发布求助
文献互助 智能选刊 最新文献

Fuzzy Sets and Systems最新文献

筛选
英文 中文
Minimax programming problems subject to addition-Łukasiewicz fuzzy relational inequalities and their optimal solutions 受加-卢卡西维茨模糊关系不等式制约的最小编程问题及其最优解
IF 3.2 1区 数学
Fuzzy Sets and Systems Pub Date : 2024-07-02 DOI: 10.1016/j.fss.2024.109067
Xue-ping Wang, Meng Li, Qian-yu Shu
{"title":"Minimax programming problems subject to addition-Łukasiewicz fuzzy relational inequalities and their optimal solutions","authors":"Xue-ping Wang,&nbsp;Meng Li,&nbsp;Qian-yu Shu","doi":"10.1016/j.fss.2024.109067","DOIUrl":"https://doi.org/10.1016/j.fss.2024.109067","url":null,"abstract":"<div><p>This article focuses on minimax programming problems subject to addition-Łukasiewicz fuzzy relational inequalities. We first establish two necessary and sufficient conditions for a solution of the fuzzy relational inequalities being a minimal one and explore the existence condition of the unique minimal solution. We then supply an algorithm for obtaining some minimal solutions starting from a given one and apply minimal solutions to the minimax programming problems for searching optimal solutions. We also provide two algorithms for solving a kind of single variable optimization problems and get the greatest optimal solution. The algorithm for finding some minimal solutions of a given one is also used for searching some minimal optimal solutions.</p></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":null,"pages":null},"PeriodicalIF":3.2,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141596303","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
Improved admissibility analysis for T-S fuzzy Markovian jump singular systems with time-varying delays 具有时变延迟的 T-S 模糊马尔可夫跃迁奇异系统的改进可接受性分析
IF 3.2 1区 数学
Fuzzy Sets and Systems Pub Date : 2024-07-02 DOI: 10.1016/j.fss.2024.109069
Xingyue Liang, Shengyuan Xu
{"title":"Improved admissibility analysis for T-S fuzzy Markovian jump singular systems with time-varying delays","authors":"Xingyue Liang,&nbsp;Shengyuan Xu","doi":"10.1016/j.fss.2024.109069","DOIUrl":"https://doi.org/10.1016/j.fss.2024.109069","url":null,"abstract":"<div><p>This article researches the admissibility analysis problem for T-S fuzzy Markovian jump singular systems (MJSSs) with time-varying delays. First, based on the new state decomposition vectors, an extended Lyapunov-Krasovskii functional (LKF) is formulated, which allows that the involved matrices are not all positive definite. And, this LKF not only considers the state integral variable, but also makes full use of the time derivative information of membership function, which undoubtedly provides an advantage to the results. Then, based on free matrix integral inequality, a modified version is derived to estimate the value of integral term generated during the derivation of LKF. Based on extended LKF and modified integral inequality, the admissibility criterion with less conservative is obtained for T-S fuzzy MJSSs. Finally, two simulation examples are offered to demonstrate the effectiveness of proposed method.</p></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":null,"pages":null},"PeriodicalIF":3.2,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141596304","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
Bivariate measure-inducing quasi-copulas 二元计量诱导准公式
IF 3.2 1区 数学
Fuzzy Sets and Systems Pub Date : 2024-07-02 DOI: 10.1016/j.fss.2024.109068
Nik Stopar
{"title":"Bivariate measure-inducing quasi-copulas","authors":"Nik Stopar","doi":"10.1016/j.fss.2024.109068","DOIUrl":"https://doi.org/10.1016/j.fss.2024.109068","url":null,"abstract":"<div><p>It is well known that every bivariate copula induces a positive measure on the Borel <em>σ</em>-algebra on <span><math><msup><mrow><mo>[</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>]</mo></mrow><mrow><mn>2</mn></mrow></msup></math></span>, but there exist bivariate quasi-copulas that do not induce a signed measure on the same <em>σ</em>-algebra. In this paper we show that a signed measure induced by a bivariate quasi-copula can always be expressed as an infinite combination of measures induced by copulas. With this we are able to give the first characterization of measure-inducing quasi-copulas in the bivariate setting.</p></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":null,"pages":null},"PeriodicalIF":3.2,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0165011424002148/pdfft?md5=9ba5fe4d7f50746933e4e2bbc9a2700f&pid=1-s2.0-S0165011424002148-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141596305","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
