Pub Date : 2023-12-08DOI: 10.61356/j.nswa.2023.115
F. Smarandache
The n-th PowerSet of a Set {or Pn(S)} better describes our real world, because a system S (which may be a company, institution, association, country, society, set of objects/plants/animals/beings, set of concepts/ideas/propositions, etc.) is formed by sub-systems, which in their turn by sub-sub-systems, and so on. We prove that the SuperHyperFunction is a generalization of classical Function, SuperFunction, and HyperFunction. And the SuperHyperAlgebra, SuperHyperGraph are part of the SuperHyperStructure. Almost all structures in our real world are Neutrosophic SuperHyperStructures since they have indeterminate/incomplete/uncertain/conflicting data.
{"title":"SuperHyperFunction, SuperHyperStructure, Neutrosophic SuperHyperFunction and Neutrosophic SuperHyperStructure: Current understanding and future directions","authors":"F. Smarandache","doi":"10.61356/j.nswa.2023.115","DOIUrl":"https://doi.org/10.61356/j.nswa.2023.115","url":null,"abstract":"The n-th PowerSet of a Set {or Pn(S)} better describes our real world, because a system S (which may be a company, institution, association, country, society, set of objects/plants/animals/beings, set of concepts/ideas/propositions, etc.) is formed by sub-systems, which in their turn by sub-sub-systems, and so on. We prove that the SuperHyperFunction is a generalization of classical Function, SuperFunction, and HyperFunction. And the SuperHyperAlgebra, SuperHyperGraph are part of the SuperHyperStructure. Almost all structures in our real world are Neutrosophic SuperHyperStructures since they have indeterminate/incomplete/uncertain/conflicting data.","PeriodicalId":169974,"journal":{"name":"Neutrosophic Systems with Applications","volume":"5 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138587548","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}
In this research, we created notions of a refined neutrosophic prime (completely prime, semiprime, and completely semiprime) ideal in a refined neutrosophic ring. If R(I1, I2) is a refined neutrosophic ring, then each ideal of R(I1, I2) has the form J+KI1+LI2 are ideals of the classical ring R. The objective of this work is to find the necessary and sufficient condition on classical ideals J, L and K that makes J+KI1+LI2 a prime (completely prime, semiprime, and completely semiprime) ideal in R(I1, I2). We studied some of the elementary properties of these concepts and the most important properties that link them.
{"title":"Some Special Refined Neutrosophic Ideals in Refined Neutrosophic Rings: A Proof-of-Concept Study","authors":"Murhaf Riad Alabdullah","doi":"10.61356/j.nswa.2024.96","DOIUrl":"https://doi.org/10.61356/j.nswa.2024.96","url":null,"abstract":"In this research, we created notions of a refined neutrosophic prime (completely prime, semiprime, and completely semiprime) ideal in a refined neutrosophic ring. If R(I1, I2) is a refined neutrosophic ring, then each ideal of R(I1, I2) has the form J+KI1+LI2 are ideals of the classical ring R. The objective of this work is to find the necessary and sufficient condition on classical ideals J, L and K that makes J+KI1+LI2 a prime (completely prime, semiprime, and completely semiprime) ideal in R(I1, I2). We studied some of the elementary properties of these concepts and the most important properties that link them. ","PeriodicalId":169974,"journal":{"name":"Neutrosophic Systems with Applications","volume":"83 11","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138586943","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 : 2023-12-04DOI: 10.61356/j.nswa.2023.111
Maissam Jdid, F. Smarandache
Transport issues aim to determine the number of units that will be transferred from the production centers to consumption areas so that the cost of transportation is as low as possible, taking into account the conditions of supply and demand. Due to the great importance of these issues and to obtain more accurate results that take into account all circumstances, we conducted two research studies. In the first research, we presented a formulation of neutrosophic transport issues, and in the second research, we presented some ways to find a preliminary solution to these issues, but we do not know whether the preliminary solution is optimal or not, so we will present in this research a study whose purpose is to shed light on some important methods used to improve the optimal solution to transportation issues and then reformulating them using the concepts of neutrosophic science, a science that leaves nothing to chance or circumstances but rather provides solutions with neutrosophic values. Unspecified values take into account the best and worst conditions.
