• 제목/요약/키워드: fuzzy point

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Fixed Point Theorems for Weakly Compatible Functions using (JCLR) Property in Intuitionistic Fuzzy Metric Space

  • Park, Jong Seo
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제12권4호
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    • pp.296-299
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    • 2012
  • In this paper, we give definitions for common limit in the range property of mappings and obtain common fixed point theorem for a pair of weakly compatible functions in intuitionistic fuzzy metric space using the joint common limit in the range property of mappings(shortly, (JCLR) property). Our results improve and generalize results of Chauhan et al[1].

A FIXED POINT APPROACH TO STABILITY OF ADDITIVE FUNCTIONAL INEQUALITIES IN FUZZY NORMED SPACES

  • Kim, Chang Il;Park, Se Won
    • 충청수학회지
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    • 제29권3호
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    • pp.453-464
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    • 2016
  • In this paper, we investigate the solution of the following functional inequality $$N(f(x)+f(y)+f(z),t){\geq}N(f(x+y+z),mt)$$ for some fixed real number m with $\frac{1}{3}$ < m ${\leq}$ 1 and using the fixed point method, we prove the generalized Hyers-Ulam stability for it in fuzzy Banach spaces.

COMMON COUPLED FIXED FOINT THEOREMS FOR NONLINEAR CONTRACTIVE CONDITION ON INTUITIONISTIC FUZZY METRIC SPACES WITH APPLICATION TO INTEGRAL EQUATIONS

  • Deshpande, Bhavana;Sharma, Sushil;Handa, Amrish
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제20권3호
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    • pp.159-180
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    • 2013
  • We establish a common fixed point theorem for mappings under ${\phi}$-contractive conditions on intuitionistic fuzzy metric spaces. As an application of our result we study the existence and uniqueness of the solution to a nonlinear Fredholm integral equation. We also give an example to validate our result.

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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    • 제30권2호
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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.

퍼지자료에 관한 퍼지가설의 통계적 검정 (On statistical testing for fuzzy hypotheses with fuzzy data)

  • 최규탁;이창은;강만기
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2000년도 추계학술대회 학술발표 논문집
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    • pp.255-258
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    • 2000
  • We prepose fuzzy statistical test of fuzzy hypotheses membership function with fuzzy number data. Finding the maximum grade of the meeting point for fuzzy hypotheses membership function and membership function of confidence interval. By the maximum grade, we obtain the results to acceptance or reject for the test of fuzzy hypotheses.

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최적 경유점 선택 방법을 이용한 이동로봇의 반응적 주행 (Reactive navigation of mobile robots using optmal via-point selection method)

  • 김경훈;조형석
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1997년도 한국자동제어학술회의논문집; 한국전력공사 서울연수원; 17-18 Oct. 1997
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    • pp.227-230
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    • 1997
  • In this paper, robot navigation experiments with a new navigation algorithm are carried out in real environments. The authors already proposed a reactive navigation algorithm for mobile robots using optimal via-point selection method. At each sampling time, a number of via-point candidates is constructed with various candidates of heading angles and velocities. The robot detects surrounding obstacles, and the proposed algorithm utilizes fuzzy multi-attribute decision making in selecting the optimal via-point the robot would proceed at next step. Fuzzy decision making allows the robot to choose the most qualified via-point even when the two navigation goals-obstacle avoidance and target point reaching-conflict each other. The experimental result shows the successful navigation can be achieved with the proposed navigation algorithm for real environments.

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