Stratified extended multi-adjoint logic programming 分层扩展多关节逻辑编程
IF 3.2 1区 数学
Fuzzy Sets and Systems Pub Date : 2024-07-02 DOI: 10.1016/j.fss.2024.109064
M. Eugenia Cornejo, David Lobo, Jesús Medina
{"title":"Stratified extended multi-adjoint logic programming","authors":"M. Eugenia Cornejo,&nbsp;David Lobo,&nbsp;Jesús Medina","doi":"10.1016/j.fss.2024.109064","DOIUrl":"https://doi.org/10.1016/j.fss.2024.109064","url":null,"abstract":"<div><p>Extended multi-adjoint logic programming is a non-monotonic logic programming framework whose semantics is defined in terms of stable models. This paper will focus on the theoretical development of a syntactical sufficient condition for the existence and uniqueness of stable models in extended multi-adjoint logic programming, through the notion of stratification. Namely, we will detail a constructive method for the computation of the unique stable model of a given stratified extended multi-adjoint logic program. As a consequence, this study will be an interesting alternative to the semantical sufficient conditions for the existence and the uniqueness of stable models, given in the literature for multi-adjoint normal logic and extended multi-adjoint logic programs.</p></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":null,"pages":null},"PeriodicalIF":3.2,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0165011424002100/pdfft?md5=caaba0eac6f0add26a3734a97fb5e921&pid=1-s2.0-S0165011424002100-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141596299","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
A generalization of generalized Hukuhara Newton's method for interval-valued multiobjective optimization problems 针对区间值多目标优化问题的广义赫库哈拉牛顿法的一般化
IF 3.2 1区 数学
Fuzzy Sets and Systems Pub Date : 2024-07-02 DOI: 10.1016/j.fss.2024.109066
Balendu Bhooshan Upadhyay , Rupesh Krishna Pandey , Shengda Zeng
{"title":"A generalization of generalized Hukuhara Newton's method for interval-valued multiobjective optimization problems","authors":"Balendu Bhooshan Upadhyay ,&nbsp;Rupesh Krishna Pandey ,&nbsp;Shengda Zeng","doi":"10.1016/j.fss.2024.109066","DOIUrl":"https://doi.org/10.1016/j.fss.2024.109066","url":null,"abstract":"<div><p>This article deals with a class of interval-valued multiobjective optimization problems (abbreviated as, IVMOP). We employ the notions of generalized Hukuhara (abbreviated as, gH) derivative and q-gH-Hessian to introduce the descent direction of the objective function of IVMOP at a noncritical point. Using this descent direction, we propose a new variant of Newton's method for solving IVMOP, employing an Armijo-like rule coupled with a backtracking technique to find the step length. Moreover, we establish that our proposed algorithm converges to a weak effective solution of IVMOP under certain suitable assumptions on the components of the objective function of IVMOP. A non-trivial example has been furnished to demonstrate the effectiveness of the proposed algorithm. To the best of our knowledge, this is the first time that a variant of Newton's method has been introduced to solve IVMOP, that does not involve the approach of scalarization of the objective function.</p></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":null,"pages":null},"PeriodicalIF":3.2,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141596302","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
The multiplicative Cauchy equation on [0,1] and its application to the quasi-homogeneity equation [0,1]上的考奇乘法方程及其在准均质性方程中的应用
IF 3.2 1区 数学
Fuzzy Sets and Systems Pub Date : 2024-06-25 DOI: 10.1016/j.fss.2024.109052
Yong Su , Wenwen Zong , Radko Mesiar , Radomír Halaš
