• 제목/요약/키워드: fuzzy I-maps

검색결과 9건 처리시간 0.017초

FUZZY INTERIOR SPACES

  • Ramadan, A.A.;Abdel-Sattar, M.A.;Kim, Yong-Chan
    • 대한수학회보
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    • 제39권4호
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    • pp.617-633
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    • 2002
  • In this paper, we study some properties of fuzzy interior spaces. Also, we investigate the relations between fuzzy interior spaces and fuzzy topological spaces. In particular, we prove the existence of product fuzzy topological spaces and product fuzzy interior spaces. We investigate the relations between them.

The Linear Discrepancy of a Fuzzy Poset

  • Cheong, Min-Seok;Chae, Gab-Byung;Kim, Sang-Mok
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제11권1호
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    • pp.59-64
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    • 2011
  • In 2001, the notion of a fuzzy poset defined on a set X via a triplet (L, G, I) of functions with domain X ${\times}$ X and range [0, 1] satisfying a special condition L+G+I = 1 is introduced by J. Negger and Hee Sik Kim, where L is the 'less than' function, G is the 'greater than' function, and I is the 'incomparable to' function. Using this approach, we are able to define a special class of fuzzy posets, and define the 'skeleton' of a fuzzy poset in view of major relation. In this sense, we define the linear discrepancy of a fuzzy poset of size n as the minimum value of all maximum of I(x, y)${\mid}$f(x)-f(y)${\mid}$ for f ${\in}$ F and x, y ${\in}$ X with I(x, y) > $\frac{1}{2}$, where F is the set of all injective order-preserving maps from the fuzzy poset to the set of positive integers. We first show that the definition is well-defined. Then, it is shown that the optimality appears at the same injective order-preserving maps in both cases of a fuzzy poset and its skeleton if the linear discrepancy of a skeleton of a fuzzy poset is 1.

CONTINUITY OF FUZZY PROPER FUNCTIONS ON SOSTAK'S I-FUZZY TOPOLOGICAL SPACES

  • Roopkumar, Rajakumar;Kalaivani, Chandran
    • 대한수학회논문집
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    • 제26권2호
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    • pp.305-320
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    • 2011
  • The relations among various types of continuity of fuzzy proper function on a fuzzy set and at fuzzy point belonging to the fuzzy set in the context of $\v{S}$ostak's I-fuzzy topological spaces are discussed. The projection maps are defined as fuzzy proper functions and their properties are proved.

Fixed Point Theorem for Compatible Maps with Type(I) and (II) in Intuitionistic Fuzzy Metric Space

  • Park, Jong-Seo
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제10권3호
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    • pp.194-199
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    • 2010
  • In this paper, we give definitions of compatible mappings of type(I) and (II) in intuitionistic fuzzy metric space and obtain common fixed point theorem and example under the conditions of compatible mappings of type(I) and (II) in complete intuitionistic fuzzy metric space. Our research generalize, extend and improve the results given by many authors.

Design of Fault Diagnosis Expert System Using Improved Fuzzy Cognitive Maps and Rough Set Based Rule Minimization

  • 이종필;변증남
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 1997년도 추계학술대회 학술발표 논문집
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    • pp.315-320
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    • 1997
  • Rule minimization technique adapted from rough set theory was applied to remove redundant knowledge which is not necessary to make a knowledge base. New algorithm to diagnose fault using Improved Fuzzy Cognitive Maps(I-FCMs), and Fuzzy Associative Memory(FAM) is proposed. I-FCM[22] is superior to gathering knowledge from many experts and descries dynamic behaviors of systems very well. I-FCM is not only a knowledge base, but also a inference engine. FAM has learning capability like neural network[12]. Rule minimization and composition of I-FCM and FAM make it possible to construct compact knowledge base and breaks the border between inference engine and knowledge base.

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Fuzzy-based multiple decision method for landslide susceptibility and hazard assessment: A case study of Tabriz, Iran

  • Nanehkaran, Yaser A.;Mao, Yimin;Azarafza, Mohammad;Kockar, Mustafa K.;Zhu, Hong-Hu
    • Geomechanics and Engineering
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    • 제24권5호
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    • pp.407-418
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    • 2021
  • Due to the complexity of the causes of the sliding mass instabilities, landslide susceptibility and hazard evaluation are difficult, but they can be more carefully considered and regionally evaluated by using new programming technologies to minimize the hazard. This study aims to evaluate the landslide hazard zonation in the Tabriz region, Iran. A fuzzy logic-based multi-criteria decision-making method was proposed for susceptibility analysis and preparing the hazard zonation maps implemented in MATLAB programming language and Geographic Information System (GIS) environment. In this study, five main factors have been identified as triggering including climate (i.e., precipitation, temperature), geomorphology (i.e., slope gradient, slope aspect, land cover), tectonic and seismic parameters (i.e., tectonic lineament congestion, distribution of earthquakes, the unsafe radius of main faults, seismicity), geological and hydrological conditions (i.e., drainage patterns, hydraulic gradient, groundwater table depth, weathered geo-materials), and human activities (i.e., distance to roads, distance to the municipal areas) in the study area. The results of analyses are presented as a landslide hazard map which is classified into 5 different sensitive categories (i.e., insignificant to very high potential). Then, landslide susceptibility maps were prepared for the Tabriz region, which is categorized in a high-sensitive area located in the northern parts of the area. Based on these maps, the Bozgoosh-Sahand mountainous belt, Misho-Miro Mountains and western highlands of Jolfa have been delineated as risk-able zones.

