Pub Date : 2023-11-09DOI: 10.1142/s1793005723500308
Merin Jose, Sunil C. Mathew
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.
本文研究了[公式:见文]- g -过滤器、[公式:见文]-模糊格栅和[公式:见文]-闭包算子之间的范畴关系。本文还研究了[公式:见文]- g滤波器和[公式:见文]-模糊同拓扑之间的范畴联系，并确定了分层[公式:见文]- g滤波器空间和[公式:见文]-模糊同拓扑空间之间的伽罗瓦对应关系。
{"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}
Pub Date : 2023-11-09DOI: 10.1142/s179300572450042x
N. Annapurna, V. Sireesha
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.
{"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}
Pub Date : 2023-11-09DOI: 10.1142/s1793005724500352
Bobin George, Jinta Jose, Rajesh K. Thumbakara
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.
{"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}
Pub Date : 2023-11-09DOI: 10.1142/s1793005724500418
Margaret I. Doig, D. S. Malik
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.
{"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}
Pub Date : 2023-11-09DOI: 10.1142/s1793005724500340
Song-Ping Zhu, Lin Ai
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.
{"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}
Pub Date : 2023-11-09DOI: 10.1142/s1793005724500364
S. Meenakshi, G. Muhiuddin, Y. B. Jun, B. Elavarasan
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.
{"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}
Pub Date : 2023-10-20DOI: 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}
Pub Date : 2023-10-06DOI: 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}
Pub Date : 2023-09-27DOI: 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}
Pub Date : 2023-07-13DOI: 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}
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