Fuzzy Sets and Systems最新文献_第6页

Direct and ordinal products realized by triangular norm operators with no zero divisors 无零除数三角规范算子实现的直接积和序积

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2024-07-29 DOI: 10.1016/j.fss.2024.109096

Joseph McDonald

引用次数: 0

Uncertain random variables and laws of large numbers under U-C chance space U-C 机会空间下的不确定随机变量和大数定律

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2024-07-26 DOI: 10.1016/j.fss.2024.109086

Feng Hu, Xiaoting Fu, Ziyi Qu

{"title":"Uncertain random variables and laws of large numbers under U-C chance space","authors":"Feng Hu, Xiaoting Fu, Ziyi Qu","doi":"10.1016/j.fss.2024.109086","DOIUrl":"10.1016/j.fss.2024.109086","url":null,"abstract":"<div><p>Uncertainty theory was founded by Baoding Liu for modeling belief degrees about human uncertainty. And chance theory was pioneered by Yuhan Liu based on probability theory and uncertainty theory. In many cases, imprecise risk situation in subjective or objective setting and human uncertainty simultaneously appear in a complex system. To measure uncertain random events in this system, this paper combines uncertainty space with convex non-additive probability space into a new kind of two-dimensional chance space called U-C chance space. Moreover, a new framework for uncertain random variables combining uncertainty theory with convex non-additive probability theory is provided. For applications of this new framework, it can be applied to characterize some kinds of phenomena which possess the characteristics of both imprecise risk situations and belief degrees about human uncertainty in situations of great events, such as financial crisis, major natural disaster, etc. The main contribution of this paper is to derive the types of Kolmogorov and Marcinkiewicz-Zygmund LLNs for uncertain random variables satisfying some conditions under U-C chance space, where the convex non-additive probability is totally monotone. Furthermore, several examples are stated and explained.</p></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":null,"pages":null},"PeriodicalIF":3.2,"publicationDate":"2024-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141847653","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Dynamic sum-based event-triggered H∞ filtering for networked T-S fuzzy wind turbine systems with deception attacks 针对存在欺骗攻击的网络 T-S 模糊风力涡轮机系统的基于事件触发的动态总和 H∞ 滤波技术

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2024-07-26 DOI: 10.1016/j.fss.2024.109084

Shen Yan , Xinyi Yang , Zhou Gu , Xiangpeng Xie , Fan Yang

{"title":"Dynamic sum-based event-triggered H∞ filtering for networked T-S fuzzy wind turbine systems with deception attacks","authors":"Shen Yan , Xinyi Yang , Zhou Gu , Xiangpeng Xie , Fan Yang","doi":"10.1016/j.fss.2024.109084","DOIUrl":"10.1016/j.fss.2024.109084","url":null,"abstract":"<div><p>This article is concerned with the dynamic sum-based event-triggered <span><math><msub><mrow><mi>H</mi></mrow><mrow><mo>∞</mo></mrow></msub></math></span> filtering issue for networked wind turbine systems subject to deception attacks and communication delays. By considering the time-varying wind power case rather than the existing maximum power case, a more general T-S fuzzy system with two premise variables is modeled for nonlinear wind turbine system. In order to save the communication cost, a novel dynamic sum-based event-triggered scheme is proposed, which has the following three merits. First, some past sampled measurements are utilized to reduce redundant transmissions. Second, an auxiliary dynamic variable based on the past sampled measurements is introduced in the triggering condition to further enlarge the triggering intervals. Third, a dynamic triggering threshold is designed, which can be regulated adaptively along with the system evolution. With the help of Lyapunov method and linear matrix inequality technique, some sufficient co-design conditions of <span><math><msub><mrow><mi>H</mi></mrow><mrow><mo>∞</mo></mrow></msub></math></span> filter and triggering matrices are derived for the T-S fuzzy filtering error system with deception attacks and communication delays. Lastly, some simulations are carried out to illustrate the advantages of the proposed strategy.</p></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":null,"pages":null},"PeriodicalIF":3.2,"publicationDate":"2024-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141850666","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Decomposition and construction of uninorms on the unit interval 单位区间上非矩形的分解与构造

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2024-07-18 DOI: 10.1016/j.fss.2024.109083

Yao Ouyang , Hua-Peng Zhang , Bernard De Baets

引用次数: 0

Fixed-time control and estimation of discontinuous fuzzy leakage-delayed networks: Indefinite and economical conditions of Filippov systems 非连续模糊泄漏延迟网络的定时控制和估计：菲利波夫系统的无限和经济条件

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2024-07-17 DOI: 10.1016/j.fss.2024.109080

Lin Sun , Fanchao Kong , Cheng Hu

{"title":"Fixed-time control and estimation of discontinuous fuzzy leakage-delayed networks: Indefinite and economical conditions of Filippov systems","authors":"Lin Sun , Fanchao Kong , Cheng Hu","doi":"10.1016/j.fss.2024.109080","DOIUrl":"10.1016/j.fss.2024.109080","url":null,"abstract":"<div><p>This paper considers the fixed-time stability of Filippov systems and discontinuous networks described by the Filippov systems. Firstly, the more generalized and economical inequality condition on Lyapunov function is proposed, which can not only improve the previous negative definite conditions, but also the indefinite conditions. Based on the definition of the Lyapunov stability and finite-time convergence, new fixed-time stability lemmas are proposed and the settling-time is also estimated. In order to apply the new fixed-time stability lemmas to the neural networks, fixed-time stabilization of a class of fuzzy leakage-delayed neural networks with discontinuous activations is considered which is rarely studied since the delay is leakage and activations are discontinuous and they are not easy to deal with simultaneously. By means of the Filippov regularization and differential inclusions theory, new criteria on the stabilization of the considered networks are derived via the new modified non-chattering controller, which can improve the previous ones with parameter and symbolic function. Finally, example and numerical simulations further examine the correctness of the main results.</p></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":null,"pages":null},"PeriodicalIF":3.2,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141774075","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Fuzzy discrete fractional calculus and fuzzy fractional discrete equations 模糊离散分式微积分和模糊分式离散方程

