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Aggregation operators on intuitionistic trapezoidal fuzzy number and its application to multi-criteria decision making problems 被引量:64
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作者 Wang Jianqiang Zhang Zhong 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2009年第2期321-326,共6页
Intuitionistic trapezoidal fuzzy numbers and their operational laws are defined. Based on these operational laws, some aggregation operators, including intuitionistic trapezoidal fuzzy weighted arithmetic averaging op... Intuitionistic trapezoidal fuzzy numbers and their operational laws are defined. Based on these operational laws, some aggregation operators, including intuitionistic trapezoidal fuzzy weighted arithmetic averaging operator and weighted geometric averaging operator are proposed. Expected values, score function, and accuracy function of intuitionitsic trapezoidal fuzzy numbers are defined. Based on these, a kind of intuitionistic trapezoidal fuzzy multi-criteria decision making method is proposed. By using these aggregation operators, criteria values are aggregated and integrated intuitionistic trapezoidal fuzzy numbers of alternatives are attained. By comparing score function and accuracy function values of integrated fuzzy numbers, a ranking of the whole alternative set can be attained. An example is given to show the feasibility and availability of the method. 展开更多
关键词 intuitionistic trapezoidal fuzzy numbers aggregation operators multi-criteria decision making
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Extension of TOPSIS for fuzzy multi-attribute decision making problem based on experimental analysis 被引量:16
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作者 Min Tian Yuanyuan He Sifeng Liu 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2010年第3期416-422,共7页
This paper is concerned with a technique for order performance by similarity to ideal solution(TOPSIS) method for fuzzy multi-attribute decision making,in which the information about attribute weights is partly know... This paper is concerned with a technique for order performance by similarity to ideal solution(TOPSIS) method for fuzzy multi-attribute decision making,in which the information about attribute weights is partly known and the attribute values take form of triangular fuzzy numbers.Considering the fact that the triangular fuzzy TOPSIS results yielded by different distance measures are different from others,a comparative analysis of triangular fuzzy TOPSIS ranking from each distance measure is illustrated with discussion on standard deviation.By applying the most reasonable distance,the deviation degrees between attribute values are measured.A linear programming model based on the maximal deviation of weighted attribute values is established to obtain the attribute weights.Therefore,alternatives are ranked by using TOPSIS method.Finally,a numerical example is given to show the feasibility and effectiveness of the method. 展开更多
关键词 fuzzy multi-attribute decision making technique for order performance by similarity to ideal solution(TOPSIS) method triangular fuzzy number distance measure.
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Novel combinatorial algorithm for the problems of fuzzy grey multi-attribute group decision making 被引量:13
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作者 Rao Congjun Xiao Xinping Peng Jin 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2007年第4期774-780,共7页
To study the fuzzy and grey information in the problems of multi-attribute group decision making, the basic concepts of both fuzzy grey numbers and grey interval numbers are given firstly, then a new model of fuzzy gr... To study the fuzzy and grey information in the problems of multi-attribute group decision making, the basic concepts of both fuzzy grey numbers and grey interval numbers are given firstly, then a new model of fuzzy grey multi-attribute group decision making based on the theories of fuzzy mathematics and grey system is presented. Furthermore, the grey interval relative degree and deviation degree is defined, and both the optimistic algorithm of the grey interval relational degree and the algorithm of deviation degree minimization for solving this new model are also given. Finally, a decision making example to demonstrate the feasibility and rationality of this new method is given, and the results by using these two algorithms are uniform. 展开更多
关键词 multi-attribute group decision making fuzzy grey number grey interval relational degree deviation degree
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Fuzzy multi-criteria decision-making approach with incomplete information based on evidential reasoning 被引量:2
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作者 JianqiangWang Hongyu Zhang Zhong Zhang 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2010年第4期604-608,共5页
The weights of criteria are incompletely known and the criteria values are incomplete and uncertain or even default in some fuzzy multi-criteria decision-making problems.For those problems,an approach based on evident... The weights of criteria are incompletely known and the criteria values are incomplete and uncertain or even default in some fuzzy multi-criteria decision-making problems.For those problems,an approach based on evidential reasoning is proposed,in which the criteria values are integrated on the basis of analytical algorithm of evidential reasoning,and then nonlinear programming models of each alternative are developed with the incomplete information on weights.The genetic algorithm is employed to solve the models,producing the weights and the utility interval of each alternative,and the ranking of the whole set of alternatives can be attained.Finally,an example shows the effectiveness of the method. 展开更多
关键词 fuzzy multi-criteria decision-making evidential reasoning incomplete information trapezoidal fuzzy numbers.