Emotion Architecture 적용 사례 분석에 관한 연구 (A Study on Analysis of Cases of Application of Emotion Architecture)

  • 윤호창;오정석;전현주
    • 한국콘텐츠학회:학술대회논문집
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    • 한국콘텐츠학회 2003년도 추계종합학술대회 논문집
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    • pp.447-453
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    • 2003
  • Emotion을 이용한 컴퓨터 인공 지능, 그래픽, 로봇, 상호 작용 등 다양한 분야에 나타나고 있다. 이에 각 분야에 적용되어진 이론적 배경과, 적용의 특징, 기술 등을 본 글에서 다루고자 한다. 먼저 이론적 접근방식에 있어서는 심리학적 접근과, 사람의 감정 연구, Behavior-Bas설 접근, 생물 행동적 접근, 등이 있으며 이를 구현하기 위한 기술로는 학습 알고리즘, Neural Network 의 Self-Organizing Maps, Fuzzy Cognition Maps등이 있다. 적용 분야로는 Software Agent, Agent Robot과 Entrainment Robot 등이 있다. 본 글에서는 이들의 적용 사례들을 살펴보고 Emotion Architecture에 대해서 분석하고자 한다.

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보행 프리미티브 기반 휴머노이드 로봇의 퍼지 보행 계획 (Fuzzy Footstep Planning for Humanoid Robots Using Locomotion Primitives)

  • 김용태;노수희;한남이
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2007년도 춘계학술대회 학술발표 논문집 제17권 제1호
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    • pp.7-10
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    • 2007
  • This paper presents a fuzzy footstep planner for humanoid robots in complex environments. First, we define locomotion primitives for humanoid robots. A global planner finds a global path from a navigation map that is generated based on a combination of 2.5 dimensional maps of the 3D workspace. A local planner searches for an optimal sequence of locomotion primitives along the global path by using fuzzy footstep planning. We verify our approach on a virtual humanoid robot in a simulated environment. Simulation results show a reduction in planning time and the feasibility of the proposed method.

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3차원 MR 영상으로부터의 한국인 뇌조직확률지도 개발 (Development of Korean Tissue Probability Map from 3D Magnetic Resonance Images)

  • Jung Hyun, Kim;Jong-Min, Lee;Uicheul, Yoon;Hyun-Pil, Kim;Bang Bon, Koo;In Young, Kim;Dong Soo, Lee;Jun Soo, Kwon;Sun I., Kim
    • 대한의용생체공학회:의공학회지
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    • 제25권5호
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    • pp.323-328
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    • 2004
  • 대뇌조직 구분을 위한 실험적인 정보를 제공하기 위한 뇌조직 확률 지도를 개발하는 경우 개인마다 구조적으로 다양한 형태를 가진 뇌의 특성과 특히 인종간의 두드러진 차이론 반드시 고려해야 한다 본 연구에서는 특정 그룹에 대한 뇌조직 확률 지도를 제작하는데 필요한 절차를 알아보고 나이에 따른 그룹간의 뇌조직 확률 지도의 구조적인 차이를 살펴보고자 한다 피험자 그룹은 100명의 건강한 한국인이며 나이에 따라 두 그룹으로 분류하였다. 뇌 확률 지도의 기준 좌표계를 설정하기 위해 전체 그룹 내의 모든 피험자의 뇌 영상에 대한 평균 영상을 구하고, 각 뇌 영상을 기준 좌표계로 정규화 시킨다. 정규화 과정에서 얻어진 변환 매개 변수를 미리 각 뇌조직(회질, 백질, 뇌척수액)으로 분할된 피험자의 영상에 적용하고 각 그룹 내에서 변환된 뇌 조직 영상을 평균함으로써 뇌 조직 확률 지도를 완성하였다. 나이에 따른 구조적인 차이를 살펴보기 위해 그룹간 확률 값의 차이 영상을 구하였다. 이전 연구결과에서와 마찬가지로 나이가 증가함에 따라 뇌실이 확대되고 회질의 위축이 전체적인 뇌 영역에서 일어났다. 그러므로 우리는 대뇌 조직 분할을 위해 설험적인 정보들을 사용하고자 할 때는 특정 그룹에 대한 뇌 확률 지도를 사용할 것을 제안한다.