• Title/Summary/Keyword: fuzzy programming

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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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Multiobjective Nonlinear Decision Making with Fuzzy Parameters and Fuzzy Equal Goals (퍼지모수들과 퍼지항등목표들을 가지는 다목적 비선형 의사결정)

  • 윤연근;남현우;이상완
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.20 no.41
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    • pp.41-50
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    • 1997
  • In this paper, we presents the method for finding the compensatory solution for fuzzy multiobjective nonlinear programming problem with fuzzy parameters involved in the problem-formulation process and fuzzy equal goals of the decision maker for each of the objective functions. The fuzzy parameters in the objective functions and the constraints characterized by fuzzy numbers. The proposed method can be applied to case with multiobjective problems and guarantee an efficient solution. An illustrative numerical example is presented.

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Estimation of Parameters in Fuzzy Time Series Model with Triangular Fuzzy Numbers

  • Shon Eun Hee;Sohn Keon Tae
    • Proceedings of the Korean Statistical Society Conference
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    • 2000.11a
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    • pp.267-269
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    • 2000
  • Using the fuzzified coefficients, ARMA processes can be extended to fuzzy time series model. In this paper, the estimation of parameters in the fuzzy time series model with asymmetric triangular fuzzy coefficients is studied. Nonlinear programming is applied to get solutions of parameters.

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Advanced controller design for AUV based on adaptive dynamic programming

  • Chen, Tim;Khurram, Safiullahand;Zoungrana, Joelli;Pandey, Lallit;Chen, J.C.Y.
    • Advances in Computational Design
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    • v.5 no.3
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    • pp.233-260
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    • 2020
  • The main purpose to introduce model based controller in proposed control technique is to provide better and fast learning of the floating dynamics by means of fuzzy logic controller and also cancelling effect of nonlinear terms of the system. An iterative adaptive dynamic programming algorithm is proposed to deal with the optimal trajectory-tracking control problems for autonomous underwater vehicle (AUV). The optimal tracking control problem is converted into an optimal regulation problem by system transformation. Then the optimal regulation problem is solved by the policy iteration adaptive dynamic programming algorithm. Finally, simulation example is given to show the performance of the iterative adaptive dynamic programming algorithm.

A Fuzzy Linear Programming Problem with Fuzzy Convergent Equality Constraints (퍼지 융합 등식 제약식을 갖는 퍼지 선형계획법 문제)

  • Oh, Se-Ho
    • Journal of the Korea Convergence Society
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    • v.6 no.5
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    • pp.227-232
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    • 2015
  • The fuzzy linear programming(FLP) is the useful approach to many real world problems under uncertainty. This paper deals with a FLP whose objective value is fuzzy. And the right hand sides of convergent equality constraints are fuzzy numbers. We assume that the membership function of the objective value is piecewise linear and those of the right hand side are trapezoidal. Each of these trapezoidal functions can be algebraically replaced with three linear functions. Then the FLP problem is transformed into the Zimmermann's symmetric model. The fuzzy solution based on the max-min rule can be obtained by solving the crisp linear programming problem derived from the symmetric model. A numerical example has illustrated our approach. The application of our approach to the inconsistent linear system can enable generate us to get define the useful and flexible inexact solutions within acceptable tolerance. Further research is required to generalize the membership function.

A Study on Gain Scheduling Programming with the Fuzzy Logic Controller of a 6-axis Articulated Robot using LabVIEW® (LabVIEW®를 이용한 6축 수직 다관절 로봇의 퍼지 로직이 적용된 게인 스케줄링 프로그래밍에 관한 연구)

  • Kang, Seok-Jeong;Chung, Won-Jee;Park, Seung-Kyu;Noe, Sung Hun
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.16 no.4
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    • pp.113-118
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    • 2017
  • As the demand for industrial robots and Automated Guided Vehicles (AGVs) increases, higher performance is also required from them. Fuzzy controllers, as part of an intelligent control system, are a direct control method that leverages human knowledge and experience to easily control highly nonlinear, uncertain, and complex systems. This paper uses a $LabVIEW^{(R)}-based$ fuzzy controller with gain scheduling to demonstrate better performance than one could obtain with a fuzzy controller alone. First, the work area was set based on forward kinematics and inverse kinematics programs. Next, $LabVIEW^{(R)}$ was used to configure the fuzzy controller and perform the gain scheduling. Finally, the proposed fuzzy gain scheduling controller was compared with to controllers without gain scheduling.

