• Title/Summary/Keyword: fuzzy filter

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A NEW CONGRUENCE RELATION ON LATTICE IMPLICATION ALGEBRAS

  • Jun, Young-Bae;Song, Seok-Zun
    • Journal of applied mathematics & informatics
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    • v.13 no.1_2
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    • pp.385-392
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    • 2003
  • Using a fuzzy filter, a new congruence relation induced by the fuzzy filter is given in lattice implication algebras, and some of their properties are investigated.

e-FUZZY FILTERS OF MS-ALGEBRAS

  • Alaba, Berhanu Assaye;Alemayehu, Teferi Getachew
    • Korean Journal of Mathematics
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    • v.27 no.4
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    • pp.1159-1180
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    • 2019
  • In this article, we present the notion of e-fuzzy filters in an MS-Algebra and characterize in terms of equivalent conditions. The concept of D-fuzzy filters is studied and the set of equivalent conditions under which every e-fuzzy filter is an D-fuzzy filter are observed. Moreover we study some properties of the space of all prime e-fuzzy filters of an MS-algebra.

AN IMPLICATIVE FILTER OF BE-ALGEBRAS IN CONNECTION WITH CUBIC INTUITIONISTIC FUZZY SETS

  • Rajab Ali, Borzooei;Hee Sik, Kim;Young Bae, Jun;Sun Shin, Ahn
    • Honam Mathematical Journal
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    • v.44 no.4
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    • pp.535-559
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    • 2022
  • The notions of cubic intuitionistic fuzzy set to filters and implicative filters of BE-algebras are introduced. Relations between cubic intuitionistic fuzzy filters with cubic intuitionistic fuzzy implicative filters of BE-algebras are investigated. The homomorphic image and inverse image of cubic intuitionistic fuzzy filters are studied and some related properties are investigated. Also, the product of cubic intuitionistic fuzzy subalgebras (implicative filters) of BE-algebras are investigated.

Fuzzy $\alpha-\beta$ filter for vehicle tracking (차량 추적 성능 향상을 위한 퍼지 $\alpha-\beta$ 필터)

  • 정태진;김인택;한승수
    • Proceedings of the IEEK Conference
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    • 2000.06e
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    • pp.43-46
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    • 2000
  • In this paper, we present a method for vehicle tracking systems using $\alpha$-$\beta$ filter based on fuzzy logic. The $\alpha$-$\beta$ filter estimates the future target positions using fixed $\alpha$.$\beta$ coefficients. We utilize the fuzzy logic to make $\alpha$ and $\beta$ coefficients very with the position. Comparisons of tracking performance made for three different schemes: the $\alpha$-$\beta$ filter, $\alpha$-$\beta$filter using fuzzy logic, and the kalman filter.

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FUZZY-FILTER-BASED APPROACH TO RESTORATION OF THE OLD MOVIES

  • Tomohisa-Hoshi;Takashi-Komatsu;Takahiro-Saito
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 1999.06a
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    • pp.29-34
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    • 1999
  • We present a practical method for removing biotches and restoring their mission data. To detect blotches, we employ a robust approach of local analysis of spatiotemporal anisotropic brightness continuity Our approach uses first-order spatiotemporal directional derivatives to select the smoothest direction for each examined pixel, and puts out the incorruption probability that he examined pixel may not be corrupted by blotches. As the restoration filter, were employ a spatiotemporal fuzzy filter whose response is adaptively controlled according to a fuzzy rule defined by the incorruption probability. The fuzzy filter is composed of the two different filter of the identity filter and the spatiotemporal directional-weighted-mean filter, and will put out an intermediate value between the original input brightness and the directional-weighted-mean brightness. We design the fuzzy rule in advance by a standard supervised learning fuzzy rule in advance by a standard supervised learning method. The computer simulations are presented.

GA-Based Fuzzy Kalman Filter for Tracking the Maneuvering Target

  • Noh, Sun-Young;Lee, Bum-Jik;Joo, Young-Hoon;Park, Jin-Bae
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.1500-1504
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    • 2005
  • This paper proposes the design methodology of genetic algorithm (GA)-based fuzzy Kalman filter for tracking the maneuvering target. The performance of the standard Kalman Filter (SKF) has been degraded because mismatches between the modeled target dynamics and the actual target dynamics. To solve this problem, we use the method to estimate the increment of acceleration by a fuzzy system using the relation between maneuver filter residual and non-maneuvering one. To optimize the fuzzy system, a genetic algorithm (GA) is utilized and this is then tuned by the fuzzy logic correction. Finally, the tracking performance of the proposed method has been compared with those of the input estimation (IE) technique and the intelligent input estimation (IIE) through computer simulations.

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CLOSURE FILTERS AND PRIME FUZZY CLOSURE FILTERS OF MS-ALGEBRAS

  • Noorbhasha, Rafi;Bandaru, Ravikumar;Shum, Kar Ping
    • Korean Journal of Mathematics
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    • v.28 no.3
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    • pp.509-524
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    • 2020
  • The notion of fuzzy closure filters is introduced and discussed in an MS-algebra. In particular, we characterize the prime fuzzy closure filters in terms of boosters. Some relationship between the lattice of fuzzy closure filters and the fuzzy ideal lattice of boosters are explored and investigated.

𝛽-FUZZY FILTERS IN MS-ALGEBRAS

  • Alaba, Berhanu Assaye;Alemayehu, Teferi Getachew
    • Korean Journal of Mathematics
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    • v.27 no.3
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    • pp.595-612
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    • 2019
  • In this paper, we introduce the concept of ${\beta}$-fuzzy filters in MS-algebras and ${\beta}$-fuzzy filters are characterized in terms of boosters. It is proved that the lattice of ${\beta}$-fuzzy filters is isomorphic to the fuzzy ideal lattice of boosters.

The design T-S fuzzy model-based target tracking systems (T-S 퍼지모델 기반 표적추적 시스템)

  • Hoh Sun-Young;Joo Young-Hoon;Park Jin-Bae
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2005.11a
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    • pp.419-422
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    • 2005
  • In this note, the Takagi-Sugeno (T-S) fuzzy-model-based state estimator using standard Kalman filter theory is investigated. In that case, the dynamic system model is represented the T-S fuzzy model with the fuzzy state estimation. The steady state solutions can be found for proposed modeling method and dynamic system for maneuvering targets can be approximated as locally linear system. And then, modeled filter is corrected by the fuzzy gain which is a fuzzy system using the relation between the filter residual and its variation. This paper studies the T-S fuzzy model-based state estimator which the dynamic system can be approximated as linear system.

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