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New Mathematics and Natural Computation最新文献

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On the categorical relationships among L-G-filters, L-fuzzy grills, L-closure operators and L-fuzzy cotopologies 论l - g滤波器、l -模糊格栅、l -闭包算子和l -模糊拓扑之间的范畴关系
New Mathematics and Natural Computation Pub Date : 2023-11-09 DOI: 10.1142/s1793005723500308
Merin Jose, Sunil C. Mathew
{"title":"On the categorical relationships among <i>L</i>-G-filters, <i>L</i>-fuzzy grills, <i>L</i>-closure operators and <i>L</i>-fuzzy cotopologies","authors":"Merin Jose, Sunil C. Mathew","doi":"10.1142/s1793005723500308","DOIUrl":"https://doi.org/10.1142/s1793005723500308","url":null,"abstract":"This paper studies the categorical relations among [Formula: see text]-G-filters, [Formula: see text]-fuzzy grills and [Formula: see text]-closure operators. The categorical connections between [Formula: see text]-G-filters and [Formula: see text]-fuzzy cotopologies are also investigated and a Galois correspondence between the categories of stratified [Formula: see text]-G-filter spaces and [Formula: see text]-fuzzy cotopological spaces is identified.","PeriodicalId":44835,"journal":{"name":"New Mathematics and Natural Computation","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135191836","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An Interactive Weighted Geometric Aggregation Operator on T2IFS T2IFS上的一种交互式加权几何聚集算子
New Mathematics and Natural Computation Pub Date : 2023-11-09 DOI: 10.1142/s179300572450042x
N. Annapurna, V. Sireesha
{"title":"An Interactive Weighted Geometric Aggregation Operator on T2IFS","authors":"N. Annapurna, V. Sireesha","doi":"10.1142/s179300572450042x","DOIUrl":"https://doi.org/10.1142/s179300572450042x","url":null,"abstract":"Type 2 intuitionistic fuzzy sets (T2IFS) appear to be an attractive and potentially useful tool for coping with uncertainty and inaccurate data in today’s uncertain and ambiguous world. Consequently, it is frequently employed in decision-making (DM) issues. In the DM procedure, it is essential to aggregate the information provided by the experts. The Aggregation operators (AOs) are effective information combining tools. Therefore, this study aims on developing geometric and interactive geometric AOs on T2IFSs. To demonstrate the efficacy of the proposed operator, the optimal e-learning tool selection MCDM problem is solved. The results demonstrate that the proposed interactive AO outperforms existing arithmetic AOs and is applicable to all DM problems.","PeriodicalId":44835,"journal":{"name":"New Mathematics and Natural Computation","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135191135","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Investigating the traits of soft semigraph-associated degrees 研究软半文字相关学位的特征
New Mathematics and Natural Computation Pub Date : 2023-11-09 DOI: 10.1142/s1793005724500352
Bobin George, Jinta Jose, Rajesh K. Thumbakara
{"title":"Investigating the traits of soft semigraph-associated degrees","authors":"Bobin George, Jinta Jose, Rajesh K. Thumbakara","doi":"10.1142/s1793005724500352","DOIUrl":"https://doi.org/10.1142/s1793005724500352","url":null,"abstract":"Soft set theory, introduced by D. Molodtsov, is a mathematical approach that tackles uncertain data. Semigraph is a generalization of the concept of a graph. By incorporating soft sets into semigraphs, a new concept called soft semigraphs has emerged. The study of soft semigraphs has gained significance in graph theory due to their valuable applications in parametrization. This paper explores the properties of various vertex degrees in soft semigraphs, including degrees, end degrees, edge degrees, adjacent degrees, and consecutive adjacent degrees.","PeriodicalId":44835,"journal":{"name":"New Mathematics and Natural Computation","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135191141","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A fuzzy approach to sustainability II: The 2030 Agenda for Sustainable Development 实现可持续性的模糊途径之二:2030年可持续发展议程
New Mathematics and Natural Computation Pub Date : 2023-11-09 DOI: 10.1142/s1793005724500418
Margaret I. Doig, D. S. Malik
{"title":"A fuzzy approach to sustainability II: The 2030 Agenda for Sustainable Development","authors":"Margaret I. Doig, D. S. Malik","doi":"10.1142/s1793005724500418","DOIUrl":"https://doi.org/10.1142/s1793005724500418","url":null,"abstract":"In this paper, we use a [Formula: see text]-measure derived from fuzzy logic to evaluate progress toward the 2030 Agenda for Sustainable Development adopted by the United Nations member states. In the first of this two-part series, we examined each of the Sustainable Development Goals individually. We now build a composite index score for 163 countries using the [Formula: see text]-measure to examine their progress towards the Sustainable Development Goals as a whole, rank them, and examine the characteristics of highly performing and of poorly performing countries. We also study the impact of income category and region on progress towards the Goals.","PeriodicalId":44835,"journal":{"name":"New Mathematics and Natural Computation","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135191134","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A note on callability of convertible bonds 关于可转换债券可赎回性的说明
New Mathematics and Natural Computation Pub Date : 2023-11-09 DOI: 10.1142/s1793005724500340
Song-Ping Zhu, Lin Ai
