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Optimal decision rules acquisition in incomplete and Fuzzy Decision Information System 被引量:2
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作者 XIAO Hui-jun WEI Da-kuan 《通讯和计算机(中英文版)》 2008年第2期12-18,共7页
关键词 最优化原则 模糊决策 信息技术 矩阵
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Attribute Reduction Based on Inclusion Degree for Incomplete and Fuzzy Decision Information Systems 被引量:1
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作者 Dakuan Wei Lujin Tang 《通讯和计算机(中英文版)》 2006年第5期22-28,共7页
关键词 自扩充翻译程序 程序级别 模糊数据 数据结构
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Attribute Reduction of Hybrid Decision Information Systems Based on Fuzzy Conditional Information Entropy 被引量:1
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作者 Xiaoqin Ma Jun Wang +1 位作者 Wenchang Yu Qinli Zhang 《Computers, Materials & Continua》 SCIE EI 2024年第5期2063-2083,共21页
The presence of numerous uncertainties in hybrid decision information systems(HDISs)renders attribute reduction a formidable task.Currently available attribute reduction algorithms,including those based on Pawlak attr... The presence of numerous uncertainties in hybrid decision information systems(HDISs)renders attribute reduction a formidable task.Currently available attribute reduction algorithms,including those based on Pawlak attribute importance,Skowron discernibility matrix,and information entropy,struggle to effectively manages multiple uncertainties simultaneously in HDISs like the precise measurement of disparities between nominal attribute values,and attributes with fuzzy boundaries and abnormal values.In order to address the aforementioned issues,this paper delves into the study of attribute reduction withinHDISs.First of all,a novel metric based on the decision attribute is introduced to solve the problem of accurately measuring the differences between nominal attribute values.The newly introduced distance metric has been christened the supervised distance that can effectively quantify the differences between the nominal attribute values.Then,based on the newly developed metric,a novel fuzzy relationship is defined from the perspective of“feedback on parity of attribute values to attribute sets”.This new fuzzy relationship serves as a valuable tool in addressing the challenges posed by abnormal attribute values.Furthermore,leveraging the newly introduced fuzzy relationship,the fuzzy conditional information entropy is defined as a solution to the challenges posed by fuzzy attributes.It effectively quantifies the uncertainty associated with fuzzy attribute values,thereby providing a robust framework for handling fuzzy information in hybrid information systems.Finally,an algorithm for attribute reduction utilizing the fuzzy conditional information entropy is presented.The experimental results on 12 datasets show that the average reduction rate of our algorithm reaches 84.04%,and the classification accuracy is improved by 3.91%compared to the original dataset,and by an average of 11.25%compared to the other 9 state-of-the-art reduction algorithms.The comprehensive analysis of these research results clearly indicates that our algorithm is highly effective in managing the intricate uncertainties inherent in hybrid data. 展开更多
关键词 Hybrid decision information systems fuzzy conditional information entropy attribute reduction fuzzy relationship rough set theory(RST)
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Three-Way Behavioral Decision Making With Hesitant Fuzzy Information Systems:Survey and Challenges 被引量:2
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作者 Jianming Zhan Jiajia Wang +1 位作者 Weiping Ding Yiyu Yao 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2023年第2期330-350,共21页
Three-way decision(T-WD)theory is about thinking,problem solving,and computing in threes.Behavioral decision making(BDM)focuses on effective,cognitive,and social processes employed by humans for choosing the optimal o... Three-way decision(T-WD)theory is about thinking,problem solving,and computing in threes.Behavioral decision making(BDM)focuses on effective,cognitive,and social processes employed by humans for choosing the optimal object,of which prospect theory and regret theory are two widely used tools.The hesitant fuzzy set(HFS)captures a series of uncertainties when it is difficult to specify precise fuzzy membership grades.Guided by the principles of three-way decisions as thinking in threes and integrating these three topics together,this paper reviews and examines advances in three-way behavioral decision making(TW-BDM)with hesitant fuzzy information systems(HFIS)from the perspective of the past,present,and future.First,we provide a brief historical account of the three topics and present basic formulations.Second,we summarize the latest development trends and examine a number of basic issues,such as one-sidedness of reference points and subjective randomness for result values,and then report the results of a comparative analysis of existing methods.Finally,we point out key challenges and future research directions. 展开更多
