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Using Multi-Attribute Decision Methods in Mathematical Modeling to Produce an Order of Merit List of High Valued Terrorists
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作者 william p. fox 《American Journal of Operations Research》 2014年第6期365-374,共10页
The authors present a methodology and an example of preparing an order of merit list to rank terrorist based upon decision maker weights. This research used an old terrorist data set as our base data to keep the infor... The authors present a methodology and an example of preparing an order of merit list to rank terrorist based upon decision maker weights. This research used an old terrorist data set as our base data to keep the information unclassified. This data is used to demonstrate this methodology. The authors perform numerical iterative criteria weight sensitivity analysis to show the effects on the model’s outputs in changes in the weights. Through their analysis the most critical criterion is identified. 展开更多
关键词 RANKING TERRORISTS TOPSIS AHP Criteria WEIGHTS Pairwise Comparisons Sensitivity Analysis
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An Alternative Approach to the Lottery Method in Utility Theory for Game Theory
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作者 william p. fox 《American Journal of Operations Research》 2015年第3期199-208,共10页
In game theory, in order to properly use mixed strategies, equalizing strategies or the Nash arbitration method, we require cardinal payoffs. We present an alternative method to the possible tedious lottery method of ... In game theory, in order to properly use mixed strategies, equalizing strategies or the Nash arbitration method, we require cardinal payoffs. We present an alternative method to the possible tedious lottery method of von Neumann and Morgenstern to change ordinal values into cardinal values using the analytical hierarchy process. We suggest using Saaty’s pairwise comparison with combined strategies as criteria for players involved in a repetitive game. We present and illustrate a methodology for moving from ordinal payoffs to cardinal payoffs. We summarize the impact on how the solutions are achieved. 展开更多
关键词 ANALYTICAL HIERARCHY Process Cardinal UTILITY GAME Theory Payoff MATRIX
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Using Mathematical Models in Decision Making Methodologies to Find Key Nodes in the Noordin Dark Network 被引量:1
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作者 william p. fox Sean F. Everton 《American Journal of Operations Research》 2014年第4期255-267,共13页
A Dark Network is a network that cannot be accessed through tradition means. Once uncovered, to any degree, dark network analysis can be accomplished using the SNA software. The output of SNA software includes many me... A Dark Network is a network that cannot be accessed through tradition means. Once uncovered, to any degree, dark network analysis can be accomplished using the SNA software. The output of SNA software includes many measures and metrics. For each of these measures and metric, the output in ORA additionally provides the ability to obtain a rank ordering of the nodes in terms of these measures. We might use this information in decision making concerning best methods to disrupt or deceive a given dark network. In the Noordin Dark network, different nodes were identified as key nodes based upon the metric used. Our goal in this paper is to use methodologies to identify the key players or nodes in a Dark Network in a similar manner as we previously proposed in social networks. We apply two multi-attribute decision making methods, a hybrid AHP & TOPSIS and an average weighted ranks scheme, to analyze these outputs to find the most influential nodes as a function of the decision makers’ inputs. We compare these methods by illustration using the Noordin Dark Network with seventy-nine nodes. We discuss sensitivity analysis that is applied to the criteria weights in order to measure the change in the ranking of the nodes. 展开更多
关键词 Social NETWORK ANALYSIS Multi-Attribute DECISION Making Analytical Hierarchy Process (AHP) DECISION CRITERION WEIGHTED CRITERION TOPSIS Node Influence Sensitivity ANALYSIS Average WEIGHTED RANKS
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Analysis of the 2007-2008 Writer’s Guild Strike with Game Theory
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作者 william p. fox 《Applied Mathematics》 2015年第12期2132-2141,共10页
In 2007-2008, the writer’s guild of America went on strike in order to receive a better outcome from management. We built a game to analyze the situation. The Nash equilibrium of that game says that the writers shoul... In 2007-2008, the writer’s guild of America went on strike in order to receive a better outcome from management. We built a game to analyze the situation. The Nash equilibrium of that game says that the writers should not strike and that management should maintain the status quo. The equilibrium is quite unattractive to the writers leading to a strike and forcing management to negotiate. We illustrate the results in order to gain insights into the process. We demonstrate finding the Nash equilibrium with both ordinal and then cardinal values. We demonstrate a method to find the cardinal values using the analytical hierarchy processes to measure the utility for the strategies. We show finding the prudential strategies and security levels as well as finding threat levels in this example. We show using the threat level in Nash arbitration leads to a better solution for the writers than using the security levels. 展开更多
关键词 Game Theory AHP ORDINAL UTILITY Cardinal UTILITY Threat Levels NASH ARBITRATION NASH Equilibriums
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骶骨脊索瘤骶骨切除术后的肿瘤转归和功能评价
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作者 CHRISTOpHER A. HULEN THOMAS TEMpLE +5 位作者 william p. fox ANDREW A. SAMA BAR.TH A. GREEN FRANK J. EISMONT 胡永成(译) 费起礼(校) 《骨科动态》 2006年第4期228-234,共7页
背景:骶骨脊索瘤是一种罕见、低度到中度恶性的骨肿瘤,其在及时诊断和适当的治疗方法上仍面临很大的挑战。有关骶骨脊索瘤术后的肿瘤转归和功能结果方面的报道不多。方法:回顾分析1985至2001年间16例因骶骨脊索瘤行骶骨切除术的患者... 背景:骶骨脊索瘤是一种罕见、低度到中度恶性的骨肿瘤,其在及时诊断和适当的治疗方法上仍面临很大的挑战。有关骶骨脊索瘤术后的肿瘤转归和功能结果方面的报道不多。方法:回顾分析1985至2001年间16例因骶骨脊索瘤行骶骨切除术的患者。所有患者均采用顺序前、后路联合入路完成手术。手术康复后每6个月随访一次,对发病、治疗、住院时间、复发率、生存时间、辅助治疗、功能结果以及手术并发症进行评估。结果:确诊时患者的平均年龄为61岁,肿瘤的平均直径为15.2cm,所有患者均同时切除S1或S2。平均随访时间为66个月,在16例患者中,12例出现肿瘤复发。发生转移的平均时间为50个月。4例患者在平均随访94.5个月时临床无疾病,5例患者因为局部复发或远处转移在平均随访31.4个月时死亡。只有1例患者术后膀胱和直肠功能正常,3例行走时无须辅助装置。8例出现伤口并发症,1例发生深静脉血栓。本组阴性肿瘤切除缘和辅助放疗对生存率和局部复发无显著性影响。切除平面越靠近头侧,直肠(p=0.01)和膀胱(p=0.01)控制能力越差。术后并发症常见,且发生率随确诊时肿瘤体积大小的呈正相关(p=0.034)。结论:骶骨脊索瘤的治疗是一项临床艰巨的任务,需要综合方法和大量精力。虽然采用了周密计划、彻底的手术治疗及严格术后随访监测,但是多数患者仍出现局部复发及晚期转移,特别是瘤体较大和更靠近头侧的肿瘤患者。尽管适当地切除肿瘤,术后仍会出现功能明显受损及多种并发症,但也确实存在长期无瘤生存的可能。我们建议,当肿瘤有治愈的可能时,应行完全性切除,并积极地治疗局部复发。可信水平:治疗性研究,Ⅳ级。进一步可信度参见作者介绍。 展开更多
关键词 骶骨脊索瘤 切除术后 骨肿瘤 转归 手术并发症 治疗方法 随访时间 局部复发
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