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Sup-Hesitant Fuzzy p-Ideals of BCI-Algebras bci -代数的超犹豫模糊p理想
IF 1.2 Q2 MATHEMATICS, APPLIED Pub Date : 2021-10-02 DOI: 10.1080/16168658.2021.1993668
M. Mohseni Takallo, R. Borzooei, Y. Jun
The concept of Sup-hesitant fuzzy p-ideal in BCK/BCI-algebras is introduced, and related properties are investigated. A characterisation of Sup-hesitant fuzzy p-ideal of BCK/BCI-algebras is provided. Relations between Sup-hesitant fuzzy p-ideal and Sup-hesitant fuzzy ideal are investigated. Conditions for a Sup-hesitant fuzzy ideal to be a Sup-hesitant fuzzy p-ideal are provided. Characterisation of p-semisimple BCI-algebra is considered. Extension property for Sup-hesitant fuzzy p-ideal is established.
在BCK/ bci -代数中引入了超犹豫模糊p-理想的概念,并研究了相关性质。给出了BCK/ bci -代数的超犹豫模糊p-理想的一个表征。研究了超犹豫模糊理想与超犹豫模糊理想之间的关系。给出了一个超犹豫模糊理想是超犹豫模糊p理想的条件。研究了p-半简单bci -代数的性质。建立了超犹豫模糊p理想的可拓性质。
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引用次数: 2
Some Properties of Rough Pythagorean Fuzzy Sets 粗糙毕达哥拉斯模糊集的一些性质
IF 1.2 Q2 MATHEMATICS, APPLIED Pub Date : 2021-09-02 DOI: 10.1080/16168658.2021.1971143
Amal Kumar Adak, Davood Darvishi Salookolaei
Pythagorean fuzzy sets are advancements of the intuitionistic fuzzy sets and overcome their limitations. In this paper, we exploit the concept of full congruence relation of Pythagorean fuzzy sets and define the lower and upper approximations of Pythagorean fuzzy set. Using the concept of approximations of Pythagorean fuzzy set we introduce the concept of rough Pythagorean fuzzy set.
毕达哥拉斯模糊集是对直觉模糊集的改进,克服了直觉模糊集的局限性。利用了毕达哥拉斯模糊集的满同余关系的概念,定义了毕达哥拉斯模糊集的上下逼近。利用毕达哥拉斯模糊集的近似概念,引入了粗糙毕达哥拉斯模糊集的概念。
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引用次数: 4
The New Fuzzy Analytical Hierarchy Process with Interval Type-2 Trapezoidal Fuzzy Sets and Its Application 区间2型梯形模糊集的新模糊层次分析法及其应用
IF 1.2 Q2 MATHEMATICS, APPLIED Pub Date : 2021-07-03 DOI: 10.1080/16168658.2021.1952760
M. Sam’an, Y. Dasril, M. A. Muslim
The degree of type-1 fuzzy sets membership function cannot express the linguistic variable of a complex problem. The type-2 fuzzy sets as a problem solver such that more fuzziness for constructing membership functions can be handled. Recently, many multi-criteria decision making (MCDM) methods have been expanded using type-2 fuzzy sets. Analytical Hierarchy Process (AHP) is one of the well-known MCDM that can take into account multiple and conflicting criteria at the same time. Our goal is to develop an interval type-2 trapezoidal fuzzy AHP through the new proposed ranking i.e. the modified total integral value. Based on the illustrative examples for trapezoidal type-2 fuzzy sets, the new proposed ranking has a well-performance in ranking. Furthermore, we apply the new trapezoidal type-2 fuzzy AHP to a supplier selection problem. Based on the results of the application, the new fuzzy AHP has the same ranking results as the existing fuzzy AHP.