Fuzzy multi-objective optimization of the laminated composite beam (복합재 적층 보의 퍼지 다목적 최적설계)

  • 이강희;구만회;이종호;홍영기;우호길
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2000.04a
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    • pp.143-148
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    • 2000
  • In this article, we presents multi-objective design optimization of laminated composite beam using Fuzzy programming method. At first, the two design objectives are minimizing the structural weight and maximizing the buckling load respectively. Fuzzy multi-optimization problem can be formulated based on results of single optimizations. Due to different relative importance of design objectives, membership functions are constructed by adding exponential parameters for different objective's weights. Finite element analysis of composite beam for buckling behavior are carried by Natural mode method proposed by J.Argyris and computational time of analysis can be reduced. With this scheme, a designer can conveniently obtain a compromise optimal solution of a multi-objective optimization problem only by providing some exponential parameters corresponding to the importance of the objective functions.

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Introduction and Improvement of Genetic Programming for Intelligent Fuzzy Robots

  • Murai, Yasuyuki;Matsumura, Koki;Tatsumi, Hisayuki;Tsuji, Hiroyuki;Tokumasu, Shinji
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2003.09a
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    • pp.388-391
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    • 2003
  • We've been following research on the obstacle avoidance that is based on fuzzy control. We previously proposed a new method of automatically generating membership functions, which play an important role in improving accuracy of fuzzy control, by using genetic programming (GP). In this paper, we made two improvements to our proposed method, for the purpose of achieving better intelligence in fuzzy robots. First, the mutation rate is made to change dynamically, according to the coupled chaotic system. Secondly, the population partitioning using deme is introduced by parallel processing. The effectiveness of these improvements is demonstrated through several computer simulations.

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Interactive Fuzzy Multiobjective Decision-Making using $\alpha$-Cut ($\alpha$-절단을 이용한 대화형 퍼지 다목적 의사결정)

  • 홍성일;이상완
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.15 no.26
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    • pp.13-19
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    • 1992
  • MODM(multiobjective decision-making)problem is very complex system for the analysist and decision maker. Therefore, it requires suitable MODM method to solve multiobjective decision-making problem. This paper presents an interactive fuzzy decision making method for solving multiobjective nonlinear programming problems with fuzzy goals and $\alpha$-cut set of fuzzy numbers. In our interactive method, if the decision maker specifies the degree $\alpha$of the objective value and the imprecise goals, λ-mux problem is solved. To examplify the proposed method, an interactive computer programming written in FORTRAN and an illustrate numerical example along with computer outputs are presented.

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The development of critical node method based heuristic procedure for Solving fuzzy assembly-line balancing problem (퍼지 조립라인밸런싱 문제 해결을 위한 주노드법에 기초한 휴리스틱 절차 개발)

  • 이상완;박병주
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.22 no.51
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    • pp.189-197
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    • 1999
  • Assembly line balancing problem is known as one of difficult combinatorial optimization problems. This problem has been solved with linear programming, dynamic programming approaches. but unfortunately these approaches do not lead to efficient algorithms. Recently, genetic algorithm has been recognized as an efficient procedure for solving hard combinatorial optimization problems, but has a defect that requires long-run time and computational complexties to find the solution. For this reason, we adapt a new method called the Critical Node Method that is intuitive, easy to understand, simple for implementation. Fuzzy set theory is frequently used to represent uncertainty of information. In this paper, to treat the data of real world problems we use a fuzzy number to represent the duration and Critical Node Method based heuristic procedure is developed for solving fuzzy assembly line balancing problem.

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