Pub Date : 2022-01-30DOI: 10.14736/kyb-2021-6-0970
Yu Miao, Mengyao Ma
In the present paper, we establish the moderate and large deviations for the linear combinations of uniform order statistics. As applications, the moderate and large deviations for the k -th order statistics from uniform distribution, Gini mean difference statistics and the k -th order statistics from general continuous distribution are obtained.
{"title":"Some limit behavior for linear combinations of order statistics","authors":"Yu Miao, Mengyao Ma","doi":"10.14736/kyb-2021-6-0970","DOIUrl":"https://doi.org/10.14736/kyb-2021-6-0970","url":null,"abstract":"In the present paper, we establish the moderate and large deviations for the linear combinations of uniform order statistics. As applications, the moderate and large deviations for the k -th order statistics from uniform distribution, Gini mean difference statistics and the k -th order statistics from general continuous distribution are obtained.","PeriodicalId":49928,"journal":{"name":"Kybernetika","volume":"108 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75884398","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-01-30DOI: 10.14736/kyb-2021-6-0908
D. Gopal, J. Martínez-Moreno
In this paper, we propose the concept of Suzuki type fuzzy Z -contractive mappings, which is a generalization of Fuzzy Z -contractive mappings initiated in the article [S. Shukla, D. Gopal, W. Sintunavarat, A new class of fuzzy contractive mappings and fixed point theorems, Fuzzy Sets and Systems 350 (2018)85-95]. For this type of contractions suitable conditions are framed to ensure the existence of fixed point in G -complete as well as M -complete fuzzy metric spaces. A comprehensive set of examples are furnished to demonstrate the validity of the obtained results.
本文提出了Suzuki型模糊Z -压缩映射的概念，它是对文献[S]中提出的模糊Z -压缩映射的推广。Shukla, D. Gopal, W. Sintunavarat，一类新的模糊压缩映射和不动点定理，模糊集与系统(2018)85-95。对于这类压缩，给出了在G -完全模糊度量空间和M -完全模糊度量空间中不动点存在的适当条件。文中还提供了一组全面的实例来证明所得结果的有效性。
{"title":"Suzuki type fuzzy Z-contractive mappings and fixed points in fuzzy metric spaces","authors":"D. Gopal, J. Martínez-Moreno","doi":"10.14736/kyb-2021-6-0908","DOIUrl":"https://doi.org/10.14736/kyb-2021-6-0908","url":null,"abstract":"In this paper, we propose the concept of Suzuki type fuzzy Z -contractive mappings, which is a generalization of Fuzzy Z -contractive mappings initiated in the article [S. Shukla, D. Gopal, W. Sintunavarat, A new class of fuzzy contractive mappings and fixed point theorems, Fuzzy Sets and Systems 350 (2018)85-95]. For this type of contractions suitable conditions are framed to ensure the existence of fixed point in G -complete as well as M -complete fuzzy metric spaces. A comprehensive set of examples are furnished to demonstrate the validity of the obtained results.","PeriodicalId":49928,"journal":{"name":"Kybernetika","volume":"47 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87364044","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-01-30DOI: 10.14736/kyb-2021-6-0939
Gergely Szlobodnyik, G. Szederkényi
In this paper a novel method is proposed for the structural identifiability analysis of nonlinear time delayed systems. It is assumed that all the nonlinearities are analytic functions and the time delays are constant. We consider the joint structural identifiability of models with respect to the ordinary system parameters and time delays by including delays into a unified parameter set. We employ the Volterra series representation of nonlinear dynamical systems and make use of the frequency domain representations of the Volterra kernels, i. e. the Generalized Frequency Response Functions (GFRFs), in order to test the unique computability of the parameters. The advantage of representing nonlinear systems with their GFRFs is that in the frequency domain representation the time delay parameters appear explicitly in the exponents of complex exponential functions from which they can be easily extracted. Since the GFRFs can be symmetrized to be unique, they provide us with an exhaustive summary of the underlying model structure. We use the GFRFs to derive equations for testing structural identifiability. Unique solution of the composed equations with respect to the parameters provides sufficient conditions for structural identifiability. Our method is illustrated on non-linear dynamical system models of different degrees of non-linearities and multiple time delayed terms. Since Volterra series representation can be applied for input-output models, it is also shown that after differential algebraic elimination of unobserved state variables, the proposed method can be suitable for identifiability analysis of a more general class of non-linear time delayed state space models.