一类模糊集隶属度函数不能表达复杂问题的语言变量。将二类模糊集作为问题求解器,使构造隶属函数的模糊性得到处理。近年来,许多多准则决策方法都利用2型模糊集进行了扩展。层次分析法(AHP)是一种著名的多准则决策方法,它可以同时考虑多个相互冲突的准则。我们的目标是通过新提出的排序,即修正的总积分值,建立一个区间2型梯形模糊层次分析法。基于梯形2型模糊集的实例分析表明,该排序方法具有较好的排序效果。在此基础上,将新的梯形2型模糊层次分析法应用于供应商选择问题。应用结果表明,新的模糊层次分析法与现有的模糊层次分析法具有相同的排序结果。
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引用次数: 2
A New Method to Solve Multi-Objective Linear Fractional Problems 求解多目标线性分式问题的新方法
IF 1.2 Q2 MATHEMATICS, APPLIED Pub Date : 2021-07-03 DOI: 10.1080/16168658.2021.1938868
M. Borza, A. S. Rambely
Background: In the literature, there exists several approaches to address the multi-objective linear fractional programming problem (MOLFPP). However, there is a drawback to these methods. Aim: This paper presents an efficient method treating the MOLFPP. Methodology: To construct our approach,the membership functions of the objectives, suitable non-linear variable transformations, and max-min technique are used. Results: In our proposed method, the MOLFPP is finally changed into a linear programming problem (LPP). It is proven that the optimal solution of the LPP is an efficient solution for the MOLFPP. Conclusion: Numerical examples are solved, and the results demonstrate that our method with less computational expenses and cost reach the efficient solutions.
背景:在文献中,存在几种方法来解决多目标线性分数规划问题(MOLFPP)。然而,这些方法有一个缺点。目的:提出一种有效的治疗MOLFPP的方法。方法:为了构建我们的方法,使用了目标的隶属函数,适当的非线性变量变换和最大最小技术。结果:在我们提出的方法中,MOLFPP最终转化为线性规划问题(LPP)。证明了LPP的最优解是MOLFPP的有效解。结论:数值算例表明,该方法以较少的计算量和成本获得了有效的解。
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引用次数: 9
Picture Fuzzy Soft Robust VIKOR Method and its Applications in Decision-Making 图像模糊软鲁棒VIKOR方法及其在决策中的应用
IF 1.2 Q2 MATHEMATICS, APPLIED Pub Date : 2021-07-03 DOI: 10.1080/16168658.2021.1939632
Muhammad Jabir Khan, P. Kumam, W. Kumam, A. Al-kenani
This paper introduces the Euclidean, Hamming, and the generalized distance measures for picture fuzzy soft sets and discusses their properties. The numerical examples of decision-making and pattern recognition are focused. We also develop a robust VIKOR method for PFSSs. The relative and precise ideal picture fuzzy values (PFVs), robust factors and ranking indexes are defined. Different algorithmic procedures of robust VIKOR based on the relative and precise ideal PFVs, relative and precise robust factor, precise and picture fuzzy weights and relative and precise ranking indexes are proposed. In the end, the investment problem is solved by using the proposed method.
介绍了图像模糊软集的欧氏距离测度、汉明距离测度和广义距离测度,并讨论了它们的性质。重点介绍了决策和模式识别的数值实例。我们还开发了一种针对pfss的鲁棒VIKOR方法。定义了相对精确的理想图像模糊值(pfv)、稳健因子和排序指标。提出了基于相对和精确理想pfv、相对和精确鲁棒因子、精确和图像模糊权重以及相对和精确排序指标的鲁棒VIKOR的不同算法步骤。最后,利用该方法解决了投资问题。
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引用次数: 6
Fuzzy Analysis of Resonance Frequencies for Structural Inspection of an Engine Cylinder Block 发动机缸体结构检测中共振频率的模糊分析
IF 1.2 Q2 MATHEMATICS, APPLIED Pub Date : 2021-06-28 DOI: 10.1080/16168658.2021.1908819
M. Mohammadzaheri, Amirhosein Amouzadeh, M. Doustmohammadi, Mohammadreza Emadi, E. Jamshidi, M. Ghodsi, P. Soltani
Summary: A new inspection technique for complex mechanical structures is proposed in this paper, where a fuzzy inference system carries out structural inspection. The inputs to the fuzzy inference system are the elements of a fault signature, an array of numbers prepared with use of below 5 kHz resonance frequencies of faultless and a number of faulty specimens. Advantage: Below 5 kHz resonance frequencies are easier and less expensive to obtain compared to higher frequency ones. Limit: Due to high expenses of experiments, reliable finite element models were alternatively used to obtain resonance frequencies of the faulty specimens. Results: The developed fuzzy inference system in this research accurately located an under-surface fault in an engine cylinder block.
