• Title/Summary/Keyword: Imprecise set

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A Simple Method for Solving Type-2 and Type-4 Fuzzy Transportation Problems

  • Senthil Kumar, P.
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.16 no.4
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    • pp.225-237
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    • 2016
  • In conventional transportation problem (TP), all the parameters are always certain. But, many of the real life situations in industry or organization, the parameters (supply, demand and cost) of the TP are not precise which are imprecise in nature in different factors like the market condition, variations in rates of diesel, traffic jams, weather in hilly areas, capacity of men and machine, long power cut, labourer's over time work, unexpected failures in machine, seasonal changes and many more. To counter these problems, depending on the nature of the parameters, the TP is classified into two categories namely type-2 and type-4 fuzzy transportation problems (FTPs) under uncertain environment and formulates the problem and utilizes the trapezoidal fuzzy number (TrFN) to solve the TP. The existing ranking procedure of Liou and Wang (1992) is used to transform the type-2 and type-4 FTPs into a crisp one so that the conventional method may be applied to solve the TP. Moreover, the solution procedure differs from TP to type-2 and type-4 FTPs in allocation step only. Therefore a simple and efficient method denoted by PSK (P. Senthil Kumar) method is proposed to obtain an optimal solution in terms of TrFNs. From this fuzzy solution, the decision maker (DM) can decide the level of acceptance for the transportation cost or profit. Thus, the major applications of fuzzy set theory are widely used in areas such as inventory control, communication network, aggregate planning, employment scheduling, and personnel assignment and so on.

Systematic Elicitation of Proximity for Context Management

  • Kim Chang-Suk;Lee Sang-Yong;Son Dong-Cheul
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.6 no.2
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    • pp.167-172
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    • 2006
  • As ubiquitous devices are fast spreading, the communication problem between humans and these devices is on the rise. The use of context is important in interactive application such as handhold and ubiquitous computing. Context is not crisp data, so it is necessary to introduce the fuzzy concept. The proxity relation is represented by the degree of closeness or similarity between data objects of a scalar domain. A context manager of context-awareness system evaluates imprecise queries with the proximity relations. in this paper, a systematic proximity elicitation method are proposed. The proposed generation method is simple and systematic. It is based on the well-known fuzzy set theory and applicable to the real world applications because it has tuning parameter and weighting factor. The proposed representations of proximity relation is more efficient than the ordinary matrix representation since it reflects some properties of a proximity relation to save space. We show an experiments of quantitative calculate for the proximity relation. And we analyze the time complexity and the space occupancy of the proposed representation method.

Prioritization for Water Storage Increase of Agricultural Reservoir using FAHP Method (FAHP 기법에 의한 농업용저수지의 추가저수량 확보사업 우선순위 결정)

  • Choi, Eun Hyuk;Bae, Sang Soo;Jee, Hong Kee
    • Journal of Korea Water Resources Association
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    • v.46 no.2
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    • pp.171-182
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    • 2013
  • This paper presents the application of fuzzy set theory in multi criteria decision making (MCDM). FAHP (Fuzzy Analytic Hierarchy Process) method was used to rank alternatives to find the most reasonable and efficient way of agricultural reservoir water resources assessment. 6 criteria and 10 subcriteria had been identified and compared to secure agricultural water resources. Fuzzy numbers and linguistic variables were presented to address inherently uncertain or imprecise data. Comparison analysis of decision making method was also carried out to find a way of suitable decision making and validity of FAHP was discussed.

Transformation of Mass Function and Joint Mass Function for Evidence Theory

  • Suh, Doug. Y.;Esogbue, Augustine O.
    • Journal of the Korean Institute of Intelligent Systems
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    • v.1 no.2
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    • pp.16-34
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    • 1991
  • It has been widely accepted that expert systems must reason from multiple sources of information that is to some degree evidential - uncertain, imprecise, and occasionally inaccurate - called evidential information. Evidence theory (Dempster/Shafet theory) provides one of the most general framework for representing evidential information compared to its alternatives such as Bayesian theory or fuzzy set theory. Many expert system applications require evidence to be specified in the continuous domain - such as time, distance, or sensor measurements. However, the existing evidence theory does not provide an effective approach for dealing with evidence about continuous variables. As an extension to Strat's pioneeiring work, this paper provides a new combination rule, a new method for mass function transffrmation, and a new method for rendering joint mass fuctions which are of great utility in evidence theory in the continuous domain.

