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Hexadecagonal Fuzzy Numbers: Novel Ranking and Defuzzification Techniques for Fuzzy Matrix Game Problems 六边形模糊数:模糊矩阵博弈问题的新排序和去模糊化技术
IF 1.2 Q2 MATHEMATICS, APPLIED Pub Date : 2022-01-02 DOI: 10.1080/16168658.2021.2019969
V. Jangid, Ganesh Kumar
With the help of various different representations of a hexadecagonal fuzzy number, this paper investigates the uncertainty associated with ambiguity and imprecision in the results of 16-component game scenarios. Numerous membership functions for alpha-cuts are established in terms of symmetrical and asymmetrical situations. We look at the centroid methodology, as well as the mean of the alpha-cut technique, the mean of the bounded area removal method and the bounded area included by the fuzzy number. A new centroid-based technique is used to rank two hexadecagonal fuzzy numbers. Defuzzification approaches have also been used to numerical examples based on fuzzy game theory in order to illustrate the effectiveness of the techniques.
借助各种不同的十六进制模糊数表示,本文研究了16分量博弈场景中与模糊性和不精确性相关的不确定性。在对称和不对称情况下,建立了大量的alpha-cuts的隶属函数。我们研究了质心法,以及α切法的均值,有界区域去除法的均值和模糊数包含的有界区域。提出了一种新的基于质心的模糊数排序方法。为了说明该方法的有效性,还将解模糊化方法应用于基于模糊博弈论的数值实例。
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引用次数: 4
A Soft-Computing Approach to Fuzzy EOQ Model for Deteriorating Items with Partial Backlogging 部分积压劣化物品模糊EOQ模型的软计算方法
IF 1.2 Q2 MATHEMATICS, APPLIED Pub Date : 2022-01-02 DOI: 10.1080/16168658.2021.1915457
Pallavi Agarwal, Ajay Sharma, Neeraj Kumar
Genetic Algorithm (GA) is an optimized method to find a perfect solution which is based on general genetic process of life cycle. In this article we discussed a crisp and a fuzzy inventory model keeping its demand rate constant for the imprecision and uncertainly deteriorating items with special reference to shortage and partially backlogging systems. The objective of this paper is to minimize the total cost of fuzzy inventory environment for which Graded mean representation, Signed distance and Centroid methods are used to defuzzify the total cost of the systems. Consequently, we are comparing the total average cost, obtained through these methods with the help of numerical example, and sensitively analysis is also given to show the effects of the values on these items. Moreover, Genetic Algorithm (GA) is also applied to the optimistic value of the total cost of the crisp model for the effective and fruitful results.
遗传算法是一种基于生命周期一般遗传过程的寻优方法。本文讨论了不精确和不确定变质物品保持需求率不变的清晰和模糊库存模型,并特别考虑了短缺和部分积压系统。本文以模糊库存环境下的总成本最小为目标,采用梯度均值表示法、符号距离法和质心法对系统的总成本进行解模糊。因此,我们将通过数值算例对这些方法得到的总平均成本进行比较,并对数值对这些项目的影响进行了敏感性分析。此外,还将遗传算法(GA)应用于crisp模型的总成本的最乐观值,以获得有效而富有成效的结果。
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引用次数: 2
A Hybrid Method for Recommendation Systems based on Tourism with an Evolutionary Algorithm and Topsis Model 基于进化算法和Topsis模型的旅游推荐系统混合方法
IF 1.2 Q2 MATHEMATICS, APPLIED Pub Date : 2022-01-02 DOI: 10.1080/16168658.2021.2019430
Saman Forouzandeh, M. Rostami, Kamal Berahmand
Recommender systems have been pervasively applied as a technique of suggesting travel recommendations to tourists. Actually, recommendation systems significantly contribute to the decision-making process of tourists. A new approach of recommendation systems in the tourism industry by a combination of the Artificial Bee Colony (ABC) algorithm and Fuzzy TOPSIS is proposed in the present paper. A multi-criteria decision-making method called the Techniques for Order of Preference by Similarity to Ideal Solution (TOPSIS) has been applied for the purpose of optimizing the system. Data were gathered through a 1015 online questionnaire on the Facebook social media site. In the first stage, the TOPSIS model defines a positive ideal solution in the form of a matrix with four columns, which indicates factors that get involved in this study. In the second stage, the ABC algorithm starts to search amongst destinations and recommends the best tourist spot to users.