关键词 Hesitant fuzzy information system(HFIS) prospect theory regret theory three-way decision(T-WD)
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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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Lower Approximation Reduction in Ordered Information System with Fuzzy Decision 被引量:1
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作者 Xiaoyan Zhang Weihua Xu 《Applied Mathematics》 2011年第7期918-921,共4页
Attribute reduction is one of the most important problems in rough set theory. This paper introduces the concept of lower approximation reduction in ordered information systems with fuzzy decision. Moreover, the judgm... Attribute reduction is one of the most important problems in rough set theory. This paper introduces the concept of lower approximation reduction in ordered information systems with fuzzy decision. Moreover, the judgment theorem and discernable matrix are obtained, in which case an approach to attribute reduction in ordered information system with fuzzy decision is constructed. As an application of lower approximation reduction, some examples are applied to examine the validity of works obtained in our works.. 展开更多
关键词 fuzzy decision LOWER APPROXIMATION REDUCTION ORDERED information systems ROUGH Set
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The Approach to Probabilistic Decision-Theoretic Rough Set in Intuitionistic Fuzzy Information Systems 被引量:3
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作者 Binbin Sang Xiaoyan Zhang 《Intelligent Information Management》 2020年第1期1-26,共26页
For the moment, the representative and hot research is decision-theoretic rough set (DTRS) which provides a new viewpoint to deal with decision-making problems under risk and uncertainty, and has been applied in many ... For the moment, the representative and hot research is decision-theoretic rough set (DTRS) which provides a new viewpoint to deal with decision-making problems under risk and uncertainty, and has been applied in many fields. Based on rough set theory, Yao proposed the three-way decision theory which is a prolongation of the classical two-way decision approach. This paper investigates the probabilistic DTRS in the framework of intuitionistic fuzzy information system (IFIS). Firstly, based on IFIS, this paper constructs fuzzy approximate spaces and intuitionistic fuzzy (IF) approximate spaces by defining fuzzy equivalence relation and IF equivalence relation, respectively. And the fuzzy probabilistic spaces and IF probabilistic spaces are based on fuzzy approximate spaces and IF approximate spaces, respectively. Thus, the fuzzy probabilistic approximate spaces and the IF probabilistic approximate spaces are constructed, respectively. Then, based on the three-way decision theory, this paper structures DTRS approach model on fuzzy probabilistic approximate spaces and IF probabilistic approximate spaces, respectively. So, the fuzzy decision-theoretic rough set (FDTRS) model and the intuitionistic fuzzy decision-theoretic rough set (IFDTRS) model are constructed on fuzzy probabilistic approximate spaces and IF probabilistic approximate spaces, respectively. Finally, based on the above DTRS model, some illustrative examples about the risk investment of projects are introduced to make decision analysis. Furthermore, the effectiveness of this method is verified. 展开更多
关键词 fuzzy decision-Theoretic ROUGH SET Intuitionistic fuzzy information systems Intuitionistic fuzzy decision-Theoretic ROUGH SET PROBABILISTIC Approximate SPACES
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Attribute Reduction in Interval and Set-Valued Decision Information Systems
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作者 Hong Wang Hong-Bo Yue Xi-E Chen 《Applied Mathematics》 2013年第11期1512-1519,共8页
In many practical situation, some of the attribute values for an object may be interval and set-valued. This paper introduces the interval and set-valued information systems and decision systems. According to the sema... In many practical situation, some of the attribute values for an object may be interval and set-valued. This paper introduces the interval and set-valued information systems and decision systems. According to the semantic relation of attribute values, interval and set-valued information systems can be classified into two categories: disjunctive (Type 1) and conjunctive (Type 2) systems. In this paper, we mainly focus on semantic interpretation of Type 1. Then, we define a new fuzzy preference relation and construct a fuzzy rough set model for interval and set-valued information systems. Moreover, based on the new fuzzy preference relation, the concepts of the significance measure of condition attributes and the relative significance measure of condition attributes are given in interval and set-valued decision information systems by the introduction of fuzzy positive region and the dependency degree. And on this basis, a heuristic algorithm for calculating fuzzy positive region reduction in interval and set-valued decision information systems is given. Finally, we give an illustrative example to substantiate the theoretical arguments. The results will help us to gain much more insights into the meaning of fuzzy rough set theory. Furthermore, it has provided a new perspective to study the attribute reduction problem in decision systems. 展开更多
