• Title/Summary/Keyword: solution spaces

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Fuzzy Group Decision Making for Multiple Decision Maker-Multiple Objective Programming Problems

  • Yano, Hitoshi
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2003.09a
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    • pp.380-383
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    • 2003
  • In this paper, we propose a fuzzy group decision making method for multiple decision maker-multiple objective programming problems to obtain the agreeable solution. In the proposed method, considering the vague nature of human subjective judgement it is assumed that each of multiple decision makers has a fuzzy goal for each of his/her own objective functions. After eliciting the membership functions from the decision makers for their fuzzy goals, total M-Pareto optimal solution concept is defined in membership spaces in order to deal with multiple decision maker-multiple objective programming problems. For generating a candidate of the agreeable solution which is total M-Pareto optimal, the extended weighted minimax problem is formulated and solved for some weighting vector which is specified by the decision makers in their subjective manner, Given the total M-Pareto optimal solution, each of the derision makers must either be satisfied with the current values of the membership functions, or update his/her weighting vector, However, in general, it seems to be very difficult to find the agreeable solution with which all of the decision makers are satisfied perfectly because of the conflicts between their membership functions. In the proposed method, each of the decision makers is requested to estimate the degree of satisfaction for the candidate of the agreeable solution. Using the estimated values or satisfaction of each of the decision makers, the core concept is desnfied, which is a set of undominated candidates. The interactive algorithm is developed to obtain the agreeable solution which satisfies core conditions.

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A Study on the Analysis of Temperature Reduction Effect by the Types of the Green Roof (옥상녹화의 녹화유형별 기온저감효과)

  • Lee, Chun-Woo;Kim, Soo-Bong;Moon, Hye-Shick
    • Journal of the Korean housing association
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    • v.22 no.3
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    • pp.25-33
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    • 2011
  • Recently, concerns about conserving proper size of urban green spaces and accessibility are increasing, regarding it as a solution to diverse urban environmental problems including pollution, ecosystem deterioration, urban climate change. Artificial ground greening such as green roofs is regarded as the only alternative that can conserve green spaces which are impossible to be secured on the ground. However, green roofs are not popularized yet and levels are very low in provincial cities despite of related technology development and support systems of related agencies. Based on the background, this study tries to present a theoretical basis of methods for green roofs, conducting green roof simulations Finally, it aims to offer base data which help establish policy direction for activation of green roof technology. As a result of a simulation for verifying temperature reduction effect, it was possible to affirm effect of a plot that green roofs applied. Especially, it was revealed that a green roof method using ground covers such as mixed planting was the most effective way to reduce temperature. Based on precise analysis of the users, actual study for activation of green roofs should be developed in the future, by presenting a standard model for experiments and obtaining information about examples of green roofs on private houses.

A Study on the Spatial Interdependence in the Interior Space of Housing According to the Planning of Circulation System - Based on the Korean and German Cases - (통로공간의 구성체계에 따른 주거 내부공간의 상호결합특성에 관한 연구 - 한국과 독일의 주택 평면 사례를 중심으로 -)

  • 전남일
    • Korean Institute of Interior Design Journal
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    • no.39
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    • pp.83-91
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    • 2003
  • The planning of circulation area and circulation path are very important elements for layout of interior space of housing. This study is, therefore, aimed at synthetical review of that area from a functional, structural and socio-cultural point of view as well as typological analysis of that area. In the interior space of housing the networking of spaces according to the circulation route imply divers aspects of independent or dependant significances. It is thus, closely related with to whether circulation area open or closed, whether circulation path concentrated or distributed, and whether it passes Individual rooms or not. With regard to relationship with public and private spaces, there are many grounds for combining each other. This study also tried to develope program for planning of circulation system, utilizing typological analysis of them. At the same time this study suggests examples for layout of housing spaces. It is expected that the results represented In the form of systematic diagram will deserve to be a tool for providing an appropriate solution to the problem of diversity of user's needs.

A Study on Detection of Abnormal Patterns Based on AI·IoT to Support Environmental Management of Architectural Spaces (건축공간 환경관리 지원을 위한 AI·IoT 기반 이상패턴 검출에 관한 연구)

  • Kang, Tae-Wook
    • Journal of KIBIM
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    • v.13 no.3
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    • pp.12-20
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    • 2023
  • Deep learning-based anomaly detection technology is used in various fields such as computer vision, speech recognition, and natural language processing. In particular, this technology is applied in various fields such as monitoring manufacturing equipment abnormalities, detecting financial fraud, detecting network hacking, and detecting anomalies in medical images. However, in the field of construction and architecture, research on deep learning-based data anomaly detection technology is difficult due to the lack of digitization of domain knowledge due to late digital conversion, lack of learning data, and difficulties in collecting and processing field data in real time. This study acquires necessary data through IoT (Internet of Things) from the viewpoint of monitoring for environmental management of architectural spaces, converts them into a database, learns deep learning, and then supports anomaly patterns using AI (Artificial Infelligence) deep learning-based anomaly detection. We propose an implementation process. The results of this study suggest an effective environmental anomaly pattern detection solution architecture for environmental management of architectural spaces, proving its feasibility. The proposed method enables quick response through real-time data processing and analysis collected from IoT. In order to confirm the effectiveness of the proposed method, performance analysis is performed through prototype implementation to derive the results.

