/10.3126/nmsr.v39i2.51698.

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Анотація:

The theory of fuzzy logic and the fuzzy set has been successfully applied in various fields of research in social science, management science, and mathematics. In this paper, we use the concept of Fuzzy real numbers to introduce and study the new double sequence spaces l∞ (M, λ, ρ), C F (M, λ, ρ) and CoF (M, λ, ρ) of fuzzy real numbers defined by the Orlicz function and study some of their properties like linear space structure, completeness, and solidness.

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37

Abbas, Fadhil. "Fuzzy Ideal Supra Topological Spaces." Advances in Fuzzy Systems 2020 (November 27, 2020): 1–10. http://dx.doi.org/10.1155/2020/8824296.

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Анотація:

In this paper, we introduce the notion of fuzzy ideals in fuzzy supra topological spaces. The concept of a fuzzy s-local function is also introduced here by utilizing the s-neighbourhood structure for a fuzzy supra topological space. These concepts are discussed with a view to find new fuzzy supra topologies from the original one. The basic structure, especially a basis for such generated fuzzy supra topologies, and several relations between different fuzzy ideals and fuzzy supra topologies are also studied here. Moreover, we introduce a fuzzy set operator Ψ S and study its properties. Finally

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38

Saleem, Naeem, Umar Ishtiaq, Liliana Guran, and Monica-Felicia Bota. "On Graphical Fuzzy Metric Spaces with Application to Fractional Differential Equations." Fractal and Fractional 6, no. 5 (2022): 238. http://dx.doi.org/10.3390/fractalfract6050238.

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Анотація:

In this article, the authors introduced the concept of graphical fuzzy metric spaces which is a generalization of fuzzy metric spaces with the help of a relation. The authors discussed some topological structure, convergence criteria, and proved a Banach fixed-point result in graphical fuzzy metric space. As an application of obtained results, the authors find a solution of an integral equation and nonlinear fractional differential equations in the context of graphical fuzzy metric spaces. The authors provided some examples to illustrate the obtained results herein.

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39

Saleem, Naeem, Umar Ishtiaq, Liliana Guran, and Monica-Felicia Bota. "On Graphical Fuzzy Metric Spaces with Application to Fractional Differential Equations." Fractal and Fractional 6, no. 5 (2022): 238. http://dx.doi.org/10.3390/fractalfract6050238.

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Анотація:

In this article, the authors introduced the concept of graphical fuzzy metric spaces which is a generalization of fuzzy metric spaces with the help of a relation. The authors discussed some topological structure, convergence criteria, and proved a Banach fixed-point result in graphical fuzzy metric space. As an application of obtained results, the authors find a solution of an integral equation and nonlinear fractional differential equations in the context of graphical fuzzy metric spaces. The authors provided some examples to illustrate the obtained results herein.

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40

DEMİRALP, SİBEL, and GÜLNUR HAÇAT. "H-GROUP STRUCTURE ON INTUITIONISTIC FUZZY TOPOLOGICAL SPACE." Journal of Universal Mathematics 2, no. 1 (2019): 89–97. http://dx.doi.org/10.33773/jum.506510.

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41

Sadeqi, I., and F. Solaty Kia. "Fuzzy normed linear space and its topological structure." Chaos, Solitons & Fractals 40, no. 5 (2009): 2576–89. http://dx.doi.org/10.1016/j.chaos.2007.10.051.

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42

Banaru, Alexander M., Daria A. Banaru, and Sergey M. Aksenov. "GROUPOID OF INTERMOLECULAR CONTACTS AND ITS FUZZY CAYLEY GRAPH." Lomonosov chemistry journal 64, no. 3, 2023 (2023): 223–37. http://dx.doi.org/10.55959/msu0579-9384-2-2023-64-3-223-237.

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Анотація:

The article defi nes a group of intermolecular contacts for a monosystemic molecular structure described by one of the crystallographic symmetry groups (space, subperiodic, point) in n-dimensional Euclidean space with unoccupied special positions. The defi nition of a monoid of contacts for a polysystemic molecular structure is given. Crisp and fuzzy Cayley graphs of groups and monoids of contacts are constructed. Some examples of crystal structures are considered.

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43

Yadav, Gopal, Rajesh Kumar Sharma, and Gend Lal Prajapati. "ON COMPLEX VALUED FUZZY b - METRIC SPACE." jnanabha 53, no. 02 (2023): 224–31. http://dx.doi.org/10.58250/jnanabha.2023.53226.

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In this paper, the notion of complex-valued fuzzy b-metric space is introduced. In this newly developed structure, we have established a sucient condition for a sequence to be Cauchy. Moreover, under suitable conditions of contractive type, the existence and uniqueness of fixed points of self-maps are established in this structure. To demonstrate the validity of the hypothesis and the degree of generality of our results, some examples are also furnished.