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Fuzzy interval linguistic sets with applications in multi-attribute group decision making 被引量:1
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作者 LUO Xiao LI Weimin +1 位作者 WANG Xuanzi ZHAO Zhenchong 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2018年第6期1237-1250,共14页
Uncertain and hesitant information, widely existing in the real-world qualitative decision making problems, brings great challenges to decision makers. Hesitant fuzzy linguistic term sets(HFLTSs), an effective linguis... Uncertain and hesitant information, widely existing in the real-world qualitative decision making problems, brings great challenges to decision makers. Hesitant fuzzy linguistic term sets(HFLTSs), an effective linguistic computational tool in modeling and eliciting such information, have hence aroused many scholars’ interests and some extensions have been introduced recently.However, these methods are based on the discrete linguistic term framework with the limited expression domain, which actually depict qualitative information using several single values. Therefore,it is hard to ensure the integrity of the semantics representation and the accuracy of the computation results. To deal with this problem, a semantics basis framework called complete linguistic term set(CLTS) is designed, which adopts a separation structure of linguistic scale and expression domain, enriching semantics representation of decision makers. On this basis the concept of fuzzy interval linguistic sets(FILSs) is put forward that employs the interval linguistic term with probability to increase the flexibility of eliciting and representing uncertain and hesitant qualitative information. For practical applications, a fuzzy interval linguistic technique for order preference by similarity to ideal solution(FILTOPSIS) method is developed to deal with multi-attribute group decision making(MAGDM) problems. Through the cases of movie and enterprise resource planning(ERP) system selection, the effectiveness and validity of the proposed method are illustrated. 展开更多
关键词 hesitant fuzzy sets multi-attribute group decision making(MAGDM) fuzzy interval linguistic set(FILS) hesitant fuzzy linguistic term set(HFLTS) fuzzy linguistic approach
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Kind of Fuzzy Method Determining Index Weight on Multi-Objctive Decision Making
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作者 程国明 黄侃 《International Journal of Mining Science and Technology》 SCIE EI 1999年第2期211-214,共4页
Based on fuzzy characteristic of dicision-making thought, matrix of priority relation has been introduced and blurrized. A kind of fuzzy method, which is to determine the index weight on multi-objective decision makin... Based on fuzzy characteristic of dicision-making thought, matrix of priority relation has been introduced and blurrized. A kind of fuzzy method, which is to determine the index weight on multi-objective decision making, has been put forward by means of the sequence root method for analysis of hierarchical process (AHP). Using this method an example which is to define the index weigbt on multi-objective decision making in thc scheme optimization of mine design has been given. 展开更多
关键词 fuzzy method index weight multi-OBJECTIVE decision making CONSISTENCY MINE design
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Improved Fuzzification Method for Multi-Objective Decision-Making and Its Application in Evaluation of Highway Planning
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作者 雷秀娟 史忠科 《Journal of Southwest Jiaotong University(English Edition)》 2003年第2期198-202,共5页
A new fuzzification method for multi-objective decision-making and selective sorting is proposed on the basis of the fuzzy consistent relation, and the specific algorithm is presented. The method is applied to the eva... A new fuzzification method for multi-objective decision-making and selective sorting is proposed on the basis of the fuzzy consistent relation, and the specific algorithm is presented. The method is applied to the evaluation of highway planning of Zhanjiang city. To decrease the subjectivity in the process of decision-making, the LOWA operator is introduced, and a discussion on how to select appropriate weights involved in multi-objective sorting is made. It is concluded that it is feasible to apply the fuzzy consistent relation to multi-objective decision-making analysis, and the improved fuzzication method is workable. 展开更多