推荐系统作为一种向游客推荐旅游的技术已经被广泛应用。实际上,推荐系统对游客的决策过程有很大的帮助。本文提出了一种将人工蜂群(ABC)算法与模糊TOPSIS相结合的旅游行业推荐系统的新方法。为了对系统进行优化,采用了一种多准则决策方法,即理想解相似偏好排序技术(TOPSIS)。数据是通过Facebook社交媒体网站上的1015份在线问卷收集的。在第一阶段,TOPSIS模型以四列矩阵的形式定义了一个正理想解,它表示了本研究涉及的因素。第二阶段,ABC算法开始在目的地中搜索,并向用户推荐最佳旅游景点。
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引用次数: 34
Multilayer Decision-Based Fuzzy Logic Model to Navigate Mobile Robot in Unknown Dynamic Environments 基于多层决策的模糊逻辑模型在未知动态环境中导航移动机器人
IF 1.2 Q2 MATHEMATICS, APPLIED Pub Date : 2021-12-28 DOI: 10.1080/16168658.2021.2019432
Farah Kamil, Mohammed Yasser Moghrabiah
The investigation into mobile robot navigation under uncertain dynamic environments is of great significance. This paper seeks to solve the current problems which are the difficulty to plan in indeterminate ever-changing environments, the problem of optimality, failure in complex situations, and the problem of predicting the obstacle velocity vector. The objective of this study is to propose a multilayer decision-based fuzzy logic model to find the solution for robot navigation through a safe path while preventing any types of barriers and to understand the non-collision mobile robots’ movement in an unknown dynamic environment. In this study, the prediction and priority rules of a multilayer decision are used by the fuzzy logic controller to improve the quality of the next position with regard to its path length, safety, and runtime. The results of comparison studies revealed a considerable improvement in failure rate and path length. Outcomes show that the suggested method displays attractive features, for instance, great stability, great optimality, zero failure rates, and low running time. The average path length for all test environments is 13.11 with 0.47 a standard deviation that provides 89% of an average optimality rate. The average running time is about 5.31 s with a 0.25 standard deviation.
研究不确定动态环境下的移动机器人导航问题具有重要意义。本文旨在解决当前在不确定多变环境下的规划困难问题、最优性问题、复杂情况下的失效问题以及障碍物速度矢量的预测问题。本研究的目的是提出一种基于多层决策的模糊逻辑模型,以寻找机器人在不受任何类型障碍物的情况下通过安全路径的解决方案,并了解在未知动态环境中无碰撞移动机器人的运动。在本研究中,模糊逻辑控制器使用多层决策的预测和优先级规则来提高下一个位置在路径长度,安全性和运行时间方面的质量。比较研究的结果显示,失败率和路径长度有相当大的改善。结果表明,该方法具有稳定性好、最优性好、故障率为零、运行时间短等特点。所有测试环境的平均路径长度为13.11,标准偏差为0.47,提供了89%的平均最优率。平均运行时间约为5.31 s,标准差为0.25。
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引用次数: 7
Intuitionistic Fuzzy Hub Location Problems: Model and Solution Approach 直觉模糊轮毂定位问题:模型与求解方法
IF 1.2 Q2 MATHEMATICS, APPLIED Pub Date : 2021-12-27 DOI: 10.1080/16168658.2021.2019434
M. Niksirat
One of the most important problems in network design applications is the hub location problem, which is an extension of the facility location problem. The purpose of the problem is to select the least hub nodes from the available nodes so by establishing faster connections between hub nodes, the cost of transferring the entire network traffic is minimised. To deal with uncertainty and hesitation, the traffic amount between origin and destination nodes, the transfer cost, and the cost of establishing hub nodes are considered to be trapezoidal intuitionistic fuzzy numbers. The problem is formulated, and a new approach and a linearisation technique are shown to transform the Intuitionistic Fuzzy Hub Location Problem into a classical one. The transformed problem is solved using integer linear programming algorithms. The feasibility and efficiency of the obtained solutions applied to some airline passenger distribution problem applications are illustrated.
枢纽选址问题是网络设计应用中最重要的问题之一,它是设施选址问题的延伸。该问题的目的是从可用节点中选择最少的集线器节点,以便通过在集线器节点之间建立更快的连接,将传输整个网络流量的成本降至最低。为了处理不确定性和犹豫性,将起点和目的地节点之间的交通量、转移成本和建立枢纽节点的成本考虑为梯形直觉模糊数。提出了一种新的方法和线性化技术,将直觉模糊轮毂定位问题转化为经典轮毂定位问题。用整数线性规划算法求解变换后的问题。最后,将所得解应用于某航空公司客流分配问题的可行性和有效性进行了说明。
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引用次数: 1
Comparison and Evaluation of Built Environment Factors for Developing Pedestrian Urban Travels 发展城市步行旅游的建成环境因素比较与评价
IF 1.2 Q2 MATHEMATICS, APPLIED Pub Date : 2021-10-02 DOI: 10.1080/16168658.2021.2002664
M. Nabipour, S. H. Nasseri, Elnaz Tavakoli Saber
Summary: This study examines the impacts of the built environment on pedestrian urban travels using a fuzzy AHP approach, by taking into account fifteen different variables based on three criteria: network design, environment, and safety. We gathered data from academic and industry experts using a fuzzy-based pairwise comparative survey. Advantage: We adopt two methods for selecting high-priority variables. The average value of cumulative weights, which prioritise variables with a weight greater than the average value, and a variation weights values analysis that divides variables into three groups as high, medium, and low priority depending on the weight pattern slope’s breaking points. The findings indicate that the weights variation approach is more effective. Limit: Because the survey statistical population comprised both academic and industrial experts, a significant amount of effort was spent identifying qualified candidates and gathering the necessary data. Results: The results prioritise effective variables including level of stress, lighting, obstacles on sidewalks, width of sidewalk, sidewalk surface quality, pedestrian bridges, cleanness and density of green areas, access to public transportation, intersection traffic controls, and walking utilities. Furthermore, the findings show that by growing policies on the variables of high and medium priority, up to 68 percent of the objective function can be achieved pedestrian urban commuting will significantly improve.