关键词 INTERVAL and SET-VALUED information systemS fuzzy Preference Relation INTERVAL and SET-VALUED decision information systemS fuzzy Positive Region Dependency Degree Significance Measure
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Cooperative maneuver decision making for multi-UAV air combat based on incomplete information dynamic game 被引量:6
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作者 Zhi Ren Dong Zhang +2 位作者 Shuo Tang Wei Xiong Shu-heng Yang 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2023年第9期308-317,共10页
Cooperative autonomous air combat of multiple unmanned aerial vehicles(UAVs)is one of the main combat modes in future air warfare,which becomes even more complicated with highly changeable situation and uncertain info... Cooperative autonomous air combat of multiple unmanned aerial vehicles(UAVs)is one of the main combat modes in future air warfare,which becomes even more complicated with highly changeable situation and uncertain information of the opponents.As such,this paper presents a cooperative decision-making method based on incomplete information dynamic game to generate maneuver strategies for multiple UAVs in air combat.Firstly,a cooperative situation assessment model is presented to measure the overall combat situation.Secondly,an incomplete information dynamic game model is proposed to model the dynamic process of air combat,and a dynamic Bayesian network is designed to infer the tactical intention of the opponent.Then a reinforcement learning framework based on multiagent deep deterministic policy gradient is established to obtain the perfect Bayes-Nash equilibrium solution of the air combat game model.Finally,a series of simulations are conducted to verify the effectiveness of the proposed method,and the simulation results show effective synergies and cooperative tactics. 展开更多
关键词 Cooperative maneuver decision Air combat incomplete information dynamic game Perfect bayes-nash equilibrium Reinforcement learning
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Multi-criteria decision-making approach with incomplete certain information based on ternary AHP 被引量:5
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作者 Wang Jianqiang 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2006年第1期109-114,共6页
It is not uncommon in multiple criteria decision-making that the numerical values of alternatives of some criteria are subject to imprecision, uncertainty and indetermination and the information on weights of criteria... It is not uncommon in multiple criteria decision-making that the numerical values of alternatives of some criteria are subject to imprecision, uncertainty and indetermination and the information on weights of criteria is incomplete certain. A new multiple criteria decision- making method with incomplete certain information based on ternary AHP is proposed. This improves on Takeda's method. In this method, the ternary comparison matrix of the alternatives under each pseudo-criteria is constructed, the eigenvector associated with the maximum eigenvalue of the ternary comparison matrix is attained as to normalize priority vector of the alternatives, then the order of alternatives is obtained by solving two kinds of linear programming problems. Finally, an example is given to show the feasibility and effectiveness of the method. 展开更多
关键词 multi-criteria decision-making incomplete certain information pesudo-eriteria ternary AHP linear programming.
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Emergency Decision-Making Based on q-Rung Orthopair Fuzzy Rough Aggregation Information 被引量:1
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作者 Ahmed B.Khoshaim Saleem Abdullah +1 位作者 Shahzaib Ashraf Muhammad Naeem 《Computers, Materials & Continua》 SCIE EI 2021年第12期4077-4094,共18页