关键词 multi-objective decision-making fuzzy consistent matrix LOWA operator EVALUATION highway planning
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A Note about Multi-criteria Fuzzy Decision Making Method Based on a Novel Accuracy Function Defined on Two Opposite Aspects
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作者 Xinshang You Tong Chen 《管理科学与研究(中英文版)》 2015年第4期50-55,共6页
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Pythagorean Uncertain Linguistic Variable Hamy Mean Operator and Its Application to Multi-attribute Group Decision Making 被引量:2
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作者 Huidong Wang Shifan He +1 位作者 Chengdong Li Xiaohong Pan 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2019年第2期527-539,共13页
Pythagorean fuzzy set(PFS) can provide more flexibility than intuitionistic fuzzy set(IFS) for handling uncertain information, and PFS has been increasingly used in multi-attribute decision making problems. This paper... Pythagorean fuzzy set(PFS) can provide more flexibility than intuitionistic fuzzy set(IFS) for handling uncertain information, and PFS has been increasingly used in multi-attribute decision making problems. This paper proposes a new multiattribute group decision making method based on Pythagorean uncertain linguistic variable Hamy mean(PULVHM) operator and VIKOR method. Firstly, we define operation rules and a new aggregation operator of Pythagorean uncertain linguistic variable(PULV) and explore some properties of the operator.Secondly, taking the decision makers' hesitation degree into account, a new score function is defined, and we further develop a new group decision making approach integrated with VIKOR method. Finally, an investment example is demonstrated to elaborate the validity of the proposed method. Sensibility analysis and comprehensive comparisons with another two methods are performed to show the stability and advantage of our method. 展开更多
关键词 Hamy mean(HM) OPERATOR multi-ATTRIBUTE group decision making(MAGDM) PYTHAGOREAN fuzzy set PYTHAGOREAN UNCERTAIN LINGUISTIC variable
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Strategic Renewable Energy Resource Selection Using a Fuzzy Decision-Making Method
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作者 Anas Quteishat M.A.A.Younis 《Intelligent Automation & Soft Computing》 SCIE 2023年第2期2117-2134,共18页
Renewable energy is created by renewable natural resources such as geothermal heat,sunlight,tides,rain,and wind.Energy resources are vital for all countries in terms of their economies and politics.As a result,selecti... Renewable energy is created by renewable natural resources such as geothermal heat,sunlight,tides,rain,and wind.Energy resources are vital for all countries in terms of their economies and politics.As a result,selecting the optimal option for any country is critical in terms of energy investments.Every country is nowadays planning to increase the share of renewable energy in their universal energy sources as a result of global warming.In the present work,the authors suggest fuzzy multi-characteristic decision-making approaches for renew-able energy source selection,and fuzzy set theory is a valuable methodology for dealing with uncertainty in the presence of incomplete or ambiguous data.This study employed a hybrid method for order of preference by resemblance to an ideal solution based on fuzzy analytical network process-technique,which agrees with professional assessment scores to be linguistic phrases,fuzzy numbers,or crisp numbers.The hybrid methodology is based on fuzzy set ideologies,which calculate alternatives in accordance with professional functional requirements using objective or subjective characteristics.The best-suited renewable energy alternative is discovered using the approach presented. 展开更多