摘要:本文提出了一种新的复杂机械结构检测技术,利用模糊推理系统进行结构检测。模糊推理系统的输入是故障特征的元素,一组使用低于5 kHz的无故障谐振频率和一些故障样本准备的数字。优点:5千赫以下的共振频率比更高频率的频率更容易获得,也更便宜。限制:由于实验费用较高,只能采用可靠的有限元模型来替代得到故障试件的共振频率。结果:所建立的模糊推理系统对某发动机缸体地表下故障进行了准确定位。
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引用次数: 5
Picture Fuzzy N-Soft Sets and Their Applications in Decision-Making Problems 图片模糊n-软集及其在决策问题中的应用
IF 1.2 Q2 MATHEMATICS, APPLIED Pub Date : 2021-06-28 DOI: 10.1080/16168658.2021.1943187
U. Rehman, T. Mahmood
In this article, firstly, we describe picture fuzzy N-soft sets (PFN-SSs) as a generalization of picture fuzzy sets (PFSs) and N-soft sets (N-SS) by observing that one of the essential concept of neutral grade is missing in intuitionistic fuzzy N-SS (IFN-SS) theory. The concept of neutrality grade can be observed in the situation when we encounter human views including more answers of type: yes, abstain, no, refusal. For instance, in election the election commission or election council issues voting papers for the candidate. The voting outcomes are categorized into 4 groups with the number of papers namely, vote for, abstain, vote against, and refusal voting. Further, We define the fundamental properties of PFN-SS and introduce M-subset, F-subset, compliment, intersections, unions, of PFN-SS and give their examples. Secondly, we define an algorithm to cope with PFN-SS data which is more generalized then the algorithm defined for IFN-SS. To show the advantage and usefulness of the defined technique, we give two examples from real life by utilizing PFN-SS data. The result shows in the comparison that our initiated method is more general and suitable than the IFN-SS, fuzzy N-SS (FN-SS), and N-SS.
本文首先通过观察到直觉模糊N-SS (IFN-SS)理论中缺少中性等级的一个基本概念,将图像模糊n -软集(pfn - ss)描述为图像模糊集(PFSs)和n -软集(N-SS)的推广。中性等级的概念可以在我们遇到人类观点的情况下观察到,包括更多类型的答案:是,弃权,否,拒绝。例如,在选举中,选举委员会或选举委员会为候选人发出选票。投票结果按文件数分为赞成、弃权、反对、拒绝4组。进一步,我们定义了PFN-SS的基本性质,引入了PFN-SS的m子集、f子集、补集、交、并,并给出了它们的例子。其次,我们定义了一种比IFN-SS更一般化的PFN-SS数据处理算法。为了说明所定义的技术的优势和实用性,我们给出了两个使用PFN-SS数据的实际例子。结果表明,与IFN-SS、模糊N-SS (FN-SS)和N-SS相比,本文提出的方法更具有通用性和适用性。
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引用次数: 20
Output Feedback Controller for a Class of Unknown Nonlinear Discrete Time Systems Using Fuzzy Rules Emulated Networks and Reinforcement Learning 基于模糊规则仿真网络和强化学习的一类未知非线性离散时间系统输出反馈控制器
IF 1.2 Q2 MATHEMATICS, APPLIED Pub Date : 2021-06-24 DOI: 10.1080/16168658.2021.1943887
C. Treesatayapun
A model-free adaptive control for non-affine discrete time systems is developed by utilising the output feedback and action-critic networks. Fuzzy rules emulated network (FREN) is employed as the action network and multi-input version (MiFREN) is implemented as the critic network. Both networks are constructed using human knowledge based on IF–THEN rules according to the controlled plant and the learning laws are established by reinforcement learning without any off-line learning phase. The theoretical derivation of the convergence of the tracking error and internal signal is demonstrated. The numerical simulation and the experimental system are given to validate the proposed scheme.
