• Title/Summary/Keyword: T-norm

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Fuzzy Relations and Metrics

  • Kim, Yong-Chan;Kim, Young-Sun
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.9 no.1
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    • pp.30-35
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    • 2009
  • We investigate the properties of fuzzy relations, metrics and $\bigodot$-equivalence relation on a stsc quantale lattice L and a commutative cqm-lattice. In particular, pseudo-(quasi-) metrics induce $\bigodot$-(quasi)-equivalence relations.

FIXED POINT THEOREMS IN FUZZY METRIC SPACES FOR MAPPINGS WITH SOME CONTRACTIVE TYPE CONDITIONS

  • Patir, Bijoy;Goswami, Nilakshi;Mishra, Lakshmi Narayan
    • Korean Journal of Mathematics
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    • v.26 no.2
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    • pp.307-326
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    • 2018
  • In this paper, we derive some fixed point theorems in fuzzy metric spaces for self mappings satisfying different contractive type conditions. Some of these theorems generalize some results of Wairojjana et al. (Fixed Point Theory and Applications (2015) 2015:69). Several examples in support of the theorems are also presented here.

FIXED POINTS OF CONVERSE COMMUTING MAPPINGS USING AN IMPLICIT RELATION

  • Chauhan, Sunny;Khan, M. Alamgir;Sintunavarat, Wutiphol
    • Honam Mathematical Journal
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    • v.35 no.2
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    • pp.109-117
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    • 2013
  • In the present paper, we utilize the notion of converse commuting mappings due to L$\ddot{u}$ [On common fixed points for converse commuting self-maps on a metric spaces, Acta. Anal. Funct. Appl. 4(3) (2002), 226-228] and prove a common fixed point theorem in Menger space using an implicit relation. We also give an illustrative example to support our main result.

A Self-Organizing Fuzzy Logic Controller with Hybrid Structure (하이브리드 구조의 자기구성 퍼지제어기)

  • 이평기;박상배
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1998.03a
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    • pp.31-34
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    • 1998
  • 본 논문에서는 하이브리드 구조를 가지는 자기구성 퍼지제어기를 제안한다. 제안한 방법은 FARMA 제어기에 비해 다음과 같은 장점을 가진다. 하이브리드 구조를 자기구성 퍼지논리 제어기에 도입하므로써 예측출력값을 구할 때 까지의 입축력정보의 부재로 인한 나쁜 응답성능을 개선할 수 있다. 또한 이 방법은 Yager의 t-norm을 이용하여 계산상의 복잡성을 피하고 규칙들의 가중치를 구하기 위해 필요한 Dmax선정의 어려움을 해결한다.

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On the Intuitionistic Fuzzy Metric Spaces (직관적 퍼지거리공간에 관하여)

  • Park Jin Han;Saadati R,
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2005.04a
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    • pp.157-160
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    • 2005
  • In this paper, we define precompact set in intuitionistic fuzzy metric spaces and prove that any subset of an intuitionistic fuzzy metric space is compact if and only if it is precompact and complete. Also we define topologically complete intuitionistic fuzzy metrizable spaces and prove that any $G\delta$ set in a complete intuitionistic fuzzy metric spaces is a topologically complete intuitionistic fuzzy metrizable space and vice versa.

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EXTENSIONS OF BANACH'S AND KANNAN'S RESULTS IN FUZZY METRIC SPACES

  • Choudhur, Binayak S.;Das, Krishnapada;Das, Pradyut
    • Communications of the Korean Mathematical Society
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    • v.27 no.2
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    • pp.265-277
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    • 2012
  • In this paper we establish two common fixed point theorems in fuzzy metric spaces. These theorems are generalisations of the Banach contraction mapping principle and the Kannan's fixed point theorem respectively in fuzzy metric spaces. Our result is also supported by examples.

Determinants of Nurses' Handwashing Practice (일 대학병원 간호사의 손씻기 행위 결정요인)

  • Lee, Mi-Ra;So, Hee-Young;Cho, Mee-Kyung
    • Korean Journal of Adult Nursing
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    • v.17 no.2
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    • pp.268-275
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    • 2005
  • Purpose: The purpose of this study was to determine handwashing-related factors in nurses. Specific purposes of this study were to examine 1) the applicability of the hypothetical model constructed for this study, on the basis of Theory of Planned Behavior(TPB), and 2) relationships between handwashing practice and other variables such as age, career, level of education, and level of recognition about handwashing. Method: Data were collected from 187 nurses in one university hospital in Kyung-Ki province. Result: The hypothetical model based on TPB was revealed applicable, but the degree of the variance explaining handwashing practice was small(26%). Perceived behavioral control(PBC) was the most strong variable explaining handwashing practice, and intention didn't have a significant effect on handwashing practice. Norm and PBC had significant effects on intention, but attitude was not a significant factor of intention. Age, career, and the level of awareness of handwashing practice were significantly related to handwashing practice. Conclusion: The result of this study suggests that we should focus on perceived behavioral control, awareness of handwashing practice and subjective norm about handwashing practice to increase the level of nurses' handwashing practice.

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Observer-Based Digital fuzzy Controller Design Using Digital Redesign (디지털 재설계를 이용한 관측기 기반 디지털 퍼지 제어기 설계)

  • Lee, Ho-Jae;Joo, Young-Hoon;Park, Jin-Bae
    • Journal of the Korean Institute of Intelligent Systems
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    • v.13 no.5
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    • pp.520-525
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    • 2003
  • This paper concerns a design methodology of observer-based output-feedback digital controller for Takagi-Sugeno(TS) fuzzy systems using intelligent digital redesign (IDR). The term of IDR involves converting an analog fuzzy-mode-based controller into an equivalent digital one in the sense of state-matching. The considered IDR problem is viewed as convex minimization problems of the norm distances between linear operators to be matched. The stability condition is easily embedded and the separations principle is explicitly shown.