Fixed point theorems for hybrid multi-valued mappings without using the Pompeiu–Hausdorff distance

Joshi, Bharti; Bisht, Ravindra K.

doi:10.1007/s41478-021-00350-5

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Principle Of Mhd Algorithm2

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2023

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(2 citation statements)

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“…HD algorithm can be used to process the overall characteristics of images, which is a fuzzy distance measure [7]. The two finite point sets in a given Euclidean space are:…”

Section: Principle Of Mhd Algorithmmentioning

confidence: 99%

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A Faulty Line Selection Method for Flexible Grounding System Based on Transient Fault Data

Chen¹,

Xu²,

et al. 2023

J. Phys.: Conf. Ser.

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In view of the problem of high-impedance grounding faults (HIFs) in flexible grounding systems (FGS), a faulty line selection method based on transient waveform slope is proposed in this paper. The change of zero sequence (ZS) current of faulty line and non-faulty line (before and after the neutral point parallel small resistance are put in) are analyzed. After the parallel small resistance is put into operation, the waveform slope curve of the transient zero sequence current of each line is obtained, and the modified Hausdorff distance (MHD) algorithm is used to obtain the transient slope matrix. The faulty line is identified by comparing the sizes of each row of elements in the matrix. Simulation verifies the effectiveness of the proposed faulty line selection method.

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“…HD algorithm can be used to process the overall characteristics of images, which is a fuzzy distance measure [7]. The two finite point sets in a given Euclidean space are:…”

Section: Principle Of Mhd Algorithmmentioning

confidence: 99%

“…In this way, the distance between each point in point set A, and each point in point set B can be calculated by Equation (7). The smaller ( ) imp , H A B is, the smaller the difference between point set A and point set B.…”

Section: Principle Of Mhd Algorithmmentioning

confidence: 99%

A Faulty Line Selection Method for Flexible Grounding System Based on Transient Fault Data

Chen¹,

Xu²,

et al. 2023

J. Phys.: Conf. Ser.

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show abstract

Fixed point theorems for hybrid multi-valued mappings without using the Pompeiu–Hausdorff distance

Cited by 1 publication

References 20 publications

A Faulty Line Selection Method for Flexible Grounding System Based on Transient Fault Data

A Faulty Line Selection Method for Flexible Grounding System Based on Transient Fault Data

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