{"title":"Some New Aggregation Operations of Intuitionistic Fuzzy Hypersoft Set","authors":"Muhammad Naveed Jafar, Muhammad Saeed, Faizullah","doi":"10.61356/j.hsse.2024.2337","DOIUrl":"https://doi.org/10.61356/j.hsse.2024.2337","url":null,"abstract":"Multi-criteria decision-making (MCDM) deals with the organization and planning of multiple criteria of choices. To resolve the uncertainties present in MCDM, a new tool has been planned by the name of intuitionistic hypersoft set theory. The contents of this paper consist of the workings of intuitionistic fuzzy hypersoft set theory and its basic operations such as complement, union, intersection, AND, OR operators, etc. The implementation of intuitionistic hypersoft set and its validity has been shown in this study with examples. Personal selection, management problems, and many others can be solved through the proposed operations of this study for better accuracy and precision.","PeriodicalId":518392,"journal":{"name":"HyperSoft Set Methods in Engineering","volume":"6 7","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141797897","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}
{"title":"Enhancing Set-Theoretic Research Methods with Neutrosophic Sets","authors":"Maikel Leyva Vázquez, J. Ricardo, F. Smarandache","doi":"10.61356/j.hsse.2024.2341","DOIUrl":"https://doi.org/10.61356/j.hsse.2024.2341","url":null,"abstract":"This study employed the integration of neutrosophic set theory with set-theoretic methods and Qualitative Comparative Analysis (QCA) to examine intricate social phenomena. Participants' opinions and attitudes were captured using neutrosophic Likert scales, which reflected elements of truth, indeterminacy, and falsity. This proposal is illustrated in a case study facilitated a more comprehensive and subtle examination, emphasizing the significance of variables such as motivation, instructional excellence, and educational resources in achieving academic accomplishment. The results of the necessary condition analysis and set coincidence analysis indicated that motivation and teaching quality have the highest individual impact. Nevertheless, the convergence of scholarly resources, drive, and instructional excellence markedly augmented the likelihood of achieving academic success, underscoring the significance of considering multiple factors collectively. The study proposes that future research should investigate additional sets associated with neutrosophic approaches, such as plithogenic sets, and employ more intricate neutrosophic scales to better capture the complexity of data. This approach provides a comprehensive and precise viewpoint for comprehending cause-and-effect relationships in social phenomena, offering a valuable instrument for research and policy development.","PeriodicalId":518392,"journal":{"name":"HyperSoft Set Methods in Engineering","volume":"1 8","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141797740","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}
{"title":"On the Generalization of Neutrosophic Set Operations: Testing Proofs by Examples","authors":"Adel Al-Odhari","doi":"10.61356/j.hsse.2024.2321","DOIUrl":"https://doi.org/10.61356/j.hsse.2024.2321","url":null,"abstract":"This article aims to present more facts about neutrosophic set theory such as classical set theory. It includes; more connection between operations on the neutrosophic set theory of three types such as union, intersection, difference, and their generalization. further, the generalization of union, intersection, and complement with DE-Morgan's theorem. In addition, we studied the Cartesian Products and their properties. This work opens a new parallel path of a new neutrosophic structure of degree of membership functions that does not depend on intuitionistic fuzzy set and fuzzy set respectively.","PeriodicalId":518392,"journal":{"name":"HyperSoft Set Methods in Engineering","volume":"74 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141682421","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}
Ajoy Kanti Das, F. Smarandache, Rakhal Das, Suman Das
{"title":"A Comprehensive Study on Decision-Making Algorithms in Retail and Project Management using Double Framed Hypersoft Sets","authors":"Ajoy Kanti Das, F. Smarandache, Rakhal Das, Suman Das","doi":"10.61356/j.hsse.2024.2310","DOIUrl":"https://doi.org/10.61356/j.hsse.2024.2310","url":null,"abstract":"In today's dynamic business environment, effective decision-making plays a crucial role in the success of retail businesses and project management endeavors. This paper presents a comprehensive study of decision-making algorithms, focusing on the utilization of Double Framed Hypersoft Sets (DFHS) in retail and project management contexts. The study explores the theoretical foundations of DFHS and its practical applications in customer segmentation, personalized marketing, project selection, and resource allocation. Various algorithms and methodologies incorporating DFHS are discussed and analyzed, highlighting their advantages, limitations, and real-world implications. Through a series of numerical examples, case studies, and comparative analyses, this study provides valuable insights into the role of DFHS in optimizing decision processes, improving business outcomes, and fostering innovation in retail and project management domains.","PeriodicalId":518392,"journal":{"name":"HyperSoft Set Methods in Engineering","volume":"60 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141699127","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}