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44

Gundeti, Soujanya, and Surender Reddy B. "N-Cubic Picture Fuzzy Linear Spaces." Indian Journal of Science and Technology 17, no. 31 (2024): 3228–43. https://doi.org/10.17485/IJST/v17i31.1793.

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Анотація:

Abstract <strong>Objectives:</strong> The major objective of the present work is to apply the concept of N-cubic structure to N-Picture Fuzzy Linear Spaces. It also examines the fundamental operations such as P-union, P-intersection, R-union and R- intersection of N-Cubic Picture Fuzzy Linear Spaces, ENCPFLS and INCPFLS, and discusses in detail both of them with examples.<strong> Methods:</strong> We define P(R)-union and P(R)- intersection of N- Cubic Picture Fuzzy Linear Spaces and its properties by giving few examples with the motivation of the notion of Cubic Picture Fuzzy L

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45

M. Srividya and G. Jayalalitha. "A CONTRIBUTION TO THE STUDY ON CHAOS SPACE IN FUZZY ROUGH ALGEBRAIC TM SYSTEM." International Journal of Scientific Research in Modern Science and Technology 2, no. 12 (2023): 14–21. http://dx.doi.org/10.59828/ijsrmst.v2i12.164.

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This paper introduces a new concept called chaos space in fuzzy rough algebraic TM system. It studies the properties of chaos space and introduces a new system called fuzzy rough chaotic structure space. It emphasizes the properties of chaotic interior and chaotic closure.

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46

J. Nirmala. "A New Inventive Approach to Nano Fuzzy Soft Topological Space Using Mathematical Analysis." Communications on Applied Nonlinear Analysis 31, no. 8s (2024): 747–56. http://dx.doi.org/10.52783/cana.v31.1586.

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The important theme of this paper is to define a lower and upper approximation for the set under consideration in order to examine a novel class of topological field known as Nano fuzzy soft topological space. Fuzzy topology coverts ordered structure to topological structure by using by its own criteria conditions. Nano topology is defined with the help of equivalence relation so that even micro spacing is included in the topological space. The condition of these two topological space has been merged and a new space known as Nano fuzzy topological space has been investigated and studied. Soft

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47

Luo, Shi Hua. "The Structure of Fuzzifying Measure Space and Fuzzifying Measure." Advanced Materials Research 108-111 (May 2010): 844–49. http://dx.doi.org/10.4028/www.scientific.net/amr.108-111.844.

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A new so-called fuzzifying measurable theory that generalizes the classical measurable theory is established, the essence of which is a fuzzy measure on a multiple-valued algebra. First, the semantics method of continuous-valued logic is used to describe the new measure succinctly. Then, the structures of the new theory are discussed in detail and some of the key structural features of the classic measure can be successfully extended to the new theory. Lastly, the product of the two fuzzifying measures is studied and a problem, which is similar to the third of the open problems in fuzzy measur

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48

Agrawal, Swati, P. L. Sanodia, Neeraj Malviya, and Jyoti Nema. "COINCIDENCE AND COMMON FIXED-POINT THEOREM USING COMPATIBLE MAPPING OF TYPE (P) ON INTUITIONISTIC FUZZY b-METRIC SPACES." South East Asian J. of Mathematics and Mathematical Sciences 20, no. 01 (2024): 469–80. http://dx.doi.org/10.56827/seajmms.2024.2001.36.

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49

Ginsberg, Jerry H. "A continuous system for testing fuzzy structure concepts." Journal of the Acoustical Society of America 152, no. 4 (2022): A136. http://dx.doi.org/10.1121/10.0015799.

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Much effort had been devoted to studying fuzzy structure models in which the master structure is a large rigid body. At a time when activity in fuzzy structures began to wane, a paper by Drexel and Ginsberg [J. Vib. Acoust. 123, 181–187 (2001)] provided a quantitative model for testing the validity of assumptions embedded in the notion of a fuzzy structure. Its model was a cantilever beam with an finite number of attached SDOF oscillators. A state space formulation in conjunction with a Ritz series led to responses in the frequency and time domains. The investigation used idealized properties

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50

Javed, Khalil, Awais Asif, and Ekrem Savas. "A Note on Orthogonal Fuzzy Metric Space, Its Properties, and Fixed Point Theorems." Journal of Function Spaces 2022 (May 11, 2022): 1–14. http://dx.doi.org/10.1155/2022/5863328.

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Анотація:

The article generalizes the notion of orthogonal fuzzy metric space into a broader term, named as orthogonal picture fuzzy metric space. The obtained results improve and extend the idea of the orthogonal fuzzy metric space and its related results. However, this article outstretches the above-mentioned notion further into a newly defined concept, named as orthogonal picture fuzzy metric space. A detailed insight is given into the topic by presenting some fixed point results in the frame of the newly defined structure. To elaborate the results more precisely, some concrete examples are given.

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