利用输出反馈和动作批评网络,开发了非仿射离散时间系统的无模型自适应控制。采用模糊规则仿真网络(FREN)作为行动网络,采用多输入网络(MiFREN)作为批评网络。两种网络都是根据被控对象,利用人类知识基于IF-THEN规则构建网络,通过强化学习建立学习规律,不需要任何离线学习阶段。给出了跟踪误差与内部信号收敛性的理论推导。通过数值模拟和实验系统验证了该方案的有效性。
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引用次数: 1
A Study of (T, N)– and (N ′, T, N)– Implications (T, N) -和(N ', T, N) -含义的研究
IF 1.2 Q2 MATHEMATICS, APPLIED Pub Date : 2021-06-19 DOI: 10.1080/16168658.2021.1937903
Dimitrios S. Grammatikopoulos, B. Papadopoulos
In this paper, we revisit and study the basic properties of two families of fuzzy implications, the so-called and implications. More specific, we study when these fuzzy implications satisfy, or not, the neutrality property , the exchange principle , the identity principle and the ordering property . Moreover, a study is presented for the law of importation with respect to a t- norm. Also, we study the relation of conjugation in implications.
本文回顾和研究了两类模糊蕴涵的基本性质,即所谓的模糊蕴涵和模糊蕴涵。更具体地说,我们研究了这些模糊含义是否满足中立性、交换原则、恒等原则和有序性质。此外,本文还研究了关于t-范数的进口规律。此外,我们还研究了蕴涵中的共轭关系。
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引用次数: 5
Reliability Modeling Using an Adaptive Neuro-Fuzzy Inference System: Gas Turbine Application 基于自适应神经模糊推理系统的可靠性建模:燃气轮机应用
IF 1.2 Q2 MATHEMATICS, APPLIED Pub Date : 2021-04-03 DOI: 10.1080/16168658.2021.1915451
Nadji Hadroug, A. Hafaifa, Abdelhamid IRATNI, M. Guemana
Recently, the development of the industry requires monitoring and follow-up of the working conditions of the facilities, to determine the reliability, availability, and durability of these systems, for objectively estimating the service life of these installations with reduced maintenance costs. In this sense, this work proposes a novel approach to reliability modeling, to determine failure assessment indicators based on an adaptive neuro-fuzzy inference system applied on a gas turbine. This is in order to describe the behavior of this rotating machine and to estimate their operating safety parameters, to improve its performance in terms of maintainability, availability, and operational safety with effective durability. The application of fuzzy rules to reliability estimation with practical implementations is innovative, making it possible to provide solutions to problems of reliable identification of gas turbines in their complex operating environments.
近年来,行业的发展要求对设施的工作条件进行监测和跟踪,以确定这些系统的可靠性、可用性和耐用性,从而客观地估计这些设施的使用寿命,降低维护成本。从这个意义上说,本工作提出了一种新的可靠性建模方法,以确定基于自适应神经模糊推理系统的失效评估指标,该系统应用于燃气轮机。这是为了描述这种旋转机器的行为,并估计其运行安全参数,以提高其在可维护性,可用性和运行安全方面的性能与有效的耐用性。将模糊规则应用于可靠性评估具有创新意义,为解决燃气轮机复杂运行环境下的可靠性识别问题提供了可能。
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引用次数: 7
期刊
Fuzzy Information and Engineering
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