{"title":"An Efficient Optimal Solution Method for Neutrosophic Transport Models: Analysis, Improvements, and Examples","authors":"Maissam Jdid, F. Smarandache","doi":"10.61356/j.nswa.2023.111","DOIUrl":"https://doi.org/10.61356/j.nswa.2023.111","url":null,"abstract":"Transport issues aim to determine the number of units that will be transferred from the production centers to consumption areas so that the cost of transportation is as low as possible, taking into account the conditions of supply and demand. Due to the great importance of these issues and to obtain more accurate results that take into account all circumstances, we conducted two research studies. In the first research, we presented a formulation of neutrosophic transport issues, and in the second research, we presented some ways to find a preliminary solution to these issues, but we do not know whether the preliminary solution is optimal or not, so we will present in this research a study whose purpose is to shed light on some important methods used to improve the optimal solution to transportation issues and then reformulating them using the concepts of neutrosophic science, a science that leaves nothing to chance or circumstances but rather provides solutions with neutrosophic values. Unspecified values take into account the best and worst conditions.","PeriodicalId":169974,"journal":{"name":"Neutrosophic Systems with Applications","volume":"19 7","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138603689","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 : 2023-12-01DOI: 10.61356/j.nswa.2023.109
Walaa M. Sabry
The urgent issue of climate change has resulted in an increasing preoccupation with the transition to low-carbon energy. The urban energy internet (UEI) enables the efficient utilization of renewable energy via the integration of contemporary energy grids, smart energy services, and cyber-physical systems. Consequently, the assessment of urban energy is vital for the construction of low-carbon cities. This study intends to provide an integrated decision-making approach for addressing assessment challenges related to UEI, with a focus on sustainability. The introduced approach adopts the opinions of three experts to express their opinions through semantic terms in evaluating sustainability factors and evaluating UEI projects. Determining the most suitable project for sustainable UEI is a difficult task. In addition, there are multiple sustainability dimensions, including: economic, social, technical, environmental and resource dimension. This paper presents an integrated approach through which experts can use semantic terms to express their opinions to evaluate the priorities of sustainability dimensions that affect the sustainability of UEI projects. Therefore, this study applies a hybrid multi-criteria decision making (MCDM) approach that takes into account multiple dimensions. Also, the uncertainty in the study is handled by type 2 neutrosophic numbers (T2NNs). Initially, the CRiteria Importance through Inter-criteria Correlation (CRITIC) method was used to determine the relative importance of the sustainability dimensions used in the study. Also, the evaluation based on distance from average solution (EDAS) method was used to rank the selected alternatives. The results indicate that the technical dimension is the most important with a weight of 0.384. Finally, a sensitivity analysis was conducted to prove the validity and reliability of the developed framework with differences in weights.
{"title":"An Integrated Neutrosophic Approach for the Urban Energy Internet Assessment under Sustainability Dimensions","authors":"Walaa M. Sabry","doi":"10.61356/j.nswa.2023.109","DOIUrl":"https://doi.org/10.61356/j.nswa.2023.109","url":null,"abstract":"The urgent issue of climate change has resulted in an increasing preoccupation with the transition to low-carbon energy. The urban energy internet (UEI) enables the efficient utilization of renewable energy via the integration of contemporary energy grids, smart energy services, and cyber-physical systems. Consequently, the assessment of urban energy is vital for the construction of low-carbon cities. This study intends to provide an integrated decision-making approach for addressing assessment challenges related to UEI, with a focus on sustainability. The introduced approach adopts the opinions of three experts to express their opinions through semantic terms in evaluating sustainability factors and evaluating UEI projects. Determining the most suitable project for sustainable UEI is a difficult task. In addition, there are multiple sustainability dimensions, including: economic, social, technical, environmental and resource dimension. This paper presents an integrated approach through which experts can use semantic terms to express their opinions to evaluate the priorities of sustainability dimensions that affect the sustainability of UEI projects. Therefore, this study applies a hybrid multi-criteria decision making (MCDM) approach that takes into account multiple dimensions. Also, the uncertainty in the study is handled by type 2 neutrosophic numbers (T2NNs). Initially, the CRiteria Importance through Inter-criteria Correlation (CRITIC) method was used to determine the relative importance of the sustainability dimensions used in the study. Also, the evaluation based on distance from average solution (EDAS) method was used to rank the selected alternatives. The results indicate that the technical dimension is the most important with a weight of 0.384. Finally, a sensitivity analysis was conducted to prove the validity and reliability of the developed framework with differences in weights.","PeriodicalId":169974,"journal":{"name":"Neutrosophic Systems with Applications","volume":"32 32","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138624783","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 : 2023-12-01DOI: 10.61356/j.nswa.2023.110