{"title":"The multiplicative Cauchy equation on [0,1] and its application to the quasi-homogeneity equation","authors":"Yong Su ,&nbsp;Wenwen Zong ,&nbsp;Radko Mesiar ,&nbsp;Radomír Halaš","doi":"10.1016/j.fss.2024.109052","DOIUrl":"https://doi.org/10.1016/j.fss.2024.109052","url":null,"abstract":"<div><p>The (extended) homogeneity plays important, and often crucial role in economics, decision making and image processing. When studying the quasi-homogeneity equation, the multiplicative Cauchy equation on <span><math><mo>[</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>]</mo></math></span> naturally appears. However, after a detailed analysis of its existing solutions it turned out that some solution of (extended) homogeneity equation was missing. The aim of the paper is to present a complete list of solutions of the multiplicative Cauchy equation and then to give the missing solution of quasi-homogeneity equation from the previous work. For a triangular norm <em>T</em>, we introduce a new concept of <em>T</em>-quasi-homogeneity and, for a strict t-norm <em>T</em>, we clarify the link between the quasi-homogeneity and the <em>T</em>-quasi-homogeneity.</p></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":null,"pages":null},"PeriodicalIF":3.2,"publicationDate":"2024-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141482882","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
The normality of L-coarse spaces L 粗空间的规范性
IF 3.2 1区 数学
Fuzzy Sets and Systems Pub Date : 2024-06-25 DOI: 10.1016/j.fss.2024.109053
Yi Shi , Hui Yang
{"title":"The normality of L-coarse spaces","authors":"Yi Shi ,&nbsp;Hui Yang","doi":"10.1016/j.fss.2024.109053","DOIUrl":"https://doi.org/10.1016/j.fss.2024.109053","url":null,"abstract":"<div><p>For <em>L</em> being a completely distributive lattice, we introduce a notion of <em>L</em>-coarse spaces, which can be regarded as a large-scale analogue of probabilistic uniform spaces. The main goal of this paper is to investigate the properties of <em>L</em>-coarse spaces that can induce <em>L</em>-valued coarse proximity spaces. First of all, we introduce a notion of <em>L</em>-valued coarse neighborhood systems, and show that the resulting category is isomorphic to that of <em>L</em>-valued coarse proximity spaces. Then we study the normality of coarsely connected <em>L</em>-coarse spaces and of asymptotically connected <em>L</em>-valued asymptotic resemblance spaces, and show that these two normality properties are coincident. More importantly, we show that a coarsely connected <em>L</em>-coarse space induces an <em>L</em>-valued coarse proximity if and only if it is coarsely normal. We conclude with noting that the previous result are also valid for asymptotically connected <em>L</em>-valued asymptotic resemblance spaces.</p></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":null,"pages":null},"PeriodicalIF":3.2,"publicationDate":"2024-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141482880","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
Deterministic fuzzy two-dimensional on-line tessellation automata and their languages 确定性模糊二维在线细分自动机及其语言
IF 3.2 1区 数学
Fuzzy Sets and Systems Pub Date : 2024-06-25 DOI: 10.1016/j.fss.2024.109051
Chao Yang , Xiaobing Sun , Qingyu He , Qichao Wang , Yongming Li
{"title":"Deterministic fuzzy two-dimensional on-line tessellation automata and their languages","authors":"Chao Yang ,&nbsp;Xiaobing Sun ,&nbsp;Qingyu He ,&nbsp;Qichao Wang ,&nbsp;Yongming Li","doi":"10.1016/j.fss.2024.109051","DOIUrl":"https://doi.org/10.1016/j.fss.2024.109051","url":null,"abstract":"<div><p>The main work of this paper is to extend deterministic two-dimensional on-line tessellation automata (D2OTAs) to the fuzzy setting. We call these new automata models deterministic fuzzy two-dimensional on-line tessellation automata (DF2OTAs) and focus on some of their properties. Concretely, we firstly give the definitions of DF2OTAs and the fuzzy picture languages recognized by them. Next, the closure properties of the collection of fuzzy picture languages recognized by DF2OTAs are concentrated on under some familiar operations. The decomposition theorem, the representation theorem and the Pumping lemma, which are studied in the theory of fuzzy string automata and the related languages, are also considered scrupulously in the framework of DF2OTAs and their languages. Then, we put forward the concepts of transition-accessible DF2OTAs and state-accessible DF2OTAs, and conclude that transition-accessible DF2OTAs are special state-accessible