With the frequent occurrences of emergency events,emergency decision making(EDM)plays an increasingly significant role in coping with such situations and has become an important and challenging research area in recent... With the frequent occurrences of emergency events,emergency decision making(EDM)plays an increasingly significant role in coping with such situations and has become an important and challenging research area in recent times.It is essential for decision makers to make reliable and reasonable emergency decisions within a short span of time,since inappropriate decisions may result in enormous economic losses and social disorder.To handle emergency effectively and quickly,this paper proposes a new EDM method based on the novel concept of q-rung orthopair fuzzy rough(q-ROPR)set.A novel list of q-ROFR aggregation information,detailed description of the fundamental characteristics of the developed aggregation operators and the q-ROFR entropy measure that determine the unknown weight information of decision makers as well as the criteria weights are specified.Further an algorithm is given to tackle the uncertain scenario in emergency to give reliable and reasonable emergency decisions.By using proposed list of q-ROFR aggregation information all emergency alternatives are ranked to get the optimal one.Besides this,the q-ROFR entropy measure method is used to determine criteria and experts’weights objectively in the EDM process.Finally,through an illustrative example of COVID-19 analysis is compared with existing EDM methods.The results verify the effectiveness and practicability of the proposed methodology. 展开更多
关键词 q-rung orthopair fuzzy rough set q-ROFR entropy measure aggregation information emergency decision making
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Dynamic Multi-team Antagonistic Games Model with Incomplete Information and Its Application to Multi-UAV 被引量:9
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作者 Wenzhong Zha Jie Chen Zhihong Peng 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI 2015年第1期74-84,共11页
At present, the studies on multi-team antagonistic games (MTAGs) are still in the early stage, because this complicated problem involves not only incompleteness of information and conflict of interests, but also selec... At present, the studies on multi-team antagonistic games (MTAGs) are still in the early stage, because this complicated problem involves not only incompleteness of information and conflict of interests, but also selection of antagonistic targets. Therefore, based on the previous researches, a new framework is proposed in this paper, which is dynamic multi-team antagonistic games with incomplete information (DMTAGII) model. For this model, the corresponding concept of perfect Bayesian Nash equilibrium (PBNE) is established and the existence of PBNE is also proved. Besides, an interactive iteration algorithm is introduced according to the idea of the best response for solving the equilibrium. Then, the scenario of multiple unmanned aerial vehicles (UAVs) against multiple military targets is studied to solve the problems of tactical decision making based on the DMTAGII model. In the process of modeling, the specific expressions of strategy, status and payoff functions of the games are considered, and the strategy is coded to match the structure of genetic algorithm so that the PBNE can be solved by combining the genetic algorithm and the interactive iteration algorithm. Finally, through the simulation the feasibility and effectiveness of the DMTAGII model are verified. Meanwhile, the calculated equilibrium strategies are also found to be realistic, which can provide certain references for improving the autonomous ability of UAV systems. © 2014 Chinese Association of Automation. 展开更多
关键词 ALGORITHMS Computation theory decision making Game theory Genetic algorithms Iterative methods Military vehicles Water craft
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Multi-criteria classification approach with polynomial aggregation function and incomplete certain information 被引量:1
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作者 Wang Jianqiang 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2006年第3期546-550,共5页
The relationship between the importance of criterion and the criterion aggregation function is discussed, criterion's weight and combinational weights between some criteria are defined, and a multi-criteria classific... The relationship between the importance of criterion and the criterion aggregation function is discussed, criterion's weight and combinational weights between some criteria are defined, and a multi-criteria classification method with incomplete certain information and polynomial aggregation function is proposed. First, linear programming is constructed by classification to reference alternative set (assignment examples) and incomplete certain information on criterion's weights. Then the coefficient of the polynomial aggregation function and thresholds of categories are gained by solving the linear programming. And the consistency index of alternatives is obtained, the classification of the alternatives is achieved. The certain criteria's values of categories and uncertain criteria's values of categories are discussed in the method. Finally, an example shows the feasibility and availability of this method. 展开更多
关键词 multi-criteria decision-making incomplete certain information polynomial function classification.