摘要:本研究基于网络设计、环境和安全三个标准,通过考虑15个不同的变量,采用模糊层次分析法考察了建筑环境对城市行人出行的影响。我们使用基于模糊的两两比较调查从学术和行业专家那里收集数据。优势:我们采用两种方法选择高优先级变量。累积权重的平均值,对权重大于平均值的变量进行优先级排序;变异权重值分析,根据权重模式斜率的断点将变量分为高、中、低三组优先级。结果表明,权值变化法更为有效。限制:由于调查统计人口包括学术和行业专家,因此需要花费大量的精力来确定合格的候选人并收集必要的数据。结果:结果优先考虑了有效变量,包括压力水平、照明、人行道上的障碍物、人行道宽度、人行道表面质量、人行天桥、绿地的清洁度和密度、公共交通的可及性、十字路口交通控制和步行设施。此外,研究结果表明,通过增加高优先级和中等优先级变量的政策,可以实现高达68%的目标函数,城市步行通勤将显着改善。
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引用次数: 3
Solvability, Supersolvability and Schreier Refinement Theorem for L-Subgroups l -子群的可解性、超可解性及Schreier细化定理
IF 1.2 Q2 MATHEMATICS, APPLIED Pub Date : 2021-10-02 DOI: 10.1080/16168658.2021.1997444
N. Ajmal, I. Jahan, B. Davvaz
This paper is in continuation of our previous works. In this paper, we study solvable L-subgroups of an L-group and establish a level subset characterisation for the same. Then, this level subset characterisation has been used to describe solvability of L-subgroups with the help of the notions of normal and subinvariant series of L-subgroups. Moreover, the concept of supersolvable L-subgroups of an L-group has been introduced. It has been established that supersolvable L-groups are closed under the formation of subgroups. Also, commutator L-subgroup of a supersolvable L-subgroup is shown to be nilpotent. In the last, we extend Zassenhaus Lemma to L-setting and utilise it to establish a version of Schreier Refinement Theorem in L-group Theory.
这篇论文是我们以前工作的延续。本文研究了一类l群的可解l子群,并建立了它们的水平子集刻画。然后,借助l -子群的正规级数和次不变级数的概念,利用这一水平子集特征描述了l -子群的可解性。此外,还引入了l群的超可解l子群的概念。证明了超可解l群在子群的形成下是封闭的。此外,还证明了超可解l子群的对易子l子群是幂零的。最后,我们将Zassenhaus引理推广到l集合,并利用它建立了l群理论中Schreier精化定理的一个版本。
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引用次数: 1
Solving Multiobjective Linear Programming Problems with Interval Parameters 求解区间参数多目标线性规划问题
IF 1.2 Q2 MATHEMATICS, APPLIED Pub Date : 2021-10-02 DOI: 10.1080/16168658.2021.2002544
S. Rivaz, Z. Saeidi
In the present paper, a multiobjective linear programming problem under uncertainty, particularly when parameters are given in interval forms, is investigated. In this case, it is assumed that objective coefficients and constraints parameters have arrived in interval numbers. Considering a suitable order relation for interval numbers, a solution procedure for dealing with such a problem is developed. A numerical example is provided to illustrate the efficiency of the solution procedure.
