• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제4권1호
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• pp.39-48
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• 2000

In this paper we define T-fuzzy integrals of set-valued mappings, which are extensions of fuzzy integrals of the single-valued functions defined by Sugeno. And we discuss their properties.

• 충청수학회지
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• 제18권1호
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• pp.33-39
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• 2005

In this paper, we prove the existence of a common random fixed point of two random multivalued generalized contractions by using functional expressions.

• 한국수자원학회논문집
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• 제56권3호
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• pp.195-210
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• 2023

국내 대하천은 2010년 대규모 정비사업 이후 자연적 안정화를 위한 추가 재퇴적 및 침식이 진행 중에 있어 정밀 하상 모니터링이 요구되고 있다. 초분광수심법은 저수심의 고해상도 하천 수심측정 측면에서 종래의 접촉식 수심측정 기법을 대체하거나 보완할 수 있는 방법으로 각광을 받기 시작하였다. 본 연구는 초분광수심법에서 대표적인 최적밴드비기법을 소개하고 국내 대하천인 낙동강과 황강 합류부에서 평수기 전형적인 탁도조건에서 초분광수심법을 적용하여 수심맵을 산정하여 국내 하천으로의 적용성을 평가하였다. 이를 위해 수심영역별 최적밴드비기법으로 도출되는 상관도와 평균제곱근오차를 적용하여 최대측정가능수심을 산정하였고 최대추정가능수심 이상은 관계식 구축 시와 수심맵 산정 시 제외시켰다. 그리고 수심과 최적밴드비 관계(d-X)에 비선형성을 검토하여 적용하였다. 국내 대하천인 낙동강-황강 합류부에 적용한 결과는 다음과 같다. 첫째, 초분광수심법은 주로 저수심부에서 정밀한 수심맵을 효율적으로 산정할 수 있음을 보여주었고 최대측정가능수심은 통상적 탁도에서 낙동강의 경우 2.5 m로 나타났고, 탁도가 높은 지류의 경우 1.25 m로 나타났다. 둘째, 최대측정가능수심은 초분광수심법 하상 도출 시 다양한 시나리오의 배제수심을 고려하여 산정 및 적용되어야 하고, 이때 최적밴드비기법 적용 시 평균제곱근오차가 기존의 상관도 방식에 비해 최대측정가능수심 산정에 우수하였다. 셋째, 황강 합류부의 탁도가 높아 측정가능수심이 인근 낙동강에 비해 절반으로 낮아져 초분광수심법은 탁도가 높은 환경일 경우 한계가 있음을 확인하였다.

• 한국지능시스템학회:학술대회논문집
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• 한국퍼지및지능시스템학회 1998년도 The Third Asian Fuzzy Systems Symposium
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• pp.380-386
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• 1998

In this paper we introduce the concept of fuzzy integrals for set-valued mappings, which is an extension of fuzzy integrals for single-valued functions defined by Sugeno. And we give some properties including convergence theorems on fuzzy integrals for set-valued mappings.

• East Asian mathematical journal
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• 제32권5호
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• pp.685-700
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• 2016

The main object of this work to introduced and studied a new class of fuzzy general nonlinear ordered random variational inequalities in ordered Banach spaces. By using the random B-restricted accretive mapping with measurable mappings ${\alpha},{\alpha}^{\prime}:{\Omega}{\rightarrow}(0,1)$, an existence of random solutions for this class of fuzzy general nonlinear ordered random variational inequality (equation) with fuzzy mappings is established, a random approximation algorithm is suggested for fuzzy mappings, and the relation between the first value $x_0(t)$ and the random solutions of fuzzy general nonlinear ordered random variational inequality is discussed.

• 대한수학회보
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• 제45권4호
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• pp.729-737
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• 2008

In this paper we characterize multi-Jensen functions f : $V^n\;{\rightarrow}\;W$, where n is a positive integer, V, W are commutative groups and V is uniquely divisible by 2. Moreover, under the assumption that f : $\mathbb{R}\;{\rightarrow}\;\mathbb{R}$ is Borel measurable, we obtain representation of f (respectively, f, g, h : $\mathbb{R}\;{\rightarrow}\;\mathbb{R}$) such that the Jensen difference $$2f\;\(\frac{x\;+\;y}{2}\)\;-\;f(x)\;-\;f(y)$$ (respectively, the Pexider difference $$2f\;\(\frac{x\;+\;y}{2}\)\;-\;g(x)\;-\;h(y))$$ takes values in a countable subgroup of $\mathbb{R}$.

• 한국환경복원기술학회지
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• 제17권4호
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• pp.29-41
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• 2014

The Korean government has purchased land properties alongside any significant water bodies before setting up the buffers to secure water qualities. Since the annual budgets are limited, however, there has always been the issue of which land parcels ought to be given the priority. Therefore, this study aims to develop efficient mechanism for land acquisition priorities in stream corridors that would ultimately be vegetated for riparian buffer zones. The criteria of land acquisition priority were driven through literary review along with experts' advice. The relative weights of their value and priorities for each criterion were computed using the Analytical Hierarchy Process(AHP) method. Major findings of the study are as follows: 1. The decision-making structural model for land acquisition priority focuses mainly on the reduction of non-point source pollutants(NSPs). This fact is highly associated with natural and physical conditions and land use types of surrounding areas. The criteria were classified into two categories-NSPs runoff areas and potential NSPs runoff areas. 2. Land acquisition priority weights derived for NSPs runoff areas and potential NSPs runoff areas were 0.862 and 0.138, respectively. This implicates that much higher priority should be given to the land parcels with NSPs runoff areas. 3. Weights and priorities of sub-criteria suggested from this study include: proximity to the streams(0.460), land cover(0.189), soil permeability(0.117), topographical slope(0.096), proximity to the roads(0.058), land-use types(0.036), visibility to the streams(0.032), and the land price(0.012). This order of importance suggests, as one can expect, that it is better to purchase land parcels that are adjacent to the streams. 4. A standard scoring system including the criteria and weights for land acquisition priority was developed which would likely to allow expedited decision making and easy quantification for priority evaluation due to the utilization of measurable spatial data. Further studies focusing on both point and non-point pollutants and GIS-based spatial analysis and mapping of land acquisition priority are needed.