DF2OTAs and DF2OTAs are equivalent to state-accessible DF2OTAs. Finally, state reduction relations on state-accessible DF2OTAs are defined to study the problem of the state reduction of DF2OTAs. Given a state-accessible DF2OTA <span><math><mi>A</mi></math></span>, in order to construct the factor DF2OTA of <span><math><mi>A</mi></math></span> with respect to a state reduction relation on <span><math><mi>A</mi></math></span> such that this factor one is equivalent to <span><math><mi>A</mi></math></span> and possesses a fewer states, we design a polynomial-time algorithm to compute the largest state reduction relation and then construct the corresponding factor automaton.</p></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":null,"pages":null},"PeriodicalIF":3.2,"publicationDate":"2024-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141482881","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
Conditional aggregation-based Choquet integral as a Choquet integral on a hyperspace 基于条件聚合的乔奎特积分作为超空间上的乔奎特积分
IF 3.2 1区 数学
Fuzzy Sets and Systems Pub Date : 2024-06-25 DOI: 10.1016/j.fss.2024.109055
Jana Borzová , Lenka Halčinová, Jaroslav Šupina
{"title":"Conditional aggregation-based Choquet integral as a Choquet integral on a hyperspace","authors":"Jana Borzová ,&nbsp;Lenka Halčinová,&nbsp;Jaroslav Šupina","doi":"10.1016/j.fss.2024.109055","DOIUrl":"https://doi.org/10.1016/j.fss.2024.109055","url":null,"abstract":"<div><p>We aim at representing the recently introduced conditional aggregation-based Choquet integral as a standard Choquet integral on a hyperset. The representation is one of transformations considered by R.R. Yager and R. Mesiar in 2015. Thus we study the properties of the conditional aggregation-based Choquet integral using well-known facts about the standard Choquet integral. In particular, we obtain several formulas for its computation. We also provide the representation of the conditional aggregation-based Choquet integral in terms of the Möbius transform.</p></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":null,"pages":null},"PeriodicalIF":3.2,"publicationDate":"2024-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141485695","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
The effectiveness of aggregation functions used in fuzzy local contrast constructions 模糊局部对比结构中使用的聚合函数的有效性
IF 3.2 1区 数学
Fuzzy Sets and Systems Pub Date : 2024-06-25 DOI: 10.1016/j.fss.2024.109054
Barbara Pękala , Urszula Bentkowska , Michal Kepski , Marcin Mrukowicz
{"title":"The effectiveness of aggregation functions used in fuzzy local contrast constructions","authors":"Barbara Pękala ,&nbsp;Urszula Bentkowska ,&nbsp;Michal Kepski ,&nbsp;Marcin Mrukowicz","doi":"10.1016/j.fss.2024.109054","DOIUrl":"https://doi.org/10.1016/j.fss.2024.109054","url":null,"abstract":"<div><p>In this paper, we explore the concept of local contrast of a fuzzy relation, which can be perceived as a measure for distinguishing the degrees of membership of elements within a defined region of an image. We introduce four distinct methods for constructing fuzzy local contrast: one uses a similarity measure, the second relies on the aggregation of similarity, the third is based on the aggregation of restricted equivalence, and the fourth utilizes the notion of equivalence. We further divide the constructions using similarity measures into two categories based on the two known definitions of similarity: distance-based similarity and aggregation function-based similarity. These construction methods also incorporate fuzzy implications and negations. Aggregation functions, which can be manipulated to enhance the effectiveness of the constructed fuzzy local contrast, play a significant role in most of our proposed constructions. For each construction method, several examples of fuzzy local contrasts are provided. The usefulness of the new fuzzy local contrasts is examined by applying them in image processing for salient region detection.</p></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":null,"pages":null},"PeriodicalIF":3.2,"publicationDate":"2024-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141482883","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
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信