关键词 multi characteristic decision making framework fuzzy sets fuzzy theory renewable energy energy resource selection
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Application of Fuzzy Decision-Making Theory and Conflict-Resolution Method to Failure Mode and Effect Analysis of Industrial Valve
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作者 吴世青 沈斌 +3 位作者 王家海 郑大腾 KUNZE Markus FLEISCHER Juergen 《Journal of Donghua University(English Edition)》 EI CAS 2017年第2期184-188,共5页
It is not objective to rate the decision-making factors in the traditional failure mode and effect analysis,so fuzzy semantic theory is used in this paper.Six fuzzy semantic scales and their corresponding semantics ar... It is not objective to rate the decision-making factors in the traditional failure mode and effect analysis,so fuzzy semantic theory is used in this paper.Six fuzzy semantic scales and their corresponding semantics are summarized,and a defuzzification method is studied to obtain the fuzzy value table of the six fuzzy semantic scales.For the conflicts between experts in the traditional failure mode and effects analysis,a conflict-resolution algorithm is studied to obtain the failure risk order.Finally,a certain type of industrial valve is used as an example to prove the validity of the theory proposed in this paper. 展开更多
关键词 failure mode and effect analysis fuzzy semantic multiobject decision-making conflict-resolution
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Fuzzy Decision Method Applied in Action of Reactive Power Compensation Devices in Wind System
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作者 Xueming Li Li Feng +1 位作者 Yi Tang Yonghua Chen 《Journal of Power and Energy Engineering》 2014年第4期280-287,共8页
Frequent occurrence of large-scale cascading trip-off of wind turbine raises the concern about the decision process of ordered control of reactive power compensation devices. The theory of fuzzy multi-attribute decisi... Frequent occurrence of large-scale cascading trip-off of wind turbine raises the concern about the decision process of ordered control of reactive power compensation devices. The theory of fuzzy multi-attribute decision making is adopted to ascertain the action sequence of reactive power compensation devices. First, a set of evaluation indexes including control sensitivity, regulation margin, response time, response level and cost is set up, and fuzziness of the proposed qualitative indexes is introduced to make them comparable to the proposed quantitative indexes. Then a method to calculate fuzzy weight of each index is put forward for evaluating relative importance of the proposed indexes. Finally, the action sequence of reactive power compensation devices is determined through the theory of fuzzy compromise decision making. The case study shows that the proposed method is effective to obtain the action sequence of reactive power compensation device which correspond to experience. 展开更多
关键词 WIND POWER SYSTEM Reactive POWER Compensation Device ORDERED Control fuzzy multi-ATTRIBUTE decision making Evaluation Index
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基于GRA-GCRITIC和改进加权双向投影的区间Fermatean模糊多属性群决策方法
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作者 赵敬华 施佳 +1 位作者 荣海迎 林杰 《计算机应用研究》 CSCD 北大核心 2024年第2期493-500,共8页
针对司法案件决策环境的复杂性及评价信息的模糊性,提出一种基于GRA-GCRITIC(grey relational analysis-group criteria importance through intercriteria correlation)和改进加权双向投影的区间Fermatean模糊Hamacher-TODIM多属性群... 针对司法案件决策环境的复杂性及评价信息的模糊性,提出一种基于GRA-GCRITIC(grey relational analysis-group criteria importance through intercriteria correlation)和改进加权双向投影的区间Fermatean模糊Hamacher-TODIM多属性群决策方法。首先考虑到各位专家对各评价方案下各指标评价信息的差异性,提出一种GRA-GCRITIC方法,该方法将灰色关联融入到CRITIC中,以确定指标综合权重比单一获取的指标权重更加客观可靠;其次,结合信任关系对加权双向投影法进行改进,兼顾主客观关系,利用专家个体与群体评价信息的隶属度及非隶属度矩阵间的相似度得到专家权重;最后,考虑到决策者的损失规避心理,将融合了Hamacher算子的TODIM方法拓展至区间Fermatean模糊环境中,通过具体算例可得到其综合优势度及排序,验证了所提方法的可行性及灵活性。 展开更多
关键词 区间Fermatean模糊 GRA-GCRITIC 改进加权双向投影 Hamacher-TODIM 多属性群决策
