Fuzzy Sets and Systems最新文献

{"title":"Reachable set estimation for switched T-S fuzzy systems with a switching dynamic memory event-triggered mechanism","authors":"Donghui Wu,&nbsp;Ying Zhao,&nbsp;Hong Sang,&nbsp;Shuanghe Yu","doi":"10.1016/j.fss.2024.109050","DOIUrl":"https://doi.org/10.1016/j.fss.2024.109050","url":null,"abstract":"<div><p>The paper investigates the dynamic memory event-triggered reachable set (DMETRS) estimation problem for a class of switched Takagi-Sugeno fuzzy systems (ST-SFSs). A switching fuzzy dynamic memory event-triggered (SFDMET) mechanism is developed with a memory element inserted, which provides a lower communication frequency. Under the SFDMET rule, the controllers and switching command are constructed to force the reachable set estimation of the ST-SFSs. The reachable set estimation region is relevant to the SFDMET rule. In the end, the effectiveness of the proposed DMETRS estimation approach is validated through a room air regulating system.</p></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":null,"pages":null},"PeriodicalIF":3.9,"publicationDate":"2024-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141429846","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}

{"title":"Improved results for T-S fuzzy systems with two additive time-varying delays via an extended binary quadratic function negative-determination lemma","authors":"Yapeng Liu ,&nbsp;Kun Zhou ,&nbsp;Shouming Zhong ,&nbsp;Kaibo Shi ,&nbsp;Xuezhi Li","doi":"10.1016/j.fss.2024.109049","DOIUrl":"10.1016/j.fss.2024.109049","url":null,"abstract":"<div><p>This paper is concerned with the stability and stabilization problems for T-S fuzzy systems with two additive time-varying delays. Firstly, a novel Lyapounov-Krasovskii functional (LKF) is constructed by delay-product-type functional method together with the state vector augmentation. In order to handle time-delay square terms introduced into the derivative of LKF, an extended binary quadratic function negative-determination lemma is proposed. A less conservative delay-dependent stability condition is developed since not only some new bounding technologies are employed to deal with integral terms, but also the proposed lemma is employed to dispose nonlinear time-delay terms in derivative of constructed function. Then, the corresponding controller design method for closed-loop delayed fuzzy system is derived based on parallel distributed compensation scheme. Finally, four numerical examples are given to illustrate the superiority and effectiveness of the proposed criteria.</p></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":null,"pages":null},"PeriodicalIF":3.9,"publicationDate":"2024-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141411077","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}

{"title":"PN-OWL: A two-stage algorithm to learn fuzzy concept inclusions from OWL 2 ontologies","authors":"Franco Alberto Cardillo ,&nbsp;Franca Debole ,&nbsp;Umberto Straccia","doi":"10.1016/j.fss.2024.109048","DOIUrl":"https://doi.org/10.1016/j.fss.2024.109048","url":null,"abstract":"<div><p>Given a target class <em>T</em> of an OWL 2 ontology, positive (and possibly negative) examples of <em>T</em>, we address the problem of learning, <em>viz.</em> inducing, from the examples, fuzzy class inclusion rules that aim to describe conditions for being an individual classified as an instance of the class <em>T</em>.</p><p>To do so, we present <span>PN-OWL</span> which is a two-stage learning algorithm consisting of a P-stage and an N-stage. In the P-stage, the algorithm learns fuzzy class inclusion rules (the P-rules). These rules aim to cover as many positive examples as possible, increasing <em>recall</em>, without compromising too much <em>precision</em>. In the N-stage, the algorithm learns fuzzy class inclusion rules (the N-rules), that try to rule out as many <em>false positives</em>, covered by the rules learnt at the P-stage, as possible. Roughly, the P-rules tell why an individual should be classified as an instance of <em>T</em>, while the N-rules tell why it should not.</p><p><span>PN-OWL</span> then aggregates the P-rules and the N-rules by combining them via an aggregation function to allow for a final decision on whether an individual is an instance of <em>T</em> or not.</p><p>We also illustrate the effectiveness of <span>PN-OWL</span> through extensive experimentation.</p></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":null,"pages":null},"PeriodicalIF":3.9,"publicationDate":"2024-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141323441","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}