本文研究了不确定条件下的多目标线性规划问题,特别是当参数以区间形式给出时。在这种情况下,假设目标系数和约束参数已经达到区间数。考虑区间数的合适阶关系,给出了处理这类问题的求解过程。算例说明了该方法的有效性。
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引用次数: 3
Optimisation of Thresholds in Probabilistic Rough Sets with Artificial Bee Colony Algorithm 基于人工蜂群算法的概率粗糙集阈值优化
IF 1.2 Q2 MATHEMATICS, APPLIED Pub Date : 2021-10-02 DOI: 10.1080/16168658.2021.2002665
T. Soumya, M. Sabu
The Probabilistic Rough Sets (PRS) theory determines the certainty of an object's inclusion into a class, resulting in the division of the entire data set into three regions under a concept. These regions, namely the positive, negative and boundary regions, are generated using an evaluation function and threshold values. The threshold optimisation and the construction and interpretation of an evaluation function offer various methods in the background. Even though most of the methods in the PRS follow an iterative strategy, they lack a common framework, usually affecting the comparison and overall performance evaluation among these methods. This proposed work aims to minimise the uncertainty in three regions via optimising the thresholds using the Artificial Bee Colony (ABC) algorithm. The ABC algorithm is adapted to generate a common framework that results in different optimal pairs of thresholds with a minimum number of iterations. By considering the probabilistic information about an equivalence class structure, we compare the results obtained from the proposed approach with the state-of-the-art methods like Information-Theoretic Rough Sets, Game-Theoretic Rough sets and Genetic Algorithm-based optimisation. The results reveal that the proposed algorithm outperforms existing techniques and leads to a superior method for threshold optimisation in the PRS.
概率粗糙集(PRS)理论确定了一个对象被包含到一个类中的确定性,从而将整个数据集划分为一个概念下的三个区域。这些区域,即正、负和边界区域,是使用评估函数和阈值生成的。阈值优化和评价函数的构造和解释在后台提供了多种方法。尽管PRS中的大多数方法都遵循迭代策略,但它们缺乏共同的框架,通常会影响这些方法之间的比较和总体性能评估。本文提出的工作旨在通过使用人工蜂群(ABC)算法优化阈值来最小化三个区域的不确定性。ABC算法适用于生成一个通用框架,该框架以最少的迭代次数产生不同的最优阈值对。通过考虑等价类结构的概率信息,我们将所提出的方法与信息论粗糙集、博弈论粗糙集和基于遗传算法的优化等最新方法的结果进行了比较。结果表明,所提出的算法优于现有的技术,并导致一个优越的方法阈值优化的PRS。
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引用次数: 1
Distributed Probabilistic Fuzzy Rule Mining for Clinical Decision Making 临床决策的分布式概率模糊规则挖掘
IF 1.2 Q2 MATHEMATICS, APPLIED Pub Date : 2021-10-02 DOI: 10.1080/16168658.2021.1978803
Samane Sharif, M. Akbarzadeh-T.
INTRODUCTION: With the growing size, complexity, and distributivity of databases, efficiency and scalability have become highly desirable attributes of data mining algorithms in decision support systems. OBJECTIVES: This study aims for a computational framework for clinical decision support systems that can handle inconsistent dataset while also being interpretable and scalable. METHODS: This paper proposes a Distributed Probabilistic Fuzzy Rule Mining (DPFRM) algorithm that extracts probabilistic fuzzy rules from numerical data using a self-organizing multi-agent approach. This agent-based method provides better scalability and fewer rules through agent interactions and rule-sharing. RESULTS: The performance of the proposed approach is investigated on several UCI medical datasets. The DPFRM is also used for predicting the mortality rate of burn patients. Statistical analysis confirms that the DPFRM significantly improves burn mortality prediction by at least 3%. Also, the training time is improved by 17% if implemented by a parallel computer. However, this speedup decreases with increased distributivity, due to the added communication overhead. CONCLUSION: The proposed approach can improve the accuracy of decision making by better handling of inconsistencies within the datasets. Furthermore, noise sensitivity analysis demonstrates that the DPFRM deteriorates more robustly as the noise levels increase.
随着数据库规模、复杂性和分布性的不断增长,效率和可扩展性已成为决策支持系统中数据挖掘算法的高度期望属性。目的:本研究旨在为临床决策支持系统提供一个计算框架,该框架可以处理不一致的数据集,同时也具有可解释性和可扩展性。方法:提出了一种分布式概率模糊规则挖掘(DPFRM)算法,该算法采用自组织多智能体方法从数值数据中提取概率模糊规则。这种基于代理的方法通过代理交互和规则共享提供了更好的可伸缩性和更少的规则。结果:在多个UCI医疗数据集上研究了所提出方法的性能。DPFRM还可用于预测烧伤患者的死亡率。统计分析证实DPFRM显著提高了至少3%的烧伤死亡率预测。此外,如果由并行计算机实现,训练时间将提高17%。然而,由于增加了通信开销,这种加速会随着分布性的增加而降低。结论:所提出的方法可以通过更好地处理数据集内的不一致性来提高决策的准确性。此外,噪声敏感性分析表明,DPFRM的鲁棒性随着噪声水平的增加而增强。
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引用次数: 2
期刊
Fuzzy Information and Engineering
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