• Title/Summary/Keyword: extension theory

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FUZZY SET THEORY APPLIED TO IMPLICATIVE IDEALS IN BCK-ALGEBRAS

  • Jun, Young-Bae;Song, Seok-Zun
    • Bulletin of the Korean Mathematical Society
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    • v.43 no.3
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    • pp.461-470
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    • 2006
  • As a continuation of [4], characterizations of fuzzy implicative ideals are given. An extension property for fuzzy implicative ideals is established. We prove that the family of fuzzy implicative ideals is a completely distributive lattice. Using level subsets of a BCk-algebra X with respect to a fuzzy set $\={A}$ in X, we construct a fuzzy implicative ideal of X containing $\={A}$.

Analysis of Graphs Using the Signal Flow Matrix (신호 흐름 행렬에 의한 그래프 해석)

  • 김정덕;이만형
    • 전기의세계
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    • v.22 no.4
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    • pp.25-29
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    • 1973
  • The computation of transmittances between arbitrary input and output nodes is of particular interest in the signal flow graph theory imput. The signal flow matrix [T] can be defined by [X]=-[T][X] where [X] and [Y] are input nose and output node matrices, respectively. In this paper, the followings are discussed; 1) Reduction of nodes by reforming the signal flow matrix., 2) Solution of input-output relationships by means of Gauss-Jordan reduction method, 3) Extension of the above method to the matrix signal flow graph.

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A GENERALIZED COMMON FIXED POINT THEOREM FOR TWO FAMILIES OF SELF-MAPS

  • PHANEENDRA, T.
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.6
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    • pp.1839-1854
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    • 2015
  • Brief developments in metrical fixed point theory are covered and a significant generalization of recent results obtained in [18], [27], [32] and [33] is established through an extension of the property (EA) to two sequences of self-maps using the notions of weak compatibility and implicit relation.

Dynamic CBDT : Extension of CBDT via Reinforcement Method of Q-learning (Dynamic CBDT : Q-learning의 강화기법을 응용한 CBDT 확장 기법)

  • Jin, Y.K.;Chang, H.S.
    • Proceedings of the Korean Information Science Society Conference
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    • 2006.10b
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    • pp.194-199
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    • 2006
  • 본 논문에서는 불확실한 환경 상에서의 의사결정 알고리즘인 "Case-based Decision Theory" (CBDT) 알고리즘을 dynamic하게 연동되는 연속된 의사결정 문제에 대하여 강화학습의 대표적인 Q-learning의 강화기법을 응용하여 확장한 새로운 의사결정 알고리즘 "Dynamic CBDT"를 제안하고, CBDT알고리즘에 대한 Dynamic CBDT의 효율성을 테트리스 실험을 통하여 확인한다.

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Schur Multipliers and Cohomology of Finite Groups

  • LEE, YEANG-SOO
    • Honam Mathematical Journal
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    • v.1 no.1
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    • pp.43-49
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    • 1979
  • G를 유한군으로, C를 모든 복소수체로 가정하고, V를 C상에서의 유한차원 벡터공간이라 하자. V상에서의 G의 사영적 표시는, X, $y{\epsilon}G$이고 ${\alpha}:\;G{\times}G{\rightarrow}C$를 Facto set이라 할 때 $T(x)T(y)=T(xy){\alpha}(x,y)$이 되는 함수 $T=\;G{\rightarrow}GL(V)$를 말한다. 본 논문의 목적은 군에 대한 Extension theory를 사용해서, G상의 factor set들의 동치류들은 G의 Second Cohomology group과 동형이라는 것을 증명하는 것이다.

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A NOTE ON THE MAXIMUM ENTROPY WEIGHTING FUNCTION PROBLEM

  • Hong, Dug-Hun;Kim, Kyung-Tae
    • Journal of applied mathematics & informatics
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    • v.23 no.1_2
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    • pp.547-552
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    • 2007
  • In this note, we extends some of the results of Liu [Fuzzy Sets and systems 157 (2006) 869-878]. This extension consists of a simple proof involving weighted functions and their preference index. We also give an elementary simple proof of the maximum entropy weighting function problem with a given preference index value without using any advanced theory like variational principles or without using Lagrangian multiplier methods.

A SEXTIC-ORDER VARIANT OF DOUBLE-NEWTON METHODS WITH A SIMPLE BIVARIATE WEIGHTING FUNCTION

  • Kim, Young Ik
    • Journal of the Chungcheong Mathematical Society
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    • v.27 no.3
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    • pp.513-521
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    • 2014
  • Via extension of the classical double-Newton method, we propose high-order family of two-point methods in this paper. Theoretical and computational properties of the proposed methods are fully investigated along with a main theorem describing methodology and convergence analysis. Typical numerical examples are thoroughly treated to verify the underlying theory.

Distributivity of fuzzy numbers

  • Hong, Dug-Hun
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2002.12a
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    • pp.22-24
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    • 2002
  • Computation with fuzzy numbers is a prospective branch of a fuzzy set theory regarding the data processing applications. In this paper we consider an open problem about distributivity of fuzzy Quantities based on the extension principle suggested by Mares (1997). Indeed, we show that the distributivity on the class of fuzzy numbers holds and min-norm is the only continuous f-norm which holds the distributivity under f-norm based fuzzy arithmetic operations.

Spectral Element Modeling of an Extended Timoshenko Beam: Variational Approach (변분법을 이용한 확장된 티모센코 보에 대한 스펙트럴 요소 모델링)

  • Lee, Chang-Ho;Lee, U-Sik
    • Proceedings of the KSR Conference
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    • 2008.11b
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    • pp.1403-1406
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    • 2008
  • Periodic lattice structures such as the large space lattice structures and carbon nanotubes may take the extension-transverse shear-bending coupled vibrations, which can be well represented by the extended Timoshenko beam theory. In this paper, the spectrally formulated finite element model (simply, spectral element model) has been developed for extended Timoshenko beams and applied to some typical periodic lattice structures such as the armchair carbon nanotube, the periodic plane truss, and the periodic space lattice beam.

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OPERATIONAL IDENTITIES FOR HERMITE-PSEUDO LAGUERRE TYPE MATRIX POLYNOMIALS AND THEIR APPLICATIONS

  • Bin-Saad, Maged G.;Pathan, M.A.
    • Honam Mathematical Journal
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    • v.41 no.1
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    • pp.35-49
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    • 2019
  • In this work, it is shown that the combination of operational techniques and the use of the principle of quasi-monomiality can be a very useful tool for a more general insight into the theory of matrix polynomials and for their extension. We explore the formal properties of the operational rules to derive a number of properties of certain class of matrix polynomials and discuss the operational links with various known matrix polynomials.