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The Spatial Fuzzy Approach to Multi-Criteria Decision Analysis for Flood Management (홍수터 관리 최적대안 결정을 위한 공간퍼지접근)

  • Lim, Kwang-Suop;Choi, Si-Jung
    • Proceedings of the Korea Water Resources Association Conference
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    • 2009.05a
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    • pp.1647-1651
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    • 2009
  • The uncertainty or imprecision associated with vague parameters and weighting sets, reduces the ability to decide what alternative is better for a particular location. To efficiently reduce the effect of imprecision frequently arising in available information, fuzzy theory has been used to improve consideration of imprecision in a Multi-Criteria Decision Analysis (MCDA) problem. Fuzzy logic offers a way to represent and handle imprecision present in continuous real world applications. A GIS implementing fuzzy set theory, (referred to in this paper as the "Spatial Fuzzy Approach") enables decision makers to express imprecise concepts associated with geographic data and provides decision makers the ability to have even more definition and discrimination in terms of the best alternatives for a particular spatial location. This study is focused on addressing questions pertaining to the methodology of floodplain analysis using GIS and Spatial Fuzzy MCDA to evaluate flood damage reduction alternatives. The issues will be examined in a case study of the Suyoung River Basin in Pusan, Korea.

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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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Object-Oriented Model of Resources for Real-Time Applications (실시간 활용을 위한 객체지향 자원관리)

  • Park, Dong-Won
    • The Journal of Engineering Research
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    • v.3 no.1
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    • pp.117-121
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    • 1998
  • This paper describes a model suitable for real-time languages, which explicitly defines a set of resource objects. The resource objects are constituted in a specialization hierarchy which allows programmers to perform resource handling at any desired level of detail, as well as providing a uniform interface. This object-oriented model is used to extend the applicability of the imprecise computation approach to deal with shortfalls of any computational resource, and enable to build real-time systems which can handle dynamic situations.

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Sensitivity Analysis of Least Squares Velocity Estimation Using a Regular Polygonal Array of Optical Mice (정다각형 배열 광마우스를 이용한 최소 자승 속도 추정법에 대한 민감도 분석)

  • Kim, Sung-Bok;Jeong, Il-Hwa;Lee, Sang-Hyup
    • Proceedings of the KIEE Conference
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    • 2007.10a
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    • pp.145-146
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    • 2007
  • This paper presents the sensitivity analysis of the leasst qsuares velocity estimation of an omnidirectional mobile robot using a regular polygonal array of optical mice. First, the velocity kinematics from a mobile robot to an array of optical mice is derived as an overdetermined linear system. Then, for a given set of optical mouse readings, the least squares velocity estimation of a mobile robot is obtained as the simple average. Finally, the sensitivity analysis of the proposed least squares velocity estimation to imprecise installation is made.

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Implementation of Dynamic Programming Using Cellular Nonlinear Neural Networks (셀룰라 비선형 회로망에 의한 동적계획법의 구현)

  • Park, Jin-Hee;Son, Hong-Rak;Kim, Hyong-Suk
    • Proceedings of the KIEE Conference
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    • 2000.07d
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    • pp.3060-3062
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    • 2000
  • A fast optimal path planning algorithm using the analog Cellular Nonlinear Circuits (CNC) is proposed. The proposed algorithm compute the optimal path using subgoal-based dynamic programming algorithm. In the algorithm, the optimal paths are computed regardless of the distance between the initial and the goal position. It begins to find subgoals starting from the initial position when the output of the initial cell becomes nonzero value. The suboal is set as the initial position to find the next subgoal until the final goal is reached. Simulations have been done considering the imprecise hardware fabrication and the limitation of the magnitude of input value.

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A Ship Intelligent Anti-Collision Decision-Making Supporting System Based On Trial Manoeuvre

  • Zhuo, Yongqiang;Yao, Jie
    • Proceedings of the Korean Institute of Navigation and Port Research Conference
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    • 2006.10a
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    • pp.176-183
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    • 2006
  • A novel intelligent anti-collision decision-making supporting system is addressed in this paper. To obtain precise anti-collision information capability, an innovative neurofuzzy network is proposed and applied. A fuzzy set interpretation is incorporated into the network design to handle imprecise information. A neural network architecture is used to train the parameters of the Fuzzy Inference System (FIS). The learning process is based on a hybrid learning algorithm and off-line training data. The training data are obtained by trial manoeuvre. This neurofuzzy network can be considered to be a self-learning system with the ability to learn new information adaptively without forgetting old knowledge. This supporting system can decrease ship operators' burden to deal with bridge data and help them to make a precise anti-collision decision.

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