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A MULTI-CRITERIA DECISION MAKING PROCEDURE BASED ON INTERVAL-VALUED INTUITIONISTIC FUZZY BONFERRONI MEANS 被引量:11
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作者 Zeshui XU 《Journal of Systems Science and Systems Engineering》 SCIE EI CSCD 2011年第2期217-228,共12页
关键词 Bonferroni mean interval-valued intuitionistic fuzzy number multi-criteria decision making interval-valued intuitionistic fuzzy Bonferroni mean weighted interval-valued intuitionistic fuzzy Bonferroni mean
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Multi-Criteria Decision Making Based on Correlation Coefficient of Triangular Intuitionistic Fuzzy Numbers 被引量:3
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作者 WU Di YAN Xiangbin +1 位作者 PENG Rui MA Xiaoyang 《Journal of Shanghai Jiaotong university(Science)》 EI 2019年第4期480-484,共5页
We study a multi-criteria fuzzy decision-making method based on weighted triangular intuitionistic fuzzy number correlation coefficients. Under the scenario that criteria weights for alternatives are completely unknow... We study a multi-criteria fuzzy decision-making method based on weighted triangular intuitionistic fuzzy number correlation coefficients. Under the scenario that criteria weights for alternatives are completely unknown, triangular intuitionistic fuzzy method can not only supplement the insufficiency of the method based on the distance but also endow more information to the estimation and reduce the loss of evaluation information.Among the triangular numbers, two boundary numbers are the maximum and minimum values of the interval respectively, and the medium number is the most possible value under subjective estimation. Using this method,we propose a new way to obtain the criteria weights with more information quantity. By ranking the relative closeness of the weighted correlation coefficients between each alternative, and the critical and ideal alternatives,we show the method to figure out the most suitable alternative based on the expected criteria. An illustrative example is also taken into account to prove the effectiveness of the model. 展开更多
关键词 multi-CRITERIA decision making correlation coefficient TRIANGULAR intuitionistic fuzzy NUMBERS RELATIVE CLOSENESS
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基于多粒度概率粗糙集与MULTIMOORA的q-RO模糊多属性群决策
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作者 白文慧 张超 +3 位作者 陈炜哲 李德玉 上官学奎 马瑾男 《重庆邮电大学学报(自然科学版)》 CSCD 北大核心 2021年第5期769-779,共11页
为了探索q-RO(q-rung orthopair)模糊信息系统中具备稳定决策结果的多属性群决策方法,依据多粒度概率粗糙集与MULTIMOORA(multi-objective optimization by ratio analysis plus the full MULTIplicative form)建立了一种新的q-RO模糊... 为了探索q-RO(q-rung orthopair)模糊信息系统中具备稳定决策结果的多属性群决策方法,依据多粒度概率粗糙集与MULTIMOORA(multi-objective optimization by ratio analysis plus the full MULTIplicative form)建立了一种新的q-RO模糊多粒度计算模型,并用于求解多属性群决策问题。结合q-RO模糊概率粗糙集与多粒度粗糙集,提出了多粒度q-RO模糊概率粗糙集模型。利用离差最大化法计算属性权重与决策者权重,进一步建立了基于多粒度概率粗糙集与MULTIMOORA的q-RO模糊多属性群决策方法,该方法考虑了决策风险与容错能力,可提供稳定的决策结果。通过2个实际算例验证了所建立方法的可行性与有效性。 展开更多
关键词 多粒度 概率粗糙集 q-RO模糊信息系统 多属性群决策 multiMOORA
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计及群体压力和群体极化的PDHFSs-TODIM多属性群体决策算法
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作者 袁畅 孙永辉 +2 位作者 王森 武云逸 周伟 《浙江大学学报(理学版)》 CAS CSCD 北大核心 2024年第4期407-417,共11页
在概率对偶犹豫模糊环境下的多属性决策中,针对决策过程一般未考虑决策专家在讨论中所受的群体压力和群体极化的问题,提出了一种计及群体压力和群体极化的概率对偶犹豫模糊集-拓扑判别目标间方法(probabilistic discriminative heteroge... 在概率对偶犹豫模糊环境下的多属性决策中,针对决策过程一般未考虑决策专家在讨论中所受的群体压力和群体极化的问题,提出了一种计及群体压力和群体极化的概率对偶犹豫模糊集-拓扑判别目标间方法(probabilistic discriminative heterogeneous fuzzy sets-topological discriminative inter-objective method,PDHFSsTODIM)的多属性群体决策算法。首先,定义了考虑群体压力的决策信息修正公式,有效削弱群体压力对专家决策信息的影响;然后,搭建了一种考虑群体极化现象的决策模型,该模型充分考虑了专家的主观性,为专家讨论和修正决策提供了机会,通过分配动态决策权重提高决策的置信度,并通过群体极化阈值约束群体的极化效应;进一步,将计算得到的决策数据输入改进的TODIM算法,得到最终决策结果。将算法运用于储能电池综合性能评估分析,通过与其他先进决策算法做对比,验证了所提算法的可靠性与准确性。 展开更多
关键词 概率对偶犹豫模糊集 多属性群体决策 群体压力
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Model for Solving Fuzzy Multiple Objective Problem
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作者 Ritika Chopra Ratnesh R. Saxena 《American Journal of Operations Research》 2013年第1期65-69,共5页
