• Title/Summary/Keyword: Value Distance Metric

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FIXED-POINT THEOREMS FOR (𝜙, 𝜓, 𝛽)-GERAGHTY CONTRACTION TYPE MAPPINGS IN PARTIALLY ORDERED FUZZY METRIC SPACES WITH APPLICATIONS

  • Goswami, Nilakshi;Patir, Bijoy
    • Korean Journal of Mathematics
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    • v.30 no.2
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    • pp.375-389
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    • 2022
  • In this paper, we prove some fixed-point theorems in partially ordered fuzzy metric spaces for (𝜙, 𝜓, 𝛽)-Geraghty contraction type mappings which are generalization of mappings with Geraghty contraction type condition. Application of the derived results are shown in proving the existence of unique solution to some boundary value problems.

A NEW CONTRACTION BY UTILIZING H-SIMULATION FUNCTIONS AND Ω-DISTANCE MAPPINGS IN THE FRAME OF COMPLETE G-METRIC SPACES

  • AHMED AL-ZGHOUL;TARIQ QAWASMEH;RAED HATAMLEH;ABEDALKAREEM ALHAZIMEH
    • Journal of applied mathematics & informatics
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    • v.42 no.4
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    • pp.749-759
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    • 2024
  • In this manuscript, we formulate the notion of Ω(H, θ)-contraction on a self mapping f : W → W, this contraction based on the concept of Ω-distance mappings equipped on G-metric spaces together with the concept of H-simulation functions and the class of Θ-functions, we employ our new contraction to unify the existence and uniqueness of some new fixed point results. Moreover, we formulate a numerical example and a significant application to show the novelty of our results; our application is based on the significant idea that the solution of an equation in a certain condition is similar to the solution of a fixed point equation. We are utilizing this idea to prove that the equation, under certain conditions, not only has a solution as the Intermediate Value Theorem says but also that this solution is unique.

Synthesis of Spatial Results to Recommend a Preferred Alternative

  • Lim, Kwang-Suop;Kang, Shin-Uk
    • Proceedings of the Korea Water Resources Association Conference
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    • 2010.05a
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    • pp.798-802
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    • 2010
  • The integration of GIS and fuzzy MCDA(Multi-Criteria Decision Analysis) allows the engineer to determine the preferred alternative for each spatial location in the study area. The next step is to recommend to the final decision makers a single flood management alternative for the entire region. Note that if the study area is large, it might be possible to use the kind of information to recommend different alternatives for different portions of the region. However, for this study it is assumed that only a single alternative will be used. In this study, a "cost of uniformity" metric is proposed that allows decision makers to compute the impact of selecting a single alternative for the entire floodplain. This metric represents the increase in the average distance metric value as compared to the spatially diverse solution from the MCDA and GIS analysis. The results could be applied to any region of the floodplain as desired. Whether the decision makers decide to apply these calculations to the entire floodplain or to specific important regions within the floodplain, an analysis of the increases in the cost of uniformity provides an integrated way for the decision maker to rank the alternatives. This should provide an improvement in their engineering analysis.

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An Adaptive K-best Algorithm Based on Path Metric Comparison for MIMO Systems (MIMO System을 위한 Path Metric 비교 기반 적응형 K-best 알고리즘)

  • Kim, Bong-Seok;Choi, Kwon-Hue
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.32 no.11A
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    • pp.1197-1205
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    • 2007
  • An adaptive K-best detection scheme is proposed for MIMO systems. The proposed scheme changes the number of survivor paths, K based on the degree of the reliability of Zero-Forcing (ZF) estimates at each K-best step. The critical drawback of the fixed K-best detection is that the correct path's metric may be temporarily larger than K minimum paths metrics due to imperfect interference cancellation by the incorrect ZF estimates. Based on the observation that there are insignificant differences among path metrics (ML distances) when the ZF estimates are incorrect, we use the ratio of the minimum ML distance to the second minimum as a reliability indicator for the ZF estimates. So, we adaptively select the value of K according to the ML distance ratio. It is shown that the proposed scheme achieves the significant improvement over the conventional fixed K-best scheme. The proposed scheme effectively achieves the performance of large K-best system while maintaining the overall average computation complexity much smaller than that of large K system.

Instance Based Learning Revisited: Feature Weighting and its Applications

  • Song Doo-Heon;Lee Chang-Hun
    • Journal of Korea Multimedia Society
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    • v.9 no.6
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    • pp.762-772
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    • 2006
  • Instance based learning algorithm is the best known lazy learner and has been successfully used in many areas such as pattern analysis, medical analysis, bioinformatics and internet applications. However, its feature weighting scheme is too naive that many other extensions are proposed. Our version of IB3 named as eXtended IBL (XIBL) improves feature weighting scheme by backward stepwise regression and its distance function by VDM family that avoids overestimating discrete valued attributes. Also, XIBL adopts leave-one-out as its noise filtering scheme. Experiments with common artificial domains show that XIBL is better than the original IBL in terms of accuracy and noise tolerance. XIBL is applied to two important applications - intrusion detection and spam mail filtering and the results are promising.