{"title":"Polynomial verification for safe codiagnosability of decentralized fuzzy discrete-event systems","authors":"Fuchun Liu ,&nbsp;Weihua Cao ,&nbsp;Zbigniew Dziong","doi":"10.1016/j.fss.2024.109041","DOIUrl":"10.1016/j.fss.2024.109041","url":null,"abstract":"<div><p>Since fuzzy discrete-event systems (FDESs) modeled by fuzzy automata were put forward, extensive research on FDESs has been successfully conducted from different perspectives. Recently, the safe codiagnosability of decentralized FDESs was introduced and an approach of constructing the safe codiagnoser to verify the safe codiagnosability was proposed. However, the complexity of constructing the safe codiagnoser of decentralized FDESs is exponential. In this paper, we present a polynomial verification. Firstly, the recognizer and the safe coverifier are constructed to recognize the prohibited strings in the illegal language and carry out safe diagnosis of decentralized FDESs, respectively. Then the necessary and sufficient condition for safe codiagnosability of decentralized FDESs is presented. In particular, an algorithm for verifying the safe codiagnosability of decentralized FDESs is proposed based on the safe coverifier. Notably, both complexities of constructing the safe coverifier and verifying the safe codiagnosability are polynomial in the numbers of fuzzy events and fuzzy states of FDESs. Finally, two examples are provided to illustrate the proposed algorithm and the derived results.</p></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":null,"pages":null},"PeriodicalIF":3.9,"publicationDate":"2024-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141416396","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}

{"title":"A new orthogonal sum in Random Permutation Set","authors":"Yidan Wang ,&nbsp;Zhen Li ,&nbsp;Yong Deng","doi":"10.1016/j.fss.2024.109034","DOIUrl":"10.1016/j.fss.2024.109034","url":null,"abstract":"<div><p>Random Permutation Set is a newly proposed method for handling uncertainty, which considers the order of the elements in evidence. However, how to fuse RPSs efficiently is still an open issue. To solve this problem, the space composed of order code is defined. Then the mutual mappings between this space and permutation event space are also presented. Finally, the new orthogonal sum is proposed. Compared with the existing left orthogonal sum, the new orthogonal sum can obtain more accurate results with lower entropy and deal with extreme situations. Numerical examples are used to illustrate the superiority of the new orthogonal sum.</p></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":null,"pages":null},"PeriodicalIF":3.9,"publicationDate":"2024-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141397491","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}

{"title":"Distance functions from fuzzy logic connectives: A state-of-the-art survey","authors":"Kavit Nanavati,&nbsp;Megha Gupta,&nbsp;Balasubramaniam Jayaram","doi":"10.1016/j.fss.2024.109040","DOIUrl":"https://doi.org/10.1016/j.fss.2024.109040","url":null,"abstract":"<div><p>While fuzzy logic connectives were seen as generalisations of classical logic connectives, their utility has extended beyond their intended use and context. One interesting avenue of exploration that began almost 4 decades ago is to obtain metrics from fuzzy logic connectives. Not only was this a fertile approach for obtaining metrics with myriad properties but such studies have also thrown up some interesting insights. In this work, we present a state-of-the-art survey of the different works detailing the multitude of operators used to obtain these distance functions, the host of properties they satisfy, the novel contexts in which they have been employed, and the insightful commentary that they have provided on the underlying structures.</p><p>Recently, monometrics - distance functions compatible with the underlying order - have attracted scrutiny for their utility in the fields of rationalisation of ranking rules, penalty-based aggregation, and binary classification. In this work, adding to the survey, we examine if and when the existing distance functions yield a monometric. Further, by employing monotonic fuzzy logic connectives and fuzzy negations, we offer a construction of distance functions that always yield monometrics and helps us in providing a characterisation of symmetric monometrics on the unit interval. Our work showcases a close relationship between monometrics and fuzzy implications.</p></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":null,"pages":null},"PeriodicalIF":3.9,"publicationDate":"2024-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141323442","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}

