• 제목/요약/키워드: fuzzy mathematics

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APPLICATION OF NEW CONTRACTIVE CONDITION IN INTEGRAL EQUATION

  • Amrish Handa;Dinesh Verma
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제31권1호
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    • pp.83-102
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    • 2024
  • In this paper, first we establish a unique common fixed point theorem satisfying new contractive condition on partially ordered non-Archimedean fuzzy metric spaces and give an example to support our result. By using the result established in the first section of the manuscript, we formulate a unique common coupled fixed point theorem and also give an example to validate our result. In the end, we study the existence of solution of integral equation to verify our hypothesis. These results generalize, improve and fuzzify several well-known results in the existing literature.

Fuzzy logic model for the prediction of concrete compressive strength by incorporating green foundry sand

  • Rashid, Khuram;Rashid, Tabasam
    • Computers and Concrete
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    • 제19권6호
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    • pp.617-623
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    • 2017
  • This work is conducted with the aim of using waste material to reserve the natural resources. The objective is accomplished by conducting experimentation and verify by modeling based on fuzzy logic. In experimentation, concrete is casted by using natural/river sand as fine aggregate and termed as control specimen. Natural sand is conserved by replacing it with used foundry sand (UFS) by an amount of 10, 20 and 30% by weight. Fresh and hardened properties of concrete are investigated at different ages. It is observed that compressive strength and modulus of elasticity reduced with the increase in amount of UFS. Furthermore, concrete compressive strength is predicted by using fuzzy logic model and verified at different replacement ratio and age with experimental observations.

A Note on Intuitionistic Fuzzy Subgroups

  • 안태천;장경원;노석범;허걸
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2005년도 추계학술대회 학술발표 논문집 제15권 제2호
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    • pp.496-499
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    • 2005
  • In this paper, We discuss various types of sublattice of the lattice of intuitionistic fuzzy subgroups of a given group. We Prove that a special class of intuitionistic fuf normal subgroups constitutes a modular sublattice of the lattice of intuitionistic fuzzy subgroups. Moreover, we exhibit the relationship of the sublattices of the lattice of intuitionistic fuzzy subgroups.

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THE AUTOCONTINUITY OF MONOTONE INTERVAL-VALUED SET FUNCTIONS DEFINED BY THE INTERVAL-VALUED CHOQUET INTEGRAL

  • Jang, Lee-Chae
    • 호남수학학술지
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    • 제30권1호
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    • pp.171-183
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    • 2008
  • In a previous work [18], the authors investigated autocontinuity, converse-autocontinuity, uniformly autocontinuity, uniformly converse-autocontinuity, and fuzzy multiplicativity of monotone set function defined by Choquet integral([3,4,13,14,15]) instead of fuzzy integral([16,17]). We consider nonnegative monotone interval-valued set functions and nonnegative measurable interval-valued functions. Then the interval-valued Choquet integral determines a new nonnegative monotone interval-valued set function which is a generalized concept of monotone set function defined by Choquet integral in [18]. These integrals, which can be regarded as interval-valued aggregation operators, have been used in [10,11,12,19,20]. In this paper, we investigate some characterizations of monotone interval-valued set functions defined by the interval-valued Choquet integral such as autocontinuity, converse-autocontinuity, uniform autocontinuity, uniform converse-autocontinuity, and fuzzy multiplicativity.

A Fuzzy Differential Diagnosis of Headache

  • Kim, Young-Hyun;Kim, Soon-Ki;Oh, Sun-Young;Ahn, Jeong-Yong
    • Journal of the Korean Data and Information Science Society
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    • 제18권2호
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    • pp.429-438
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    • 2007
  • Headache is one of the most common reasons for neurological consultation. Headache as many causes and symptoms. Therefore, screening method using questionaire is helpful in diagnosis of headache. This paper is to propose a medical diagnostic method to grasp patient's diseases using the relations between symptoms and diseases. For this purpose, we develop an interview chart assigned IF(intuitionistic fuzzy) grade with the relation among symptoms and three labels of headache. The method can be used to classify patient's tone of diseases with certain degrees of belief and its concerned symptoms.