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Fuzzy Privacy Decision for Context-Aware Access Personal Information
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作者 ZHANG Qingsheng QI Yong ZHAO Jizhong HOU Di NIU Yujie 《Wuhan University Journal of Natural Sciences》 CAS 2007年第5期941-945,共5页
A context-aware privacy protection framework was designed for context-aware services and privacy control methods about access personal information in pervasive environment. In the process of user's privacy decision, ... A context-aware privacy protection framework was designed for context-aware services and privacy control methods about access personal information in pervasive environment. In the process of user's privacy decision, it can produce fuzzy privacy decision as the change of personal information sensitivity and personal information receiver trust. The uncertain privacy decision model was proposed about personal information disclosure based on the change of personal information receiver trust and personal information sensitivity. A fuzzy privacy decision information system was designed according to this model. Personal privacy control policies can be extracted from this information system by using rough set theory. It also solves the problem about learning privacy control policies of personal information disclosure. 展开更多
关键词 CONTEXT-AWARE privacy decision fuzzy objective information system rough set theory
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Optimization in Site Selection of Wind Turbine for Energy Using Fuzzy Logic System and GIS—A Case Study for Gujarat
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作者 Kunal Kumar Borah Souvnik Roy T. Harinarayana 《Open Journal of Optimization》 2013年第4期116-122,共7页
The development of new wind energy project requires studying of many parameters to achieve maximum benefits at the cost of minimum environmental impacts. Using Geographic Information System (GIS), an analytical framew... The development of new wind energy project requires studying of many parameters to achieve maximum benefits at the cost of minimum environmental impacts. Using Geographic Information System (GIS), an analytical framework has been developed in this paper with fuzzy logic to evaluate the suitable site for turbines for optimum energy output. The criteria for suitable site for energy optimization are environmental, physical and human factors. The present study helps to assess the appropriate sites for the wind turbines in Gujarat. The result obtained from the study conveys the suitability of the development of wind turbines along the western parts of Gujarat. The suggested model could be used for the future site selection of the wind turbine which in turn could be of orientation for energy planners and decision makers. 展开更多
关键词 OPTIMIZATION Wind Turbine Placement GEOGRAPHIC information system fuzzy Logic fuzzy Sets PARETO Surface MULTI-CRITERIA decision Making
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Fuzzy VIKOR Approach to Evaluate the Information Security Policies and Analyze the Content of Press Agencies in Gulf Countries
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作者 Amir Mohamed Talib 《Journal of Information Security》 2020年第4期189-200,共12页
A news agency is an organization that gathers news reports and sells them to subscribing news organization, such as newspapers, magazines, radio and television broadcasters. A news agency may also be referred to as a ... A news agency is an organization that gathers news reports and sells them to subscribing news organization, such as newspapers, magazines, radio and television broadcasters. A news agency may also be referred to as a wire service, newswire, or news service. The main purpose of this paper is to evaluate the security policies and analyze the content of five press agencies in gulf countries which are (Kuwait News Agency (KUNA), Emirates News Agency (WAM), Saudi Press Agency (SPA), Bahrain News Agency (BNA), and Oman News Agency (OMA)) by using a fuzzy VIKOR approach where linguistic variables are applied to solve the uncertainties and subjectivities in expert decision making. Fuzzy VIKOR approach is one of the best Multi-Criteria Decision Making (MCDM) techniques working in fuzzy environment. This study benefits security and content analysis experts know which press agency has the mandate and the competence to educate the public on news agencies. Besides, this paper contributes to Gulf agencies in helping them in their resolve to ensure the quality of content information and information security policies over the internet. 展开更多
关键词 Content Analysis fuzzy VIKOR Approach Gulf Countries information Security Policy Press Agencies Multi-Criteria decision Making (MCDM) Online information Quality
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Analyzing Two-Sided Incomplete Information Simultaneous and Sequential Games with Bayesian Equilibrium by Iterative Conjectures Approach
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作者 Jimmy Teng 《通讯和计算机(中英文版)》 2013年第1期90-96,共7页
关键词 不完全信息 贝叶斯均衡 游戏理论 猜想 迭代 双面 统计决策理论 平衡
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Evaluating Watershed Vulnerability in Bernalillo County, New Mexico Using Expert Testimony, Fuzzy Analytic Hierarchy Process, and GIS 被引量:1