Samia Mandour
Since the importance of images in our lives and the advancements in computer data gathering methods, anyone can collect a large number of images, but most of them cannot be processed manually. Image processing therefore becomes appealing since various types of data may be represented and processed digitally. Image processing has become the most popular processing method, employed in security camera films, healthcare images, images from remote sensors, and naturalistic image/videos because of fast computers and processors. In order to raise cognitive function and speed up decision-making, image processing is crucial to many information access systems. Since ambiguity now permeates every part of the world, including images, discussing the neutrosophic logic forms the central idea of this discussion, as it is able to handle this ambiguity. To apply the neutrosophic logic, this requires converting the image into neutrosophic reasoning. When using neutrosophic reasoning for image retrieval, average recall and precision measures improve over other approaches. As the image processing field covers several tracks such as image segmentation, noise reduction, image classification, and others. Because there are so many research articles published in this field every year, we thought it would be appropriate to introduce a survey study on this subject. As a result, this study offers a comprehensive assessment of the literature on applying neutrosophic logic to image processing problems that have surfaced during the previous five years (2019–2023).
{"title":"An Exhaustive Review of Neutrosophic Logic in Addressing Image Processing Issues","authors":"Samia Mandour","doi":"10.61356/j.nswa.2023.110","DOIUrl":"https://doi.org/10.61356/j.nswa.2023.110","url":null,"abstract":"Since the importance of images in our lives and the advancements in computer data gathering methods, anyone can collect a large number of images, but most of them cannot be processed manually. Image processing therefore becomes appealing since various types of data may be represented and processed digitally. Image processing has become the most popular processing method, employed in security camera films, healthcare images, images from remote sensors, and naturalistic image/videos because of fast computers and processors. In order to raise cognitive function and speed up decision-making, image processing is crucial to many information access systems. Since ambiguity now permeates every part of the world, including images, discussing the neutrosophic logic forms the central idea of this discussion, as it is able to handle this ambiguity. To apply the neutrosophic logic, this requires converting the image into neutrosophic reasoning. When using neutrosophic reasoning for image retrieval, average recall and precision measures improve over other approaches. As the image processing field covers several tracks such as image segmentation, noise reduction, image classification, and others. Because there are so many research articles published in this field every year, we thought it would be appropriate to introduce a survey study on this subject. As a result, this study offers a comprehensive assessment of the literature on applying neutrosophic logic to image processing problems that have surfaced during the previous five years (2019–2023).","PeriodicalId":169974,"journal":{"name":"Neutrosophic Systems with Applications","volume":"8 21","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138625400","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}
Recently, supply chains (SCs) are applying information technology to enable data sharing among suppliers, instant access to information, and complete tracking of products. With more cybersecurity risks present, such as theft of information, service interruptions, and financial resources risks, the vulnerability of systems is increased. The management of supply chain cybersecurity, which encompasses information systems, software, and infrastructure, is the emphasis of the supply chain's safety measure. There are several serious danger that attack supply chain systems. Most SC Cybersecurity procedures are used to reduce the threats posed by vulnerabilities to those processes. Researchers have mostly concentrated on supply chain-related cyber physical system (CPS) issues. This study makes attempts to classify and evaluate the cybersecurity insecurities of supply chains. In addition, this work provides an update of the analytic hierarchy process (AHP) method called α-discounting multi-criteria decision-making (α-D MCDM), which enables a more uniform assessment of supply chain cyber insecurities. This paper suggests using the α-D MCDM in various ways to address various supply chain evaluation problems.