ON THE LOWER SEMICONTINUITY OF THE SOLUTION SETS FOR PARAMETRIC GENERALIZED VECTOR MIXED QUASIVARIATIONAL INEQUALITY PROBLEMS

  • HUNG, NGUYEN VAN
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.6
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    • pp.1777-1795
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    • 2015
  • In this paper, we establish sufficient conditions for the solution set of parametric generalized vector mixed quasivariational inequality problem to have the semicontinuities such as the inner-openness, lower semicontinuity and Hausdorff lower semicontinuity. Moreover, a key assumption is introduced by virtue of a parametric gap function by using a nonlinear scalarization function. Then, by using the key assumption, we establish condition ($H_h$(${\gamma}_0$, ${\lambda}_0$, ${\mu}_0$)) is a sufficient and necessary condition for the Hausdorff lower semicontinuity, continuity and Hausdorff continuity of the solution set for this problem in Hausdorff topological vector spaces with the objective space being infinite dimensional. The results presented in this paper are different and extend from some main results in the literature.

COMMON FIXED POINT THEOREMS FOR CONTRACTIVE TYPE MAPPINGS AND THEIR APPLICATIONS IN DYNAMIC PROGRAMMING

  • Liu, Zeqing;Wang, Lili;Kim, Hyeong-Kug;Kang, Shin-Min
    • Bulletin of the Korean Mathematical Society
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    • v.45 no.3
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    • pp.573-585
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    • 2008
  • A few sufficient conditions for the existence and uniqueness of fixed point and common fixed point for certain contractive type mappings in complete metric spaces are provided. Several existence and uniqueness results of solution and common solution for some functional equations and system of functional equations in dynamic programming are discussed by using the fixed point and common fixed point theorems presented in this paper.

Tracer Concentration Contours in Grain Lattice and Grain Boundary Diffusion

  • Kim, Yong-Soo;Donald R. Olander
    • Nuclear Engineering and Technology
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    • v.29 no.1
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    • pp.7-14
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    • 1997
  • Grain boundary diffusion plays a significant role in fission gas release, which is one of the crucial processes dominating nuclear fuel performance. Gaseous fission produce such as Xe and Kr generated during nuclear fission have to diffuse in the grain lattice and the boundary inside fuel pellets before they reach the open spaces in a fuel rod. These processes can be studied by 'tracer diffusion' techniques, by which grain boundary diffusivity can be estimated and directly used for low burn-up fission gas release analysis. However, only a few models accounting for the both processes are available and mostly handle them numerically due to mathematical complexity. Also the numerical solution has limitations in a practical use. In this paper, an approximate analytical solution in case of stationary grain boundary in a polycrystalline solid is developed for the tracer diffusion techniques. This closed-form solution is compared to available exact and numerical solutions and it turns out that it makes computation not only greatly easier but also more accurate than previous models. It can be applied to theoretical modelings for low bum-up fission gas release phenomena and experimental analyses as well, especially for PIE (post irradiation examination).

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A FIXED POINT APPROACH TO THE STABILITY OF QUINTIC MAPPINGS IN QUASI β-NORMED SPACES

  • Koh, Heejeong
    • Journal of the Chungcheong Mathematical Society
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    • v.26 no.4
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    • pp.757-767
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    • 2013
  • We investigate the general solution of the following functional equation and the generalized Hyers-Ulam-Rassias stability problem in quasi ${\beta}$-normed spaces and then the stability by using alternative fixed point method for the following quintic function $f:X{\rightarrow}Y$ such that f(3x+y)+f(3x-y)+5[f(x+y)+f(x-y)]=4[f(2x+y)+f(2x-y)]+2f(3x)-246f(x), for all $x,y{\in}X$.

DISCONTINUOUS GALERKIN METHOD FOR NONLINEAR PARABOLIC PROBLEMS WITH MIXED BOUNDARY CONDITION

  • Ohm, Mi Ray;Lee, Hyun Yong;Shin, Jun Yong
    • Journal of applied mathematics & informatics
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    • v.32 no.5_6
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    • pp.585-598
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    • 2014
  • In this paper we consider the nonlinear parabolic problems with mixed boundary condition. Under comparatively mild conditions of the coefficients related to the problem, we construct the discontinuous Galerkin approximation of the solution to the nonlinear parabolic problem. We discretize spatial variables and construct the finite element spaces consisting of discontinuous piecewise polynomials of which the semidiscrete approximations are composed. We present the proof of the convergence of the semidiscrete approximations in $L^{\infty}(H^1)$ and $L^{\infty}(L^2)$ normed spaces.

MONOTONE GENERALIZED CONTRACTIONS IN ORDERED METRIC SPACES

  • Alam, Aftab;Imdad, Mohammad
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.1
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    • pp.61-81
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    • 2016
  • In this paper, we prove some existence and uniqueness results on coincidence points for g-monotone mappings satisfying linear as well as generalized nonlinear contractivity conditions in ordered metric spaces. Our results generalize and extend two classical and well known results due to Ran and Reurings (Proc. Amer. Math. Soc. 132 (2004), no. 5, 1435-1443) and Nieto and $Rodr{\acute{i}}guez$-$L{\acute{o}}pez$ (Acta Math. Sin. 23 (2007), no. 12, 2205-2212) besides similar other ones. Finally, as an application of one of our newly proved results, we establish the existence and uniqueness of solution of a first order periodic boundary value problem.