• 제목/요약/키워드: Fuzzy Convergence

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퍼지추론 및 뉴럴네트워크 기반 2휠구동 로봇의 주행제어알고리즘 개발 (Development of Travelling Control Algorithm Based Fuzzy Perception and Neural Network for Two Wheel Driving Robot)

  • 강언욱;양준석;차보남;박인수
    • 한국산업융합학회 논문집
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    • 제17권2호
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    • pp.69-76
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    • 2014
  • This paper proposes a new approach to the design of cruise control system of a mobile robot with two drive wheel. The proposed control scheme uses a Gaussian function as a unit function in the fuzzy neural network, and back propagation algorithm to train the fuzzy neural network controller in the framework of the specialized learning architecture. It is proposed a learning controller consisting of two neural network-fuzzy based on independent reasoning and a connection net with fixed weights to simply the neural networks-fuzzy. The performance of the proposed controller is shown by performing the computer simulation for trajectory tracking of the speed and azimuth of a mobile robot driven by two independent wheels.

ON CHOQUET INTEGRALS OF MEASURABLE FUZZY NUMBER-VALUED FUNCTIONS

  • Jung, Lee-Chae;Kim, Tae-Kyun;Jeon, Jong-Duek;Kim, Won-Ju
    • 대한수학회보
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    • 제41권1호
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    • pp.95-107
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    • 2004
  • In this paper, we consider fuzzy number-valued functions and fuzzy number-valued Choquet integrals. And we also discuss positively homogeneous and monotonicity of Choquet integrals of fuzzy number-valued functions(simply, fuzzy number-valued Choquet integrals). Furthermore, we prove convergence theorems for fuzzy number-valued Choquet integrals.

Renewal Reward Processes with Fuzzy Rewards and Fuzzy Inter-arrival Times

  • Hong, Dug-Hun;Do, Hae-Young;Park, Jin-Myeong
    • Journal of the Korean Data and Information Science Society
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    • 제17권1호
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    • pp.195-204
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    • 2006
  • In this paper, we consider a renewal process in which both the inter-arrival times and rewards are fuzzy random variables. We prove the uniform levelwise convergence of fuzzy renewal and fuzzy renewal rewards. These results improve the result of Popova and Wu[European J. Oper. Research 117(1999), 606-617] and the main result of Hwang [Fuzzy Sets and Systems 116 (2000), 237-244].

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COMPLETELY GENERALIZED MILDLY NONLINEAR COMPLEMENTARITY PROBLEMS FOR FUZZY MAPPINGS

  • Huang, Nan-Jing;Zhang, Wen-Bin
    • Journal of applied mathematics & informatics
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    • 제4권2호
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    • pp.309-322
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    • 1997
  • In this paper we introduce and study a new class of completely generalized mildly nonlinear complementarity problems for fuzzy mappings and construct some new iterative algorithms. We also show the existence of solution and the convergence of iterative sequences generated by the algorithm. Our results extend some recent results of Noor, Chang and huang.

On Paranormed Type Fuzzy Real Valued Class of Sequences 2F(p)

  • Sen, Mausumi;Roy, Santanu
    • Kyungpook Mathematical Journal
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    • 제51권3호
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    • pp.345-352
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    • 2011
  • In this article we introduce the fuzzy real valued double sequence spaces $_2{\ell}^F$ (p) where p = ($p_{nk}$) is a double sequence of bounded strictly positive numbers. We study their different properties like completeness, solidness, symmetricity, convergence free etc. We prove some inclusion results also.

SAOR METHOD FOR FUZZY LINEAR SYSTEM

  • Miao, Shu-Xin;Zheng, Bing
    • Journal of applied mathematics & informatics
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    • 제26권5_6호
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    • pp.839-850
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    • 2008
  • In this paper, the symmetric accelerated overrelaxation (SAOR) method for solving $n{\times}n$ fuzzy linear system is discussed, then the convergence theorems in the special cases where matrix S in augmented system SX = Y is H-matrices or consistently ordered matrices and or symmetric positive definite matrices are also given out. Numerical examples are presented to illustrate the theory.

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A NOTE ON SET-VALUED FUZZY INTEGRALS

  • Hong, Dug-Hun;Kim, Kyung-Tae
    • Journal of applied mathematics & informatics
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    • 제19권1_2호
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    • pp.453-456
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    • 2005
  • It is known that the classical Fatou's lemma and Lebesgue convergence theorem do not require the assumption that J1. is finite. In this note, we show that the assumption $\mu$(X) < $\infty$ cannot be replaced with a weaker assumption to prove Fatou's lemma and Lebesgue convergence theorem for a sequence of set-valued measurable function suggested by Zhang and Wang (Fuzzy Sets and Systems 56(1993) 237-241).

학습시간을 개선한 Fuzzy c-means 알고리즘 (The Enhancement of Learning Time in Fuzzy c-means algorithm)

  • 김형철;조제황
    • 융합신호처리학회 학술대회논문집
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    • 한국신호처리시스템학회 2001년도 하계 학술대회 논문집(KISPS SUMMER CONFERENCE 2001
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    • pp.113-116
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    • 2001
  • The conventional K-means algorithm is widely used in vector quantizer design and clustering analysis. Recently modified K-means algorithm has been proposed where the codevector updating step is as fallows: new codevector = current codevector + scale factor (new centroid - current codevector). This algorithm uses a fixed value for the scale factor. In this paper, we propose a new algorithm for the enhancement of learning time in fuzzy c-means a1gorithm. Experimental results show that the proposed method produces codebooks about 5 to 6 times faster than the conventional K-means algorithm with almost the same Performance.

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Sequence Space m(M, φ)F of Fuzzy Real Numbers Defined by Orlicz Functions with Fuzzy Metric

  • Tripathy, Binod Chandra;Borgohain, Stuti
    • Kyungpook Mathematical Journal
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    • 제53권3호
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    • pp.319-332
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    • 2013
  • The sequence space $m(M,{\phi})^F$ of fuzzy real numbers is introduced. Some properties of this sequence space like solidness, symmetricity, convergence-free etc. are studied. We obtain some inclusion relations involving this sequence space.

Fuzzy Model Identification Using VmGA

  • Park, Jong-Il;Oh, Jae-Heung;Joo, Young-Hoon
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제2권1호
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    • pp.53-58
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    • 2002
  • In the construction of successful fuzzy models for nonlinear systems, the identification of an optimal fuzzy model system is an important and difficult problem. Traditionally, sGA(simple genetic algorithm) has been used to identify structures and parameters of fuzzy model because it has the ability to search the optimal solution somewhat globally. But SGA optimization process may be the reason of the premature local convergence when the appearance of the superior individual at the population evolution. Therefore, in this paper we propose a new method that can yield a successful fuzzy model using VmGA(virus messy genetic algorithms). The proposed method not only can be the countermeasure of premature convergence through the local information changed in population, but also has more effective and adaptive structure with respect to using changeable length string. In order to demonstrate the superiority and generality of the fuzzy modeling using VmGA, we finally applied the proposed fuzzy modeling methodof a complex nonlinear system.