Pub Date : 2023-11-10DOI: 10.1142/s1793005725500036
Bobin George, Jinta Jose, Rajesh K. Thumbakara
{"title":"Cartesian product and composition of soft semigraphs","authors":"Bobin George, Jinta Jose, Rajesh K. Thumbakara","doi":"10.1142/s1793005725500036","DOIUrl":"https://doi.org/10.1142/s1793005725500036","url":null,"abstract":"","PeriodicalId":44835,"journal":{"name":"New Mathematics and Natural Computation","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135186527","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 : 2023-11-10DOI: 10.1142/s1793005725500024
J. Vimala, S. Sabeena Begam, Muhammad Saeed, Khuram Ali Khan, Atiqe Ur Rahman
{"title":"An Abstract Context to Lattice-based Ideals (filters) with multi-fuzzy soft settings","authors":"J. Vimala, S. Sabeena Begam, Muhammad Saeed, Khuram Ali Khan, Atiqe Ur Rahman","doi":"10.1142/s1793005725500024","DOIUrl":"https://doi.org/10.1142/s1793005725500024","url":null,"abstract":"","PeriodicalId":44835,"journal":{"name":"New Mathematics and Natural Computation","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135186675","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 : 2023-11-10DOI: 10.1142/s1793005724500431
Ahmed A Ramadan
The main purpose of this paper is to study a new relationship among [Formula: see text]-fuzzy quasi-proximity spaces, [Formula: see text]-fuzzy closure spaces and [Formula: see text]-fuzzy interior spaces and their properties are considered, where [Formula: see text] is a complete residuated lattice. Moreover, the Galois connections between [Formula: see text]-fuzzy quasi-proximity spaces, [Formula: see text]-fuzzy closure spaces and [Formula: see text]-fuzzy interior spaces are investigated. We present an example through fuzzy information system which confirms the feasibility of using the proposed approaches.
{"title":"Relationship between <i>L</i>-fuzzy quasi-proximity and <i>L</i>-fuzzy closure(interior) operators","authors":"Ahmed A Ramadan","doi":"10.1142/s1793005724500431","DOIUrl":"https://doi.org/10.1142/s1793005724500431","url":null,"abstract":"The main purpose of this paper is to study a new relationship among [Formula: see text]-fuzzy quasi-proximity spaces, [Formula: see text]-fuzzy closure spaces and [Formula: see text]-fuzzy interior spaces and their properties are considered, where [Formula: see text] is a complete residuated lattice. Moreover, the Galois connections between [Formula: see text]-fuzzy quasi-proximity spaces, [Formula: see text]-fuzzy closure spaces and [Formula: see text]-fuzzy interior spaces are investigated. We present an example through fuzzy information system which confirms the feasibility of using the proposed approaches.","PeriodicalId":44835,"journal":{"name":"New Mathematics and Natural Computation","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135088520","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 : 2023-11-10DOI: 10.1142/s1793005725500012
Surdive Atamewoue
{"title":"Hyper BCK-algebras arising from n-ary block codes and some algorithms","authors":"Surdive Atamewoue","doi":"10.1142/s1793005725500012","DOIUrl":"https://doi.org/10.1142/s1793005725500012","url":null,"abstract":"","PeriodicalId":44835,"journal":{"name":"New Mathematics and Natural Computation","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135186670","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/s1793005724500327
Bikky Kumar, Anupam K. Singh, Anil Kumar Ram
This work focuses on establishing the relationship between bipolar fuzzy automata, reverse bipolar fuzzy automata, and double bipolar fuzzy automata. It also introduces the concepts of bipolar fuzzy subsystems, reverse bipolar fuzzy subsystems, and double bipolar fuzzy subsystems, and explores various properties associated with these subsystems. Furthermore, the paper aims to introduce the categorical aspects of bipolar fuzzy automata and reverse bipolar fuzzy automata, along with their functorial relationship.
{"title":"Properties of Bipolar Fuzzy Automata","authors":"Bikky Kumar, Anupam K. Singh, Anil Kumar Ram","doi":"10.1142/s1793005724500327","DOIUrl":"https://doi.org/10.1142/s1793005724500327","url":null,"abstract":"This work focuses on establishing the relationship between bipolar fuzzy automata, reverse bipolar fuzzy automata, and double bipolar fuzzy automata. It also introduces the concepts of bipolar fuzzy subsystems, reverse bipolar fuzzy subsystems, and double bipolar fuzzy subsystems, and explores various properties associated with these subsystems. Furthermore, the paper aims to introduce the categorical aspects of bipolar fuzzy automata and reverse bipolar fuzzy automata, along with their functorial relationship.","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":"135191132","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/s1793005724500339
R. A. Borzooei, M. Sabetkish, M. Aaly Kologani
In this paper, we apply the theory of modules on hoops and introduce two concepts of modules on hoops and provide special examples and interesting results. Both concepts are correct and logical. The first concept is very close to the definition of module in abstract algebra. In this case, we investigate some important results in modules such as sub-modules and quotient structures. But if we want to investigate the relationship between hoop-modules and other modules on logical algebraic structures such as [Formula: see text]-modules and [Formula: see text]-modules, we need to define the second definition of hoop-modules. In this case, we can get that a [Formula: see text]-modules and an [Formula: see text]-module from any hoop-module.