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作者 Tracy Sadler Clinton P. Richardson Phillip Miller 《Journal of Water Resource and Protection》 2019年第7期866-885,共20页
Geographic Information System (GIS) software was used to create a watershed vulnerability model for Bernalillo County, New Mexico. Watershed vulnerability was investigated as a function of soil erosion and infiltratio... Geographic Information System (GIS) software was used to create a watershed vulnerability model for Bernalillo County, New Mexico. Watershed vulnerability was investigated as a function of soil erosion and infiltration criteria: precipitation, land slope, soil erodibility (K-factor), vegetation cover (NDVI), land use, drainage density, saturated hydraulic conductivity, and hydrologic soil group. Respective criteria weights were derived using a Fuzzy Analytic Hierarchy Process (FAHP) supported by expert opinion. A survey of 10 experts, representing New Mexico Institute of Mining and Technology (NMT), the New Mexico Bureau of Geology and Mineral Resources (NMBGMR), and the United States Geologic Survey (USGS), provided model input data for an integrated pair-wise comparison matrix for soil erosion and for infiltration. Individual criteria weights were determined by decomposing the respective fuzzy synthetic extent matrix using the centroid method. GIS layers were then combined based on criteria weights to produce maps of soil erosion potential and infiltration potential. A composite watershed vulnerability map was generated by equal weighting of each input map. Model results were categorized into five vulnerability categories: not vulnerable (N), slightly vulnerable (SV), moderately vulnerable (MV), highly vulnerable (HV), and extremely vulnerable (EV). The resulting FAHP/GIS model was used to generate a watershed vulnerability map of discrete areas in Bernalillo County, which may be vulnerable to stormwater run-off events and soil erosion. Such high volume run-off events can cause erosion damage to property and infrastructure. Alternatively, in areas near urban development, stormwater run-off may contribute non-point-source pollutant contamination of New Mexico’s surface water resources. The most problematic areas in Bernalillo County are present in the Eastern and Northwestern portions. However, less than 1% of the total area lies within the lowest and highest vulnerability categories with the majority centered around moderate vulnerability. The results of the model were compared with a previously published crisp AHP method. Both methods showed similar regional vulnerability trends. This MCDS/GIS approach is intended to provide support to local governments and decision makers in selection of suitable structural or nonstructural stormwater control measures. 展开更多
关键词 STORMWATER Control Measures fuzzy Analytic Hierarchy Process (FAHP) MULTI-CRITERIA decision Support systems GEOGRAPHIC information system WATERSHED VULNERABILITY
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Fusion of multiagent preference orderings with information on agent's importance being incomplete certain
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作者 Wang Jianqiang 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2007年第4期801-805,共5页
The problem of fusing multiagent preference orderings, with information on agent's importance being incomplete certain with respect to a set of possible courses of action, is described. The approach is developed for ... The problem of fusing multiagent preference orderings, with information on agent's importance being incomplete certain with respect to a set of possible courses of action, is described. The approach is developed for dealing with the fusion problem described in the following sections and requires that each agent provides a preference ordering over the different alternatives completely independent of the other agents, and the information on agent's importance is incomplete certain. In this approach, the ternary comparison matrix of the alternatives is constructed, the eigenvector associated with the maximum eigenvalue of the ternary comparison matrix is attained so as to normalize priority vector of the alternatives. The interval number of the alternatives is then obtained by solving two sorts of linear programming problems. By comparing the interval numbers of the alternatives, the ranking of alternatives can be generated. Finally, some examples are given to show the feasibility and effectiveness of the method. 展开更多
关键词 decision making FUSION incomplete certain information preference ordering ternary AHP MULTIAGENT
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信息不完全的Fuzzy群体多准则决策的规划方法 被引量:31
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作者 王坚强 《系统工程与电子技术》 EI CSCD 北大核心 2004年第11期1604-1608,1722,共6页
提出了一种准则权系数和决策者权系数信息都不完全,且决策者存在风险态度的Fuzzy群体多准则决策方法。该方法通过利用准则权系数的不完全信息构造各方案针对不同决策者的Fuzzy线性规划,利用Fuzzyα 截集和区间数的性质,将Fuzzy线性规划... 提出了一种准则权系数和决策者权系数信息都不完全,且决策者存在风险态度的Fuzzy群体多准则决策方法。该方法通过利用准则权系数的不完全信息构造各方案针对不同决策者的Fuzzy线性规划,利用Fuzzyα 截集和区间数的性质,将Fuzzy线性规划转化为线性规划,求解综合后的线性规划得到各方案针对不同决策者的评价模糊数。然后利用决策者的不完全信息构造Fuzzy线性规划,将Fuzzy线性规划转换成为一般线性规划问题,求解综合后的线性规划问题,得到方案的群体评价模糊数。对决策者的风险态度进行集成得到群体风险态度,利用模糊数的距离公式将群体风险态度与方案的群体评价模糊进行集成得到整个方案集的一个排序。对准则值是梯形模糊数的信息不完全的Fuzzy群体决策方法的实现过程进行了详细讨论。最后通过实例说明该方法的可行性和有效性。 展开更多
关键词 信息不完全 fuzzy群体多准则决策 模糊数
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