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Information measures for generalized hesitant fuzzy information

  • 박진한;곽희은;권영철
    • 한국지능시스템학회논문지
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    • 제26권1호
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    • pp.76-81
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    • 2016
  • In this paper, we present the entropy and similarity measure for generalized hesitant fuzzy information, and discuss their desirable properties. Some measure formulas are developed, and the relationships among them are investigated. We show that the similarity measure and entropy for generalized hesitant fuzzy information can be transformed by each other based on their axiomatic definitions. Furthermore, an approach of multiple attribute decision making problems where attribute weights are unknown and the evaluation values of attributes for each alternative are given in the form of GHFEs is investigated.

구간치 퍼지집합상에서 쇼케이적분에 의해 정의된 엔트로피에 관한 연구 (A note on entropy defined by Choquet integral on interval-valued fuzzy sets)

  • 장이채
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2006년도 추계학술대회 학술발표 논문집 제16권 제2호
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    • pp.157-160
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    • 2006
  • 본 논문에서 우리는 Wang와 Li(1998)와 Turksen(1986)에 의해 소개된 구간치 퍼지집합을 생각하고 구간치 퍼지집합상에서 쇼케이적분에 의해 정의된 엔트로피를 조사한다. 더욱이 이러한 엔트로피와 관련된 성질들을 토의하고 간단한 예들을 알아본다.

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불확실성의 수학 : 확률론과 개연론 (Mathematics of Uncertainty: Probability and Possibility)

  • 고영미;이상욱
    • 한국수학사학회지
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    • 제25권1호
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    • pp.1-13
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    • 2012
  • 수학은 엄밀성을 강조하는 학문이다. 그러나 사회가 복잡해지고 정보가 많아지면서 수학이 엄밀하지 않은 정보를 다루어야 하는 요구가 발생하게 되었다. 최근 이러한 불확실성을 갖는 정보를 엄밀성을 갖춘 정보로 변환하는 수단으로서 개연론에 대한 연구가 진행되고 있다. 본 논문은 임의성 (randomness) 을 다루는 확률론 (probability theory)과 비교하여 모호성 (vagueness) 을 다루는 개연론 (possibility theory) 을 개괄한다.

프로젝트 성과요인에 대한 퍼지구조분석 (Fuzzy Structure Analysis for Factors of Project Performance)

  • 황승국;박영만;박광박
    • 한국지능시스템학회논문지
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    • 제22권1호
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    • pp.114-118
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    • 2012
  • 본 연구는 시스템의 구조 인식에 유효한 FSM을 이용하여 기업프로젝트 성과요인에 대한 층별 구조는 알 수 있지만 각 층에 속해 있는 성과요인에 대한 층별 간의 관계에 대해서는 알 수 없다는 관점에서 퍼지시스템을 이용하여 기업프로젝트 성과요인의 층별 관계에 대한 구조를 분석하고자 한다. 최하층과 중간층, 중간층과 최상층과의 관계를 가능적인 면과 필연적인 면이 섞여 있는 형태의 기업프로젝트 평가모델을 이용하여 구한 퍼지관계행렬로서 퍼지관계분석을 행하고 그 유용성을 보였다.

Entropy and Similarity Measure of Interval-valued Intuitionistic Fuzzy Sets

  • Park, Jin-Han;Lim, Ki-Moon;Park, Jong-Seo;Kwun, Young-Chel
    • 한국지능시스템학회:학술대회논문집
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    • 한국지능시스템학회 2007년도 추계학술대회 학술발표 논문집
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    • pp.187-190
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    • 2007
  • In this paper, we introduce concepts of entropy and similarity measure of interval-valued intuitionistic fuzzy sets (IVIFSs), discuss their relationship between similarity measure and entropy of IVIFSs, show that similarity measure and entropy of IVIFSs can be transformed by each other based on their axiomatic definitions and give some formulas to calculate entropy and similarity measure of IVIFSs.

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