• Title/Summary/Keyword: fuzzy decision making

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Decision Making Method for Structural Design Scheme (구조 설계방안에 대한 의사결정 방법)

  • 모재근;박춘욱;손수덕;강문명
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1998.10a
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    • pp.243-250
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    • 1998
  • In this paper, for the fuzzy constraints not only fuzziness of the constraints relation but also uncertainties of the response of the structures, allowable limits of the constraints and structural design variables, etc. are considered,. so that the fuzzy optimization of the structures can involve more wide scope of the problem and the fuzzy optimal problem is more generalized. In the decision making of the structural design scheme, every possible cases of the fuzzy variables, random variables and fuzzy-random variables, etc. for the uncertainties of the optimization problem are all considered, so the most general method of the decision making is presented. And a numerical example for the three bar truss is offered to demonstrate the reliability and execution possibility proposed method in this paper.

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A Study on Best Generation Mix using Sensitivity Analysis of Fuzzy Multi Attribute Decision Making (퍼지 다속성 의사결정문제의 감도해석을 이용한 최적전원구성에 관한 연구)

  • Song, K.Y.;Cha, J.M.;Kim, Y.H.
    • Proceedings of the KIEE Conference
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    • 1993.07a
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    • pp.177-179
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    • 1993
  • Best generation mix belongs to a multi attribute decision making, because we should consider many uncertain factors and choose the best one of the alternatives. Sugeno's fuzzy integral has been used as the solution of multi attribute decision making, but the exact value of the coefficient $\lambda$ hat not known yet which is needed to calculate fuzzy measure. This paper proposes the new method to calculate fuzzy measure without fixing the value of $\lambda$. The proposed method considers $\lambda$ as a probability distribution function and calculated expectation of fuzzy measure. The method is applied to the test system and the validity of the method is verified.

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APPLICATIONS OF SIMILARITY MEASURES FOR PYTHAGOREAN FUZZY SETS BASED ON SINE FUNCTION IN DECISION-MAKING PROBLEMS

  • ARORA, H.D.;NAITHANI, ANJALI
    • Journal of applied mathematics & informatics
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    • v.40 no.5_6
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    • pp.897-914
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    • 2022
  • Pythagorean fuzzy sets (PFSs) are capable of modelling information with more uncertainties in decision-making problems. The essential feature of PFSs is that they are described by three parameters: membership function, non-membership function and hesitant margin, with the total of the squares of each parameter equal to one. The purpose of this article is to suggest some new similarity measures and weighted similarity measures for PFSs. Numerical computations have been carried out to validate our proposed measures. Applications of these measures have been applied to some real-life decision-making problems of pattern detection and medicinal investigations. Moreover, a descriptive illustration is employed to compare the results of the proposed measures with the existing analogous similarity measures to show their effectiveness.

Fuzzy AHP and FCM-driven Hybrid Group Decision Support Mechanism (퍼지 AHP와 퍼지인식도 기반의 하이브리드 그룹 의사결정지원 메커니즘)

  • Kim, Jin-Sung;Lee, Kun-Chang
    • Proceedings of the Korea Society for Industrial Systems Conference
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    • 2003.11a
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    • pp.239-250
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    • 2003
  • In this research, we propose a hybrid group decision support mechanism (H-GDSM) based on Fuzzy AHP (Analytic Hierarchy Process) and FCM (Fuzzy Cognitive Map). The AHP elicits a corresponding priority vector interpreting the preferred information among the decision makers. Corresponding vector was composed of the pairwise comparison values of a set of objects. Since pairwise comparison values are the judgments obtained from an appropriate semantic scale. However, AHP couldn't represent the causal relationship among information, which were used by decision makers. In contrast to AHP, FCM could represent the causal relationship among variables or information. Therefore, FCMs were successfully developed and used in several ill-structured domains, such as strategic decision-making, policy making, and simulations. Nonetheless, many researchers used subjective and voluntary inputs to simulate the FCM. As a result of subjective inputs, it couldn't avoid the rebukes of businessman. To overcome these limitations, we incorporated the Fuzzy membership functions, AHP and FCM into a H-GDSM. In contrast to current AHP methods and FCMs, the H-GDSM method developed herein could concurrently tackle the pairwise comparison involving causal relationships under a group decision-making environment. The strengths and contributions of our mechanism were 1) handling of qualitative knowledge and causal relationships, 2) extraction of objective input value to simulate the FCM, 3) multi-phase group decision support based on H-GDSM. To validate our proposed mechanism we developed a simple prototype system to support negotiation-based decisions in electronic commerce (EC).

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A Study on Multi-Objective Fuzzy Optimum Design of Truss Structures

  • Mu, Zai-Gen;Ge, Xin;Yan, Mou;Chen, Yun-Zhou
    • Journal of Korean Association for Spatial Structures
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    • v.3 no.2 s.8
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    • pp.77-83
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    • 2003
  • This paper presents decision making method of structural multi-objective fuzzy optimum problem. The data and behavior of many engineering systems are not know precisely and the designer is required to design the system in the presence of fuzziness in the multi-goals, constraints and consequences of possible actions. In this paper, in order to find a satisfactory solution, the membership functions are constructed for the fuzzy objectives subject to the fuzzy constraints, and two approaches are presented by using the different types of fuzzy decision making. Thus, multi-objective fuzzy optimum problem can be converted into single objective non-fuzzy optimum problem and satisfactory solution of the multi-objective fuzzy optimum problem can be found with general optimum programming. Illustrative numerical example of the ten bar truss for minimum weight and minimum deflection is provided to demonstrate the process of finding the solution and the results are discussed.