{"title":"Evaluation of Cyber Insecurities of the Cyber Physical System Supply Chains Using α-Discounting MCDM","authors":"Rehab Mohamed, Mahmoud M. Ismail","doi":"10.61356/j.nswa.2023.98","DOIUrl":"https://doi.org/10.61356/j.nswa.2023.98","url":null,"abstract":"Recently, supply chains (SCs) are applying information technology to enable data sharing among suppliers, instant access to information, and complete tracking of products. With more cybersecurity risks present, such as theft of information, service interruptions, and financial resources risks, the vulnerability of systems is increased. The management of supply chain cybersecurity, which encompasses information systems, software, and infrastructure, is the emphasis of the supply chain's safety measure. There are several serious danger that attack supply chain systems. Most SC Cybersecurity procedures are used to reduce the threats posed by vulnerabilities to those processes. Researchers have mostly concentrated on supply chain-related cyber physical system (CPS) issues. This study makes attempts to classify and evaluate the cybersecurity insecurities of supply chains. In addition, this work provides an update of the analytic hierarchy process (AHP) method called α-discounting multi-criteria decision-making (α-D MCDM), which enables a more uniform assessment of supply chain cyber insecurities. This paper suggests using the α-D MCDM in various ways to address various supply chain evaluation problems.","PeriodicalId":169974,"journal":{"name":"Neutrosophic Systems with Applications","volume":"104 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139242994","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}
The Metaverse has the ability to restructure and change the manner in which individuals connect with one another as well as the activities that they carry out on a daily basis. One definition of a Metaverse describes it as "a virtual, digital, and three-dimensional universe formed by the integration of various cutting-edge technologies and virtual places." In this piece, we will explore the potential applications of the Metaverse in the medical field. Our conversations on the notion of the Metaverse and the primary technologies that make it possible are both thought-provoking and in-depth. In this article, we study and analyze the possible uses of the Metaverse in the healthcare industry, including telemedicine and telehealth, medical education and training, medical marketing, healthcare supply chain, healthcare facilities, as well as fitness and wellness. The primary obstacles that prevent the broad implementation of the Metaverse in healthcare are discussed in this paper. Finally, evaluating implications of leveraging Metaverse in healthcare is discussed. Best Worst Method (BWM) is deployed with Triangular Neutrosophic Sets (TriNSs) to estimate criteria’s weights where five criteria have been determined for alternatives of Metaverse. These alternatives are evaluated and ranked through weighted sum model (WSM) with help of TriNSs. The findings of this process demonstrated that Metaverse alternative 1 (MeT1) Health Surveillance is optimal according to global score. Antithesis Metaverse alternative 3 (MeT3) Virtual surgical is least one.
{"title":"Intelligent Healthcare: Evaluation Potential Implications of Metaverse in Healthcare Based on Mathematical Decision-Making Framework","authors":"Ibrahim Elhenawy, Sara Fawaz, Mona Mohamed","doi":"10.61356/j.nswa.2023.99","DOIUrl":"https://doi.org/10.61356/j.nswa.2023.99","url":null,"abstract":"The Metaverse has the ability to restructure and change the manner in which individuals connect with one another as well as the activities that they carry out on a daily basis. One definition of a Metaverse describes it as \"a virtual, digital, and three-dimensional universe formed by the integration of various cutting-edge technologies and virtual places.\" In this piece, we will explore the potential applications of the Metaverse in the medical field. Our conversations on the notion of the Metaverse and the primary technologies that make it possible are both thought-provoking and in-depth. In this article, we study and analyze the possible uses of the Metaverse in the healthcare industry, including telemedicine and telehealth, medical education and training, medical marketing, healthcare supply chain, healthcare facilities, as well as fitness and wellness. The primary obstacles that prevent the broad implementation of the Metaverse in healthcare are discussed in this paper. Finally, evaluating implications of leveraging Metaverse in healthcare is discussed. Best Worst Method (BWM) is deployed with Triangular Neutrosophic Sets (TriNSs) to estimate criteria’s weights where five criteria have been determined for alternatives of Metaverse. These alternatives are evaluated and ranked through weighted sum model (WSM) with help of TriNSs. The findings of this process demonstrated that Metaverse alternative 1 (MeT1) Health Surveillance is optimal according to global score. Antithesis Metaverse alternative 3 (MeT3) Virtual surgical is least one.","PeriodicalId":169974,"journal":{"name":"Neutrosophic Systems with Applications","volume":"153 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139243723","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}
We introduce for the first time the SuperHyperSoft Set and the Fuzzy and Fuzzy Extension SuperHyperSoft Set. Through a theorem we prove that the SuperHyperSoft Set is composed from many HyperSoft Sets.