{"title":"Extension of Double Frame Soft Set to Double Frame Hypersoft Set (DFSS to DFHSS)","authors":"M. Saeed, Hafiz Inam Ul Haq, Mubashir Ali","doi":"10.61356/j.hsse.2024.2293","DOIUrl":"https://doi.org/10.61356/j.hsse.2024.2293","url":null,"abstract":"This paper provides the double framed hyper soft set (DFHSS) by considering different problems that contains multiple functions against same parameters or different parameters. This paper may help us to solve two different kinds of problems under a single definition this may help the reader to makes the decision very easily. We will use the two different types of notion like double framed soft set (DFSS) and hyper soft set and convert it to (DFHSS). In this we will use different aggregation operation including union, intersection, not set, compliment and compliment.","PeriodicalId":518392,"journal":{"name":"HyperSoft Set Methods in Engineering","volume":"38 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141349279","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}
{"title":"A Neutrosophic Approach to Study Agnotology: A Case Study on Climate Change Beliefs","authors":"Maikel Leyva Vázquez, F. Smarandache","doi":"10.61356/j.hsse.2024.2269","DOIUrl":"https://doi.org/10.61356/j.hsse.2024.2269","url":null,"abstract":"Misinformation and biased information significantly impact public perception and political decisions, especially on critical issues such as climate change and environmental conservation. This study aims to understand how indeterminacy and contradiction influence public perception and policy formulation by applying neutrosophic theory to model the complexity and multi-dimensionality of ignorance. Using neutrosophic Likert scales, we capture a nuanced spectrum of opinions on the scientific certainty of human impact on climate change. The results are analyzed through a k-means clustering algorithm to identify patterns and segment participants into groups based on their levels of truth, indeterminacy, and falsehood. This approach reveals deeper insights into public perceptions and aids in evaluating their implications for effective communication and policy-making.","PeriodicalId":518392,"journal":{"name":"HyperSoft Set Methods in Engineering","volume":"34 9","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141118255","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}
{"title":"Inverse Transformation to Generate Neutrosophic Random Variables Following Weibull and Geometric Distributions","authors":"Maissam Jdid","doi":"10.61356/j.hsse.2024.1249","DOIUrl":"https://doi.org/10.61356/j.hsse.2024.1249","url":null,"abstract":"In practical applications, we encounter many systems that cannot be studied directly, and the reason for this is due to the nature of the system or to the high cost. Therefore, we resort to the simulation process, which depends on conducting the study on systems similar to real systems, and then projecting these results, if they are appropriate, onto the system. The real system. The simulation process depends on generating a series of random numbers that follow a uniform probability distribution in the field [0, 1], then converting these random numbers into random variables that follow the probability distribution in which the system to be simulated operates. One of the most important conversion methods is the conversion method. The opposite. This method is used for probability distributions in which we can obtain a function inverse of its cumulative distribution function. In two previous researches, we used this method to generate neutrosophic random variables that follow a uniform distribution in the field [a, b] and the exponential distribution. In this research, we present a valuable study to clarify how to use this method. The method for generating neutrosophic random variables follows the Weibull distribution and the geometric distribution, based on what was presented in the classic study and in the research on neutrosophic random number generation.","PeriodicalId":518392,"journal":{"name":"HyperSoft Set Methods in Engineering","volume":"34 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141014938","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}