{"title":"Structural identifiability analysis of nonlinear time delayed systems with generalized frequency response functions","authors":"Gergely Szlobodnyik, G. Szederkényi","doi":"10.14736/kyb-2021-6-0939","DOIUrl":"https://doi.org/10.14736/kyb-2021-6-0939","url":null,"abstract":"In this paper a novel method is proposed for the structural identifiability analysis of nonlinear time delayed systems. It is assumed that all the nonlinearities are analytic functions and the time delays are constant. We consider the joint structural identifiability of models with respect to the ordinary system parameters and time delays by including delays into a unified parameter set. We employ the Volterra series representation of nonlinear dynamical systems and make use of the frequency domain representations of the Volterra kernels, i. e. the Generalized Frequency Response Functions (GFRFs), in order to test the unique computability of the parameters. The advantage of representing nonlinear systems with their GFRFs is that in the frequency domain representation the time delay parameters appear explicitly in the exponents of complex exponential functions from which they can be easily extracted. Since the GFRFs can be symmetrized to be unique, they provide us with an exhaustive summary of the underlying model structure. We use the GFRFs to derive equations for testing structural identifiability. Unique solution of the composed equations with respect to the parameters provides sufficient conditions for structural identifiability. Our method is illustrated on non-linear dynamical system models of different degrees of non-linearities and multiple time delayed terms. Since Volterra series representation can be applied for input-output models, it is also shown that after differential algebraic elimination of unobserved state variables, the proposed method can be suitable for identifiability analysis of a more general class of non-linear time delayed state space models.","PeriodicalId":49928,"journal":{"name":"Kybernetika","volume":"54 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82290445","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-01-30DOI: 10.14736/kyb-2021-6-0989
Emel Asici, R. Mesiar
{"title":"On the direct product of uninorms on bounded lattices","authors":"Emel Asici, R. Mesiar","doi":"10.14736/kyb-2021-6-0989","DOIUrl":"https://doi.org/10.14736/kyb-2021-6-0989","url":null,"abstract":"","PeriodicalId":49928,"journal":{"name":"Kybernetika","volume":"8 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74897723","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-01-30DOI: 10.14736/kyb-2021-6-0958
Yong Su, R. Mesiar
{"title":"Representation and construction of homogeneous and quasi-homogeneous $n$-ary aggregation functions","authors":"Yong Su, R. Mesiar","doi":"10.14736/kyb-2021-6-0958","DOIUrl":"https://doi.org/10.14736/kyb-2021-6-0958","url":null,"abstract":"","PeriodicalId":49928,"journal":{"name":"Kybernetika","volume":"9 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91159071","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-01-03DOI: 10.14736/kyb-2021-5-0840
Xianghui Li, Yang Li, Wei Zheng
{"title":"Division schemes under uncertainty of claims","authors":"Xianghui Li, Yang Li, Wei Zheng","doi":"10.14736/kyb-2021-5-0840","DOIUrl":"https://doi.org/10.14736/kyb-2021-5-0840","url":null,"abstract":"","PeriodicalId":49928,"journal":{"name":"Kybernetika","volume":"10 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73215152","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-01-03DOI: 10.14736/kyb-2021-5-0856
D. Kolář, A. Meduna, M. Tomko
{"title":"Multi-island finite automata and their even computation","authors":"D. Kolář, A. Meduna, M. Tomko","doi":"10.14736/kyb-2021-5-0856","DOIUrl":"https://doi.org/10.14736/kyb-2021-5-0856","url":null,"abstract":"","PeriodicalId":49928,"journal":{"name":"Kybernetika","volume":"11 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89012407","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-12-28DOI: 10.14736/kyb-2021-5-0785
Hanen Benali
{"title":"Global output feedback stabilization for nonlinear fractional order time delay systems","authors":"Hanen Benali","doi":"10.14736/kyb-2021-5-0785","DOIUrl":"https://doi.org/10.14736/kyb-2021-5-0785","url":null,"abstract":"","PeriodicalId":49928,"journal":{"name":"Kybernetika","volume":"58 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84157940","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-12-28DOI: 10.14736/kyb-2021-5-0801
Jianling Zhang, Mei Yang, Xiuqing Zhou
{"title":"Empirical analysis of current status data for additive hazards model with auxiliary covariates","authors":"Jianling Zhang, Mei Yang, Xiuqing Zhou","doi":"10.14736/kyb-2021-5-0801","DOIUrl":"https://doi.org/10.14736/kyb-2021-5-0801","url":null,"abstract":"","PeriodicalId":49928,"journal":{"name":"Kybernetika","volume":"219 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75689820","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-12-28DOI: 10.14736/kyb-2021-5-0819
Chaima Hebchi, Abdelhak Chouaf
{"title":"Local linear estimation of conditional cumulative distribution function in the functional data: Uniform consistency with convergence rates","authors":"Chaima Hebchi, Abdelhak Chouaf","doi":"10.14736/kyb-2021-5-0819","DOIUrl":"https://doi.org/10.14736/kyb-2021-5-0819","url":null,"abstract":"","PeriodicalId":49928,"journal":{"name":"Kybernetika","volume":"43 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83215211","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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