{"title":"A note on callability of convertible bonds","authors":"Song-Ping Zhu, Lin Ai","doi":"10.1142/s1793005724500340","DOIUrl":"https://doi.org/10.1142/s1793005724500340","url":null,"abstract":"The Convertible Bonds (CBs) market has witnessed an unprecedented level of activity over the last few years not only in developed countries such as the United States but also in BRICK countries such as China. Exploring new properties of CBs or CBs with clauses becomes important for academia communities in financial mathematics. In this paper, we build two coupled partial differential equations (PDEs) for pricing a callable CB, and find a newly identified inherent property of this bond. The new property is that the conversion ratio will not affect the critical recall time indicating the time beyond the callability. Besides this property, we also find that solving the critical recall time separately and superimposing later using a non-callable CB is the same as the method of a hybrid free boundary (the critical recall time) and a moving boundary (the optimal conversion price) though the callability and the American-style conversion are nonlinearly coupled.","PeriodicalId":44835,"journal":{"name":"New Mathematics and Natural Computation","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135191139","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On subsystems of a hybrid finite state machine 混合有限状态机子系统的研究
New Mathematics and Natural Computation Pub Date : 2023-11-09 DOI: 10.1142/s1793005724500364
S. Meenakshi, G. Muhiuddin, Y. B. Jun, B. Elavarasan
{"title":"On subsystems of a hybrid finite state machine","authors":"S. Meenakshi, G. Muhiuddin, Y. B. Jun, B. Elavarasan","doi":"10.1142/s1793005724500364","DOIUrl":"https://doi.org/10.1142/s1793005724500364","url":null,"abstract":"Humanity’s efforts are manifested in the creation of novel solutions to complex problems in diverse fields. Traditional mathematical methods fail to solve real-world problems due to their complexity. Researchers have come up with new mathematical theories like fuzzy set theory and rough set theory to help them figure out how to model the uncertainty in these fields. Soft set theory is a novel approach to real-world problem solving that does not require the membership function to be specified. This aids in the resolution of a wide range of issues, and significant progress has recently been made. After Jun et al. came up with a hybrid system that combined fuzzy and soft set concepts, many people came up with hybrid ideas in different algebraic structures. In this paper, we introduce the concepts of subsystem and strong subsystem of a hybrid finite state machine (HFSM) and investigate a portion of their significant properties. We also provide an example that shows that every subsystem does not need to be a strong subsystem. Additionally, we study the cyclic subsystem of HFSMs and also obtain their equivalent results and examples. Finally, we define the notions of homomorphism of subsystems and strong subsystems of HFSMs.","PeriodicalId":44835,"journal":{"name":"New Mathematics and Natural Computation","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135191136","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Reduction in the Searching time to find a Brownian Nanoparticle in the fluid 减少在流体中寻找布朗纳米粒子的搜索时间
New Mathematics and Natural Computation Pub Date : 2023-10-20 DOI: 10.1142/s1793005725500048
Alaa Awad Alzulaibani, Mohamed Abd Allah El-Hadidy
{"title":"Reduction in the Searching time to find a Brownian Nanoparticle in the fluid","authors":"Alaa Awad Alzulaibani, Mohamed Abd Allah El-Hadidy","doi":"10.1142/s1793005725500048","DOIUrl":"https://doi.org/10.1142/s1793005725500048","url":null,"abstract":"","PeriodicalId":44835,"journal":{"name":"New Mathematics and Natural Computation","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135565463","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Ranking z-numbers based on Radii Of Gyration of fuzzy data 基于模糊数据回旋半径的 z 数字排序
IF 1
New Mathematics and Natural Computation Pub Date : 2023-10-06 DOI: 10.1142/s1793005724500467
H. Hadi Momenseraee, M. Afshar Kermani, T. Allahviranloo, N. Ahmady
{"title":"Ranking z-numbers based on Radii Of Gyration of fuzzy data","authors":"H. Hadi Momenseraee, M. Afshar Kermani, T. Allahviranloo, N. Ahmady","doi":"10.1142/s1793005724500467","DOIUrl":"https://doi.org/10.1142/s1793005724500467","url":null,"abstract":"","PeriodicalId":44835,"journal":{"name":"New Mathematics and Natural Computation","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2023-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139322418","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Erratum: A Note on Ideals of Gamma Nearness Rings 勘误：关于伽马近邻环理想的说明
IF 1
New Mathematics and Natural Computation Pub Date : 2023-09-27 DOI: 10.1142/s1793005724920017
Mehmet Ali Öztürk, Özlem Tekin
{"title":"Erratum: A Note on Ideals of Gamma Nearness Rings","authors":"Mehmet Ali Öztürk, Özlem Tekin","doi":"10.1142/s1793005724920017","DOIUrl":"https://doi.org/10.1142/s1793005724920017","url":null,"abstract":"","PeriodicalId":44835,"journal":{"name":"New Mathematics and Natural Computation","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2023-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139335347","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Bipolar-valued fuzzy filters of sheffer stroke bl-algebras sheffer冲程b -代数的双极值模糊滤波器
IF 1
New Mathematics and Natural Computation Pub Date : 2023-07-13 DOI: 10.1142/s1793005724500273
Y. Jun, T. Oner, D. Turan, B. Ordin
{"title":"Bipolar-valued fuzzy filters of sheffer stroke bl-algebras","authors":"Y. Jun, T. Oner, D. Turan, B. Ordin","doi":"10.1142/s1793005724500273","DOIUrl":"https://doi.org/10.1142/s1793005724500273","url":null,"abstract":"","PeriodicalId":44835,"journal":{"name":"New Mathematics and Natural Computation","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2023-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42480999","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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