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Selecting Optimal Design Condition Based on Automobile Brake Feeling Using Mahalanobis Taguchi System (Mahalanobis Taguchi System을 이용한 자동차 브레이크 성능 만족도를 고려한 설계조건 선정에 관한 연구)

  • Hong, Jung-Eui;Kwon, Hong-Kyu
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.30 no.1
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    • pp.41-47
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    • 2007
  • Mahalanobis Taguchi-System (MTS) is a pattern information technology, which has been used in different diagnostic ap plications to make quantitative decisions by constructing a multivariate system using data analytic methods without any as sumption regarding statistical distribution. MTS performs Taguchi's fractional factorial design based on the Mahalanobis distance as a performance metric In this work, MTS used for analyzing automotive brake feeling system, which measured as a brake feel index (BFI) from 9 attributes. The automobile which has a good BFI score treated as a normal group for constructing Mahalanobis space. The results of this research show that two attributes (Pre load & Max deceleration) have a minus gain value and can be removed from further analysis. The difference of MD value between using all 9 attributes and just using significant attribute compared.

TAILWIND: Mobility information based Routing for Delay Tolerant Network (이동 방향 정보를 이용한 DTN 라우팅: TAILWIND)

  • Cho, Seoik;Kim, Sunhyun;Moon, Soohoon;Han, Seungjae
    • Journal of KIISE
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    • v.42 no.3
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    • pp.408-412
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    • 2015
  • In base station based networks, traffic overload at the base station is inevitable. Peer-to-peer DTN which disperses the traffic overhead to each node can relieve the traffic overload at the base station. To increase the message delivery ratio and reduce the message overhead, we present novel routing using mobility information which can be obtained from each node, unlike the existing flooding based routings. In the proposed routing scheme, the routing decision metric, which is defined based on the node mobility information, is computed by using the expected distance between each node to the destination. The message is copied to other nodes that have lower expected distance to the destination than the value for the node willing to copy the message. We conducted simulations by using both a random mobility model and a real mobility trace to compare the performance of the proposed routing scheme to the existing routing scheme that does not utilize the mobility information. The performance evaluation showed the proposed routing successfully delivers messages with 10% to 30% less copies compared to previously proposed routing schemes.

Dynamic Adjustment of Hello and Hold Timer in AODV Routing Protocol

  • Godfrey, Daniel;Kim, Ki-Il
    • IEMEK Journal of Embedded Systems and Applications
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    • v.15 no.5
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    • pp.251-259
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    • 2020
  • Ad hoc On-demand Distance Vector (AODV) protocol and its variants employ two important timers, hello and hold timer to keep track of topology changes. Moreover, hold timer is computed by multiplying constant value to hello timer. But, this configuration leads to inaccurate settings of hold timer. To solve this problem, in this paper, we propose a new dynamic adjustment of hello and hold timer scheme by removing dependency between them. A new metric to measure mobility is applied into hello timer, while expected link lifetime does holder timer. Simulation results show a significant reduction in the number of messages, a fact suggesting that it is possible to maintain and in some cases improve the performance of AODV with a minimum amount of messages released into the network.

Selecting Optimal Design Condition based on Automobile Ride Satisfaction Using Mahalanobis Taguchi System (Mahalanobis Taguchi System을 이용한 자동차 승차감 만족도를 고려한 설계조건 선정에 관한 연구)

  • Hong, Jung-Eui
    • Proceedings of the Safety Management and Science Conference
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    • 2009.11a
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    • pp.99-107
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    • 2009
  • Mahalanobis Taguchi-System (MTS) has been used in different diagnostic applications to make quantitative decisions by constructing a multivariate system using data analytic methods without any assumption regarding statistical distribution. MTS performs Taguchi's fractional factorial design based on the Mahahlanobis distance as a performance metric. In this study, MTS used for analyzing automotive ride satisfaction, which measured as a CSR(Customer Satisfaction Rating). The automobile which has a good CSR score treated as a normal group for constructing Mahalanobis space. The results of this research show that two attribute (Impact Hardness and Memory Shake) have a minus gain value and can be removed from further analysis. With the linear regression model, the difference of CSR between using all 6 attributes and just using significant 4 attributes compared.

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Image quality evaluation of CRT Displays using SQRI method (SQRI법에 의한 CRT 디스플레이의 화질 평가)

  • 조경미;김정희;남궁지나;김현수
    • Korean Journal of Optics and Photonics
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    • v.11 no.2
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    • pp.85-90
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    • 2000
  • The image quality of CRT displays is descnbed by the physical characteristics such as luminance, contrast, address ability, viewing distance, and so on. However, the final evaluation of rmage quality is deteITIlllled by not phYSICal data, but subjective perceived Image quality. Therefore the correlation is compared the score of subjective image qualIty accompli~hed by several persons with calculated SQRI (SQuate Root Integral) value uSlllg 4 kInds of CRT monitors. And the influence of tile physical chatac1eristics for subjective Image quality is analyzed on the basis of the validity of SQRI method as a metric for the evaluation of subjective image quality. ality.

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