{"title":"Assuming Photon as Extended Point Particle in the HyperSoft Topological Space and other Hypotheses: Issues and Trend Analysis","authors":"V. Christianto, F. Smarandache","doi":"10.61356/j.hsse.2024.1200","DOIUrl":"https://doi.org/10.61356/j.hsse.2024.1200","url":null,"abstract":"Following our preceding article, where we discussed alternative interpretations of the advanced perihelion of Mercury, the present article revisits the 1919 solar eclipse expedition led by Arthur Eddington, which famously provided the first observational confirmation of Einstein's theory of general relativity. We focus on the deflection of starlight data obtained during the eclipse, a cornerstone of this validation. Here, we explore three alternative explanations for the observed light bending that challenge the sole attribution to general relativity. Firstly, the paper begins by arguing based on criticisms raised by Tullio Levi-Civita, a contemporary mathematician, regarding Einstein's use of pseudo-tensors in his calculations. Levi-Civita argued that this approach introduced unnecessary complexity and obscured alternative interpretations of the data. Secondly, we delve into astrophysical phenomena that could mimic the observed light deflection, based on the varying speed of light, by assuming a photon has mass. (cf. ‘t Hooft et al., Light is Heavy). Moreover, in the literature, Molodtsov initiated soft set theory as an extension of fuzzy set theory to deal with uncertainties occurring in the natural and social sciences. It attracted the attention of mathematicians as well as social scientists due to its potential to unify certain mathematical aspects and applications in decision making processes; therefore, we shall discuss a bit how to model the photon as an extended massive particle of light, possibly related to such a soft set point [15, 16]. For further exploration, it is possible to assume the crystalline lattice of subvacuum structure (cf. Gremaud) as part of hypersoft topological spaces [16, 16a]. We strongly believe that the true strength of science lies in its continuous search for evidence and refinement of existing models. Therefore, it can be expected that new data can be helpful to reevaluate these matters, for instance, in the upcoming eclipse in the next month of 2024.","PeriodicalId":518392,"journal":{"name":"HyperSoft Set Methods in Engineering","volume":"6 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140766801","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}
{"title":"Evaluating Blockchain Cybersecurity Based on Tree Soft and Opinion Weight Criteria Method under Uncertainty Climate","authors":"F. Smarandache, Mona Mohamed, Michael Voskoglou","doi":"10.61356/j.hsse.2024.17850","DOIUrl":"https://doi.org/10.61356/j.hsse.2024.17850","url":null,"abstract":"In the era of digital transformation (DT), many digital technologies have emerged and have had a positive impact on society. Nevertheless, because of certain issues with existing technologies, innovative technology has developed to eradicate them. Fog computing (FC) plays a vital role as an intermediate between edge layer and cloud computing (CC) to resolve limited resources and capabilities. In the same vein, blockchain technology (BCT) is responsible for resolving privacy and security issues that IoT suffers from. Due to using cryptography rules and hashing which is utilized in BCT to prevent any trickery. Hence, BC shows promise as a possible remedy for the cybersecurity issue, especially in financial services and transactions. In the context of cybersecurity, it's critical to comprehend how financial sector businesses might handle these issues by investigating the use of BCT for financial transactions. Thereby, we constructed Tree Soft Evaluator (TrSEV) framework to evaluate security for enterprises (ENs) that embrace BCT as a cyber security method. The initial and important step in the evaluation process is determining the influenced criteria. In our problem, we modeled the determined criteria of BCT in Tree soft (TrSo) model. After that these criteria are analyzed and obtaining weights for it. Hence, we harnessed Opinion Weight Criteria Method (OWCM) as a novel multi-criteria decision-making (MCDM) technique to obtain criteria weights, and weighted sum model (WSM) is utilized for ranking enterprises and recommending optimal and worst enterprise. Finally, the techniques harnessed in our constructed framework are employed under the authority of Neutrosophic theory, precisely Single value Neutrosophic sets (SVNSs).","PeriodicalId":518392,"journal":{"name":"HyperSoft Set Methods in Engineering","volume":"283 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140532828","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}