本文运用了模组理论，引入了模组的两个概念，并给出了一些特殊的例子和有趣的结果。这两个概念都是正确和合乎逻辑的。第一个概念与抽象代数中模的定义非常接近。在这种情况下，我们研究了子模块和商结构等模块的一些重要结果。但是，如果我们想要研究箍模与逻辑代数结构(如[公式:见文]-模块和[公式:见文]-模块)上的其他模块之间的关系，我们需要定义箍模的第二个定义。在这种情况下，我们可以从任何hoop-module中得到一个[Formula: see text]-modules和一个[Formula: see text]-module。
{"title":"Module Structures on Hoops","authors":"R. A. Borzooei, M. Sabetkish, M. Aaly Kologani","doi":"10.1142/s1793005724500339","DOIUrl":"https://doi.org/10.1142/s1793005724500339","url":null,"abstract":"In this paper, we apply the theory of modules on hoops and introduce two concepts of modules on hoops and provide special examples and interesting results. Both concepts are correct and logical. The first concept is very close to the definition of module in abstract algebra. In this case, we investigate some important results in modules such as sub-modules and quotient structures. But if we want to investigate the relationship between hoop-modules and other modules on logical algebraic structures such as [Formula: see text]-modules and [Formula: see text]-modules, we need to define the second definition of hoop-modules. In this case, we can get that a [Formula: see text]-modules and an [Formula: see text]-module from any hoop-module.","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":"135191137","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/s179300572450039x
Samir Kumar Bhandari, P. Saha, S. Guria, P Das, B. S. Choudhury
In this paper, we adopt a fixed point approach towards a problem of finding fuzzy distance between two subsets of a fuzzy metric space. This is accomplished simultaneously by determining two different pairs of points which are obtained by finding an optimal approximate solution of a coupled fixed point equation for an appropriate coupled contractive operator. By its nature, the problem is a global optimization problem. The coupled contraction defined here has certain properties suitable for applications to the optimization problem considered in this paper. The main result is illustrated with an example. By applications of the main theorem, a new coupled fixed point result is derived in fuzzy metric space and a new coupled proximity point result is obtained in metric spaces. This work is a continuation of a newly emerged line of research on global optimization in the context of fuzzy metric spaces.
{"title":"Simultaneous solution of a fuzzy global optimization problem using a fixed point method","authors":"Samir Kumar Bhandari, P. Saha, S. Guria, P Das, B. S. Choudhury","doi":"10.1142/s179300572450039x","DOIUrl":"https://doi.org/10.1142/s179300572450039x","url":null,"abstract":"In this paper, we adopt a fixed point approach towards a problem of finding fuzzy distance between two subsets of a fuzzy metric space. This is accomplished simultaneously by determining two different pairs of points which are obtained by finding an optimal approximate solution of a coupled fixed point equation for an appropriate coupled contractive operator. By its nature, the problem is a global optimization problem. The coupled contraction defined here has certain properties suitable for applications to the optimization problem considered in this paper. The main result is illustrated with an example. By applications of the main theorem, a new coupled fixed point result is derived in fuzzy metric space and a new coupled proximity point result is obtained in metric spaces. This work is a continuation of a newly emerged line of research on global optimization in the context of fuzzy metric spaces.","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":"135191138","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/s1793005724500406
Margaret I. Doig, D. S. Malik
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 this first of a two-part series, we evaluate the 17 individual Sustainable Development Goals by applying the [Formula: see text]-measure to a set of indicators. We examine the distribution and characteristics of the scores for each Goal and note trends over time, highlight outlier countries, and evaluate progress in each Goal area. In the second part, we will consider worldwide progress toward the Goals as a whole.
{"title":"A fuzzy approach to sustainability I: A time-series analysis of the Sustainable Development Goals","authors":"Margaret I. Doig, D. S. Malik","doi":"10.1142/s1793005724500406","DOIUrl":"https://doi.org/10.1142/s1793005724500406","url":null,"abstract":"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 this first of a two-part series, we evaluate the 17 individual Sustainable Development Goals by applying the [Formula: see text]-measure to a set of indicators. We examine the distribution and characteristics of the scores for each Goal and note trends over time, highlight outlier countries, and evaluate progress in each Goal area. In the second part, we will consider worldwide progress toward the Goals as a whole.","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":"135191140","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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：