Convex Soft Geometries

Alcantud, José Carlos R.

doi:10.47852/bonviewjcce597820

Cited by 16 publications

(4 citation statements)

References 23 publications

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“…Large amounts of voltage, current, and SOC data can be obtained in the charging and discharging tests of the LPA. On the grounds of these data, the RLS method is utilized for identifying the model parameters [13,14]. The recursive formula using the least-squares method is showcased in Equation (4).…”

Section: Construction Of a Ternary Lpa Modelmentioning

confidence: 99%

Construction and Method Study of the State of Charge Model for Lithium-Ion Packs in Electric Vehicles Using Ternary Lithium Packs as an Example

Hu,

Liu,

Huang

2024

WEVJ

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Accurate and real-time estimation of pack system-level chips is essential for the performance and reliability of future electric vehicles. Firstly, this study constructed a model of a nickel manganese cobalt cell on the ground of the electrochemical process of the packs. Then, it used methods on the grounds of the unscented Kalman filter and unscented Kalman particle filter for system-level chip estimation and algorithm construction. Both algorithms are on the ground of Kalman filters and can handle nonlinear and uncertain system states. In comparative testing, it can be seen that the unscented Kalman filter algorithm can accurately evaluate the system-level chip of the nickel manganese cobalt cell under intermittent discharge conditions. The system-level chip was 0.53 at 1000 s and was reduced to 0.45 at 1500 s. These results demonstrate that the evaluation of the ternary lithium battery pack’s performance is time-dependent and indicate the accuracy of the algorithm used during this time period. These data should be considered in the broader context of the study for a comprehensive understanding of their meaning. In the later stage, the estimation error of the recursive least-squares unscented Kalman particle filter method for system-level chips began to significantly increase, gradually exceeding 1%, with a corresponding root-mean-square error of 0.002171. This indicates that the recursive least-squares optimization algorithm, the unscented Kalman particle filter algorithm, diminished its root mean square error by 27.59%. The unscented Kalman filter and unscented Kalman particle filter are effective in estimating the system-level chip of nickel manganese cobalt cells. However, UPF performs more robustly in handling complex situations, such as pack aging and temperature changes. This study provides a new perspective and method that has a high reference value for pack management systems. This helps to achieve more effective energy management and improve pack life, thereby enhancing the reliability and practicality of electric vehicles.

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Section: Construction Of a Ternary Lpa Modelmentioning

confidence: 99%

Construction and Method Study of the State of Charge Model for Lithium-Ion Packs in Electric Vehicles Using Ternary Lithium Packs as an Example

Hu,

Liu,

Huang

2024

WEVJ

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“…Numerous mathematicians have used soft set theory to introduce various mathematical structures, including soft group theory [13], soft ring theory [14], soft convex structures [15], and soft ideals [16]. These papers highlight the use of soft set theory in handling challenging mathematical problems.…”

Section: Introduction and Preleminariesmentioning

confidence: 99%

On Soft ωδ-Open Sets and Some Decomposition Theorems

Abuzaid,

Al-Ghour,

Naghi

2024

Mathematics

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In this paper, we present a novel family of soft sets named “soft ωδ-open sets”. We find that this class constitutes a soft topology that lies strictly between the soft topologies of soft δ-open sets and soft ω0-open sets. Also, we introduce certain sufficient conditions for the equivalence between this new soft topology and several existing soft topologies. Moreover, we verify several relationships that contain soft covering properties, such as soft compactness and soft Lindelofness, which are related to this new soft topology. Furthermore, in terms of the soft interior operator in certain soft topologies, we define four classes of soft sets. Via them, we obtain new decomposition theorems for soft δ-openness and soft θ-openness, and we characterize the soft topological spaces that have the soft “semi-regularization property”. In addition, via soft ωδ-open sets, we introduce and investigate a new class of soft functions named “soft ωδ-continuous functions”. Finally, we look into the connections between the newly proposed soft concepts and their counterparts in classical topological spaces.

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“…Several scholars have used soft set theory to study mathematical structures such as soft group theory [16], soft ring theory [17], soft convex structures [18], soft ideals [19], etc. Khameneh and Kilicman [20] introduced the idea of σ-algebras in soft set configurations.…”

Section: Introductionmentioning

confidence: 99%

Baire Category Soft Sets and Their Symmetric Local Properties

Ameen,

Alqahtani

2023

Symmetry

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In this paper, we study soft sets of the first and second Baire categories. The soft sets of the first Baire category are examined to be small soft sets from the point of view of soft topology, while the soft sets of the second Baire category are examined to be large. The family of soft sets of the first Baire category in a soft topological space forms a soft σ-ideal. This contributes to the development of the theory of soft ideal topology. The main properties of these classes of soft sets are discussed. The concepts of soft points where soft sets are of the first or second Baire category are introduced. These types of soft points are subclasses of non-cluster and cluster soft sets. Then, various results on the first and second Baire category soft points are obtained. Among others, the set of all soft points at which a soft set is of the second Baire category is soft regular closed. Moreover, we show that there is symmetry between a soft set that is of the first Baire category and a soft set in which each of its soft points is of the first Baire category. This is equivalent to saying that the union of any collection of soft open sets of the first Baire category is again a soft set of the first Baire category. The last assertion can be regarded as a generalized version of one of the fundamental theorems in topology known as the Banach Category Theorem. Furthermore, it is shown that any soft set can be represented as a disjoint soft union of two soft sets, one of the first Baire category and the other not of the first Baire category at each of its soft points.

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Convex Soft Geometries

Cited by 16 publications

References 23 publications

Construction and Method Study of the State of Charge Model for Lithium-Ion Packs in Electric Vehicles Using Ternary Lithium Packs as an Example

Construction and Method Study of the State of Charge Model for Lithium-Ion Packs in Electric Vehicles Using Ternary Lithium Packs as an Example

On Soft ωδ-Open Sets and Some Decomposition Theorems

Baire Category Soft Sets and Their Symmetric Local Properties

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