{"title":"Solvability of systems of partial fuzzy relational equations revisited – a short note","authors":"Nhung Cao,&nbsp;Martin Štěpnička","doi":"10.1016/j.fss.2024.109035","DOIUrl":"https://doi.org/10.1016/j.fss.2024.109035","url":null,"abstract":"<div><p>Fuzzy inference systems have been widely investigated from different perspectives, including their logical correctness. It is not surprising that the logical correctness led mostly to the questions on the preservation of modus ponens. Indeed, whenever such a system processes an input equivalent to one of the rule antecedents, it is natural to expect the modus ponens to be preserved and the inferred output to be identical to the respective rule consequent. This leads to the related systems of fuzzy relational equations where the antecedent and consequent fuzzy sets are known values, the inference is represented either by the direct product related to the compositional rule of inference or by the Bandler-Kohout subproduct, and the fuzzy relation that represents the fuzzy rule base is the unknown element in the equations. The most important question is whether such systems are solvable, i.e., whether there even exists a fuzzy relation that models the given fuzzy rule base in such a way that the modus ponens is preserved.</p><p>Partiality allows dealing with partially defined truth values which allows to deal with situations, where we cannot define the truth value for a given predicate. The partial logics have been recently extended to partial fuzzy logics and the partial fuzzy set theory has been developed. Partial fuzzy sets then may have undefined membership degrees for some values from the given universe.</p><p>This background leads naturally to the problem of solvability of partial fuzzy relational equations, which are equations with partial fuzzy sets in the role of antecedents and consequents and with partial fuzzy relation as the model of the given fuzzy rule base. Such a setting led to a recent publication that uncovers the solvability and even the shape of the solutions. In this contribution, we revisit the problem and consider a specific case that allows partiality only in the input. In other words, antecedents, as well as consequents expressing the knowledge, are fully defined. Thus, the model of the fuzzy rules is one of the standard and fully defined relations. We investigate what happens if the input differs from one of the antecedents only by a few undefined values. This mimics the situation when a description of an observed object misses a few values in its feature vector. We show that under specific conditions, we still may preserve the modified modus ponens, i.e., that the inferred output is identical with the fully defined consequent of the respective rule.</p></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":null,"pages":null},"PeriodicalIF":3.9,"publicationDate":"2024-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141323443","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}

{"title":"Characterization results of generalized differentiabilities of fuzzy functions","authors":"Felipe Longo ,&nbsp;Beatriz Laiate ,&nbsp;Marta C. Gadotti ,&nbsp;João F. da C.A. Meyer","doi":"10.1016/j.fss.2024.109038","DOIUrl":"https://doi.org/10.1016/j.fss.2024.109038","url":null,"abstract":"<div><p>This paper presents new properties of the so-called generalized derivatives of fuzzy and interval-valued functions, which consist of the gH, gH⁎, and g-derivatives of these functions. Several recent properties concerning the generalized derivatives of interval-valued functions are extended to the fuzzy case, for which general characterization results are provided. Lastly, in order to illustrate the presented results, a study on the Malthusian growth and decay models considering fuzzy populations is made.</p></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":null,"pages":null},"PeriodicalIF":3.9,"publicationDate":"2024-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141314463","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}

{"title":"Inverses of fuzzy relation matrices with addition-min composition","authors":"Fang-Fang Guo ,&nbsp;Rong Fu ,&nbsp;Jie Shen","doi":"10.1016/j.fss.2024.109037","DOIUrl":"https://doi.org/10.1016/j.fss.2024.109037","url":null,"abstract":"<div><p>This paper mainly considers the post-inverse matrix of a fuzzy relation matrix in terms of addition-min composition. A necessary and sufficient condition for the consistency of the inverse matrix problem is given by transforming the problem into a series of particular fuzzy relation equations. The uniqueness of the post-inverse is also investigated. Furthermore, it is proved that the search for the minimal solutions of the particular fuzzy relation equations can be converted into solving a linear system. Based on these discussions, an algorithm is constructed for solving a post-inverse of a given fuzzy relation matrix.</p></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":null,"pages":null},"PeriodicalIF":3.9,"publicationDate":"2024-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141324674","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}

{"title":"Generating quasi-t-subnorms on preordered sets via Adjunctions and Left Galois Connections","authors":"Jun Geng ,&nbsp;Rina Wang ,&nbsp;Ziwen Chen","doi":"10.1016/j.fss.2024.109036","DOIUrl":"https://doi.org/10.1016/j.fss.2024.109036","url":null,"abstract":"<div><p>In this paper, we investigate several classes of binary operations within the preordered framework. First, we give the definition of quasi-t-subnorm on preordered sets. Subsequently, we research two classes of quasi-t-subnorms by means of Adjunctions and Left Galois Connections respectively. Meanwhile, we introduce new preorders differing from the inclusion order on powersets. Importantly, quasi-t-subnorms can be defined on powersets with preorders. Then we get a class of extensive binary operations via Adjunctions between preordered sets and the preordered sets consisting of powersets, which generalizes the previous results. The relationship between related binary operations is explored at last.</p></div>","PeriodicalId":55130,"journal":{"name":"Fuzzy Sets and Systems","volume":null,"pages":null},"PeriodicalIF":3.9,"publicationDate":"2024-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141314324","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}