• 제목/요약/키워드: Fuzzy mapping

검색결과 258건 처리시간 0.026초

A PERTURBED ALGORITHM OF GENERALIZED QUASIVARIATIONAL INCLUSIONS FOR FUZZY MAPPINGS

  • Jeong, Jae-Ug
    • East Asian mathematical journal
    • /
    • 제17권1호
    • /
    • pp.57-70
    • /
    • 2001
  • In this paper, we introduce a class of generalized quasivariational inclusions for fuzzy mappings and show its equivalence with a class of fixed point problems. Using this equivalence, we develop the Mann and Ishikawa type perturbed iterative algorithms for this class of generalized quasivariational inclusions. Further, we prove the existence of solutions for the class of generalized quasivariational inclusions and discuss the convergence criteria for the perturbed algorithms.

  • PDF

EMPLOYING GENERALIZED (𝜓, 𝜃, 𝜑)-CONTRACTION ON PARTIALLY ORDERED FUZZY METRIC SPACES WITH APPLICATIONS

  • Handa, Amrish
    • 한국수학교육학회지시리즈B:순수및응용수학
    • /
    • 제27권4호
    • /
    • pp.207-229
    • /
    • 2020
  • We establish fixed point and multidimensional fixed point results satisfying generalized (𝜓, 𝜃, 𝜑)-contraction on partially ordered non-Archimedean fuzzy metric spaces. By using this result we obtain the solution for periodic boundary value problems and give an example to show the degree of validity of our hypothesis. Our results generalize, extend and modify several well-known results in the literature.

THREE POINT BOUNDARY VALUE PROBLEMS FOR THIRD ORDER FUZZY DIFFERENTIAL EQUATIONS

  • Murty, M.S.N.;Kumar, G. Suresh
    • 충청수학회지
    • /
    • 제19권1호
    • /
    • pp.101-110
    • /
    • 2006
  • In this paper, we develop existence and uniqueness criteria to certain class of three point boundary value problems associated with third order nonlinear fuzzy differential equations, with the help of Green's functions and contraction mapping principle.

  • PDF

COMPLETELY GENERALIZED MILDLY NONLINEAR COMPLEMENTARITY PROBLEMS FOR FUZZY MAPPINGS

  • Huang, Nan-Jing;Zhang, Wen-Bin
    • Journal of applied mathematics & informatics
    • /
    • 제4권2호
    • /
    • pp.309-322
    • /
    • 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.

COMPATIBLE MAPS OF TWO TYPES AND COMMON FIXED POINT THEOREMS ON INTUITIONISTIC FUZZY METRIC SPACE

  • Park, Jong-Seo
    • 호남수학학술지
    • /
    • 제32권2호
    • /
    • pp.283-298
    • /
    • 2010
  • In this paper, we introduce the concept of compatible mapping of type(${\alpha}$-1) and type(${\alpha}$-2), prove the some properties and common fixed point theorem for such maps in intuitionistic fuzzy metric space. Also, we give the example. Our research are an extension for the results of Kutukcu and Sharma[3] and Park et.al.[11].

AN ITERATIVE ALGORITHM FOR EXTENDED GENERALIZED NONLINEAR VARIATIONAL INCLUSIONS FOR RANDOM FUZZY MAPPINGS

  • Dar, A.H.;Sarfaraz, Mohd.;Ahmad, M.K.
    • Korean Journal of Mathematics
    • /
    • 제26권1호
    • /
    • pp.129-141
    • /
    • 2018
  • In this slush pile, we introduce a new kind of variational inclusions problem stated as random extended generalized nonlinear variational inclusions for random fuzzy mappings. We construct an iterative scheme for the this variational inclusion problem and also discuss the existence of random solutions for the problem. Further, we show that the approximate solutions achieved by the generated scheme converge to the required solution of the problem.

고속 온라인 적응기능을 갖는 비선형 적응등화기 (A nonlinear adaptive equalizer with fast on-line adaptation)

  • 오덕길;최진영;이충웅
    • 전자공학회논문지A
    • /
    • 제32A권8호
    • /
    • pp.11-18
    • /
    • 1995
  • This paper proposes a nonlinear adaptive equalizer which is based on fuzzy rules and fuzzy inference of several affine mapping for the received channel data. The proposed nolonlinear adaptive equalizers with the significantly lower computational complexity. Also it can be applied to the on-line adaptation environments owing to its fast convergence characteristics and the lower computational load. When using the decision feedback vectors, this equaalizer can be easily realized in the form of the DFE structure with out the requirement for the perfect channel knowledge as in the case of the fuzzy adaptive filter.

  • PDF

적응 뉴로 퍼지추론 기법에 의한 비선형 시스템의 구조 동정에 관한 연구 (Structure Identification of Nonlinear System Using Adaptive Neuro-Fuzzy Inference Technique)

  • 이준탁;정형환;심영진;김형배;박영식
    • 한국지능시스템학회:학술대회논문집
    • /
    • 한국퍼지및지능시스템학회 1996년도 추계학술대회 학술발표 논문집
    • /
    • pp.298-301
    • /
    • 1996
  • This paper describes the structure Identification of nonlinear function using Adaptive Neuro-Fuzzy Inference Technique(ANFIS). Nonlinear mapping relationship between inputs and outputs were modeled by Sugeno-Takaki's Fuzzy Inference Method. Specially, the consequent parts were identified using a series of 1st order equations and the antecedent parts using triangular type membership function or bell type ones. According to learning Rules of ANFIS, adjustable parameters were converged rapidly and accurately.

  • PDF