In real world decision making problems, the decision maker has to often optimize more than one objective, which might be conflicting in nature. Also, it is not always possible to find the exact values of the input dat... In real world decision making problems, the decision maker has to often optimize more than one objective, which might be conflicting in nature. Also, it is not always possible to find the exact values of the input data and related parameters due to incomplete or unavailable information. This work aims at developing a model that solves a multi objective distribution programming problem involving imprecise available supply, forecast demand, budget and unit cost/ profit coefficients with triangular possibility distributions. This algorithm aims to simultaneously minimize cost and maximize profit with reference to available supply constraint at each source, forecast demand constraint at each destination and budget constraint. An example is given to demonstrate the functioning of this algorithm. 展开更多
关键词 decision making Problems multi Objective Distribution PROGRAMMING PROBLEM fuzzy Set Theory
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Human Centered Design in Multi-agent Virtual Environment 被引量:1
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作者 WANG Zhao-hui ZHENG Guo-lei ZHU Xin-xiong 《Computer Aided Drafting,Design and Manufacturing》 2007年第2期49-57,共9页
The efficient and reliable human centered design of products and processes is a major goal in manufacturing industries for numerous human factors must be taken into account during the entire life cycle of products. A ... The efficient and reliable human centered design of products and processes is a major goal in manufacturing industries for numerous human factors must be taken into account during the entire life cycle of products. A multi-agents intelligent design system is presented for manufacturing process simulation and products' ergonomic analysis. In virtual design environment, the virtual human with high-level intelligence performs tasks' operation autonomously and shows optimum posture configuration with ergonomic assessment results in real time. The functions are realized by intelligent agents architecture based on a modem approach derived from fuzzy multi-objects decision-making theory. A case study is presented to demonstrate the feasibility of the suggested methodology. 展开更多
关键词 virtual human fuzzy multi-objective decisions making multi-agents system autonomous behavior
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Trapezoidal Intuitionistic Fuzzy Aggregation Operator Based on Choquet Integral and Its Application to Multi-Criteria Decision-Making Problems
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作者 Xi-hua Li Xiao-hong Chen 《Frontiers of Engineering Management》 2015年第3期266-276,共11页
The Choquet integral can serve as a useful tool to aggregate interacting criteria in an uncertain environment. In this paper, a trapezoidal intuitionistic fuzzy aggregation operator based on the Choquet integral is pr... The Choquet integral can serve as a useful tool to aggregate interacting criteria in an uncertain environment. In this paper, a trapezoidal intuitionistic fuzzy aggregation operator based on the Choquet integral is proposed for multi-criteria decision-making problems. The decision information takes the form of trapezoidal intuitionistic fuzzy numbers and both the importance and the interaction information among decision-making criteria are considered. On the basis of the introduction of trapezoidal intuitionistic fuzzy numbers, its operational laws and expected value are defined. A trapezoidal intuitionistic fuzzy aggregation operator based on the Choquet integral is then defined and some of its properties are investigated. A new multi-criteria decision-making method based on a trapezoidal intuitionistic fuzzy Choquet integral operator is proposed. Finally, an illustrative example is used to show the feasibility and availability of the proposed method. 展开更多
关键词 multi-criteria decision making trapezoidal intuitionistic fuzzy numbers Choquet integral fuzzy measure aggregation operator
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