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Multi-Criteria Group Decision Making under Imprecise Preference Judgments: Using Fuzzy Logic with Linguistic Quantifier

  • Choi, Duke-Hyun;Ahn, Byeong-Seok;Kim, Soung-Hie
    • Proceedings of the Korea Inteligent Information System Society Conference
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    • 2005.11a
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    • pp.557-567
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    • 2005
  • The increasing complexity of the socio-economic environments makes it less and less possible for single decision-maker to consider all relevant aspects of problem. Therefore are, many organizations employ groups in decision making. In this paper, we present a multiperson decision making method using fuzzy logic with linguistic quantifier when each of group members specifies imprecise judgments possibly both on performance evaluations of alternatives with respect to the multiperson criteria and on the criteria. Inexact or vague preferences have appeared in the decision making literatures with a view to relaxing the burdens of preference specifications imposed to the decision-makers and thus taking into account the vagueness of human judgments. Allowing for the types of imprecise judgments in the model, however, makes more difficult a clear selection of alternative(s) that a group wants to make. So, further interactions with the decision-makers may proceed to the extent to compensate for the initial comforts of preference specifications. These interaction may not however guarantee the selection of the best alternative to implement. To circumvent this deadlock situation, we present a procedure for obtaining a satisfying solution by the use of linguistic quantifier guided aggregation which implies fuzzy majority. This is an approach to combine a prescriptive decision method via a mathematical programming and a well-established approximate solution method to aggregate multiple objects.

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A Study on the Development of Regional Innovative Capability Indices Using Fuzzy Multi-Criteria Decision Making (퍼지다기준 의사결정기법을 이용한 지역혁신역량지수의 도출)

  • Heo, Jae-Yong
    • Journal of Technology Innovation
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    • v.16 no.1
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    • pp.1-21
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    • 2008
  • We attempt to make regional innovative capability indices for overall understanding of regional innovation. We'll analyze various indicators on it using fuzzy set theory and compare regional innovative capabilities of 16 regions in Korea. The fuzzy set theory can reflect more normally the uncertainty of the stakeholder's responses than other decision making analysis methods. The overall results suggest that experts on regional innovation rank GRDP most important and Daejeon is the most innovative region. Building up regional innovative capabilities should be made for more balanced national land development.

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A fuzzy multi-criteria decision making methodology for small and medium enterprises evaluation under intersectional dependence relations (교차종속관계하에서의 중소기업 평가를 위한 Fuzzy 다기준의사결정법)

  • 박영화;이상완
    • Korean Management Science Review
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    • v.14 no.1
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    • pp.11-29
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    • 1997
  • This paper presents the better efficient evaluation of the Small and Medium Enterprises by use of fuzzy multi-criteria decision making methodology under intersectional dependence relations. The five Small and Medium Enterprises alternative will be evaluated by Fuzzy Analytic Hierarchy Process(FAHP) based on entropy weight in this study. A case study is presented to illustrate the use of entropy weight measurement with intersectional dependence problems. These problems are evaluated seven criteria : market criteria, thchnology criteria, management ability criteria, planning criteria, propulsion ability criteria, project propulsion basis criteria, propulsion result criteria.

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APPLICATION OF FUZZY LINEAR PROGRAMMING FOR TIME COST TRADEOFF ANALYSIS

  • Vellanki S.S. Kumar;Mir Iqbal Faheem;Eshwar. K;GCS Reddy
    • International conference on construction engineering and project management
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    • 2007.03a
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    • pp.69-78
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    • 2007
  • In real world, the project managers handle conflicting goals that govern the use of resources within the stipulated time and budget with required quality and safety. These conflicting goals are required to be optimized simultaneously by the project managers in the framework of fuzzy aspiration levels. The fuzzy linear programming model proposed herein helps project managers to minimize total project costs, completion time, and crashing costs considering indirect costs, contractual penalty costs etc by practically charging them in terms of direct cost of the project. A case study of bituminous pavement under construction is considered to demonstrate the feasibility of applying the proposed model for optimization of project parameters. Consequently, the proposed model yields an efficient compromise solution and the decision maker's overall degree of satisfaction with multiple fuzzy goal values. Additionally, the proposed model provides a systematic decision-making framework, enabling decision maker to interactively modify the fuzzy data and model parameters until a satisfactory solution is obtained. The significant characteristics that differentiate the proposed model with other models include, flexible decision-making process, multiple objective functions, and wide-ranging decision information.

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Fuaay Decision Tree Induction to Obliquely Partitioning a Feature Space (특징공간을 사선 분할하는 퍼지 결정트리 유도)

  • Lee, Woo-Hang;Lee, Keon-Myung
    • Journal of KIISE:Software and Applications
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    • v.29 no.3
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    • pp.156-166
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    • 2002
  • Decision tree induction is a kind of useful machine learning approach for extracting classification rules from a set of feature-based examples. According to the partitioning style of the feature space, decision trees are categorized into univariate decision trees and multivariate decision trees. Due to observation error, uncertainty, subjective judgment, and so on, real-world data are prone to contain some errors in their feature values. For the purpose of making decision trees robust against such errors, there have been various trials to incorporate fuzzy techniques into decision tree construction. Several researches hove been done on incorporating fuzzy techniques into univariate decision trees. However, for multivariate decision trees, few research has been done in the line of such study. This paper proposes a fuzzy decision tree induction method that builds fuzzy multivariate decision trees named fuzzy oblique decision trees, To show the effectiveness of the proposed method, it also presents some experimental results.