首次介绍了超软集、模糊可拓和模糊可拓超软集。通过一个定理证明了超软集是由多个超软集组成的。
{"title":"Foundation of the SuperHyperSoft Set and the Fuzzy Extension SuperHyperSoft Set: A New Vision","authors":"Florentin Smarandache","doi":"10.61356/j.nswa.2023.95","DOIUrl":"https://doi.org/10.61356/j.nswa.2023.95","url":null,"abstract":"We introduce for the first time the SuperHyperSoft Set and the Fuzzy and Fuzzy Extension SuperHyperSoft Set. Through a theorem we prove that the SuperHyperSoft Set is composed from many HyperSoft Sets.","PeriodicalId":169974,"journal":{"name":"Neutrosophic Systems with Applications","volume":"19 9","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135432665","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}
The crisp, fuzzy, intuitionistic fuzzy, and neutrosophic sets are the extension of the plithogenic set, in which elements are characterized by the number of attributes and each attribute can assume many values. To achieve more accuracy and precise exclusion, a contradiction or dissimilarity degree is specified between each attribute and the values of the dominating attribute. A plithogenic cubic vague set is a combination of a plithogenic cubic set and a vague set. The key tool for resolving problems with pattern recognition and clustering analysis is the similarity measure. In this research, we characterize and investigate the similarities between two Plithogenic Cubic Vague sets (PCVSs) for (z≡F), (z≡IF) and (z≡N). Also, examples are given to examine similarities in the pattern recognition application problems.
{"title":"Similarity Measure of Plithogenic Cubic Vague Sets: Examples and Possibilities","authors":"None S. Anitha, None A. Francina Shalini","doi":"10.61356/j.nswa.2023.81","DOIUrl":"https://doi.org/10.61356/j.nswa.2023.81","url":null,"abstract":"The crisp, fuzzy, intuitionistic fuzzy, and neutrosophic sets are the extension of the plithogenic set, in which elements are characterized by the number of attributes and each attribute can assume many values. To achieve more accuracy and precise exclusion, a contradiction or dissimilarity degree is specified between each attribute and the values of the dominating attribute. A plithogenic cubic vague set is a combination of a plithogenic cubic set and a vague set. The key tool for resolving problems with pattern recognition and clustering analysis is the similarity measure. In this research, we characterize and investigate the similarities between two Plithogenic Cubic Vague sets (PCVSs) for (z≡F), (z≡IF) and (z≡N). Also, examples are given to examine similarities in the pattern recognition application problems.","PeriodicalId":169974,"journal":{"name":"Neutrosophic Systems with Applications","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135510770","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}
None A. Ibrahim, None S. Karunya Helen Gunaseeli, Said Broumi
The purpose of this article is to study the neutrosophication of prime and Boolean filters in Basic Logic (BL) algebras. We establish the notions of the neutrosophic prime and Boolean filters of BL-algebras with suitable examples and examine a few of their properties. As a result, we can determine the necessary and sufficient conditions and extension properties of both the neutrosophic prime and Boolean filters of BL-algebras. In addition, by combining both filters we instigate the concept of the neutrosophic prime Boolean filter of BL-algebras with illustration. In the future, the above study can be extended to soft multiset. Moreover, these filters can be applied to various digital image processing techniques.
{"title":"Some Types of Neutrosophic Filters in Basic Logic Algebras","authors":"None A. Ibrahim, None S. Karunya Helen Gunaseeli, Said Broumi","doi":"10.61356/j.nswa.2023.72","DOIUrl":"https://doi.org/10.61356/j.nswa.2023.72","url":null,"abstract":"The purpose of this article is to study the neutrosophication of prime and Boolean filters in Basic Logic (BL) algebras. We establish the notions of the neutrosophic prime and Boolean filters of BL-algebras with suitable examples and examine a few of their properties. As a result, we can determine the necessary and sufficient conditions and extension properties of both the neutrosophic prime and Boolean filters of BL-algebras. In addition, by combining both filters we instigate the concept of the neutrosophic prime Boolean filter of BL-algebras with illustration. In the future, the above study can be extended to soft multiset. Moreover, these filters can be applied to various digital image processing techniques.","PeriodicalId":169974,"journal":{"name":"Neutrosophic Systems with Applications","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135570043","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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