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2024-07-11 DOI: 10.1016/j.fss.2024.109073

Ngo Van Hoa , Nguyen Dinh Phu

引用次数: 0

Practical possibilistic fuzzy pay-off method for real option valuation 用于实物期权估值的实用可能性模糊报酬法

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2024-07-08 DOI: 10.1016/j.fss.2024.109072

Jan Stoklasa , Mikael Collan , Pasi Luukka

{"title":"Practical possibilistic fuzzy pay-off method for real option valuation","authors":"Jan Stoklasa , Mikael Collan , Pasi Luukka","doi":"10.1016/j.fss.2024.109072","DOIUrl":"https://doi.org/10.1016/j.fss.2024.109072","url":null,"abstract":"<div><p>This paper describes a set of proposed additions to the recently introduced possibilistic fuzzy pay-off method for real option valuation that enhances the practical usability of the method. The additions are focused on the practical usability of the method and concentrate on emphasizing the consideration of the downside-risk found in projects. Technically the additions are based on using a novel interpretation of the possibilistic mean as a proxy respectively for the weight of the downside and the upside of a possibility distribution in the context of project profitability. This interpretation of the possibilistic mean is a new theoretical contribution.</p><p>The proposed new method-variant, called the “practical possibilistic fuzzy pay-off method for real option valuation”, can effectively distinguish between projects with an identical upside and non-identical downsides and allows for a more finance-theoretically comprehensive consideration of situations, where the circumstances surrounding the downside risk of a project change. Changes in the downside are reflected in the real option value. The proposed changes constitute the first variant of the possibilistic fuzzy pay-off method for real option valuation and they remarkably increase the practical usability of the method.</p></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":null,"pages":null},"PeriodicalIF":3.2,"publicationDate":"2024-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0165011424002185/pdfft?md5=d52d13f8c84eb71c7f2d35782213c5b2&pid=1-s2.0-S0165011424002185-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141605290","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Scott quasi-metric and Scott quasi-uniformity based on pointwise quasi-metrics 基于点式准计量的斯科特准计量和斯科特准均匀性

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2024-07-06 DOI: 10.1016/j.fss.2024.109070

Chong Shen , Fu-Gui Shi , Xinchao Zhao

{"title":"Scott quasi-metric and Scott quasi-uniformity based on pointwise quasi-metrics","authors":"Chong Shen , Fu-Gui Shi , Xinchao Zhao","doi":"10.1016/j.fss.2024.109070","DOIUrl":"https://doi.org/10.1016/j.fss.2024.109070","url":null,"abstract":"<div><p>In this paper, we develop some connections between pointwise quasi-metric spaces and Scott spaces in domain theory. The main results include (i) the category of Scott quasi-metrics with S-morphisms is equivalent to that of pointwise quasi-metrics in the sense of Shi; (ii) a topological space <span><math><mo>(</mo><mi>X</mi><mo>,</mo><mi>T</mi><mo>)</mo></math></span> is quasi-metrizable if and only if the topologically generated space <span><math><mo>(</mo><msup><mrow><mi>I</mi></mrow><mrow><mi>X</mi></mrow></msup><mo>,</mo><msub><mrow><mi>ω</mi></mrow><mrow><mi>I</mi></mrow></msub><mo>(</mo><mi>T</mi><mo>)</mo><mo>)</mo></math></span> (where <span><math><msub><mrow><mi>ω</mi></mrow><mrow><mi>I</mi></mrow></msub><mo>(</mo><mi>T</mi><mo>)</mo></math></span> denotes the family of all lower semi-continuous mappings from <em>X</em> to the unit interval <em>I</em>) can be induced by a pointwise quasi-metric with a property M; (iii) the notion of Scott quasi-uniformity is presented, and it is shown that <em>d</em>-spaces of domain theory are exactly the Scott quasi-uniformizable spaces; (iv) the relationship between Scott quasi-metrics (introduced by the first and second authors) and Scott quasi-uniformities is established. In specific, the Scott quasi-metrics are exactly the Scott quasi-uniformities that has a countable base.</p></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":null,"pages":null},"PeriodicalIF":3.2,"publicationDate":"2024-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141596300","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Fuzzy prescribed-time self-triggered consensus control for nonlinear multi-agent systems with dead-zone output 有死区输出的非线性多代理系统的模糊规定时间自触发共识控制

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2024-07-03 DOI: 10.1016/j.fss.2024.109071

Yancheng Yan , Tieshan Li , Jianhui Wang , C.L. Philip Chen , Hongjing Liang

引用次数: 0

Hierarchical admissibility criteria for T-S fuzzy singular systems with time-varying delay 具有时变延迟的 T-S 模糊奇异系统的分层可接受性标准

IF 3.2 1区数学

Fuzzy Sets and Systems Pub Date : 2024-07-02 DOI: 10.1016/j.fss.2024.109065

Yun Chen , Gang Chen

引用次数: 0