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A Novel Approach by using Interval-Valued Trapezoidal Neutrosophic Numbers in Transportation Problem 用区间值梯形嗜中性数求解运输问题的新方法
Q1 Mathematics Pub Date : 2022-01-01 DOI: 10.5281/zenodo.7135283
R. Saini, A. Sangal, Ashik Ahirwar
In today's scenario transportation problem [TP] is the prominent area of optimization. In the present paper, a TP in a neutrosophic environment, known as a neutrosophic transportation problem [NTP] is introduced with interval-valued trapezoidal neutrosophic numbers [IVTrNeNs]. To maintain physical distance among the industrialists and researchers during the covid-19 pandemic, the intervalvalued fuzzy numbers [IVFNs] in place of crisp numbers are very much essential to address the hesitation and uncertainty in real-life situations. IVTrNeN is the generalization of single-valued neutrosophic numbers [SVNeN], which are used as the cost, the demand, and the supply to transport the necessary equipment, medicines, food products, and other relevant items from one place to another to save the human lives in a covid-19 pandemic. A Neutrosophic set, which has uncertainty, inconsistency, and incompleteness information is the principle of crisp, fuzzy, and intuitionistic fuzzy sets. Here we suggest some numerical problems for better execution of the neutrosophic transportation problem [NTP], to understand the practical applications of interval-valued neutrosophic numbers [IVNeNs]. In the last, we compare our results and a conclusion is given in support of our proposed result methodology with IVTrNeNs. © 2022, Neutrosophic Sets and Systems. All Rights Reserved.
在当今的场景中,运输问题[TP]是优化的突出领域。本文用区间值梯形嗜中性数[IVTrNeNs]引入嗜中性环境中的一个TP,即嗜中性运输问题[NTP]。在2019冠状病毒病大流行期间,为了保持实业家和研究人员之间的物理距离,用区间模糊数代替清晰数字,对于解决现实生活中的犹豫和不确定性至关重要。IVTrNeN是单值中性粒细胞数[SVNeN]的泛化,用于在covid-19大流行期间将必要的设备、药品、食品和其他相关物品从一个地方运输到另一个地方以拯救人类生命的成本、需求和供应。具有不确定性、不一致性和不完备信息的中性集是清晰、模糊和直觉模糊集的原理。在这里,我们提出了一些数值问题,以更好地执行中性粒细胞运输问题[NTP],以了解区间值中性粒细胞数[IVNeNs]的实际应用。最后,我们比较了我们的结果,并给出了一个结论,支持我们提出的结果方法与IVTrNeNs。©2022,Neutrosophic Sets and Systems。版权所有。
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引用次数: 0
Neutrosophic N-structures on Sheffer stroke BE-algebras Sheffer-stroke BE代数上的Neutrosophin结构
Q1 Mathematics Pub Date : 2021-05-10 DOI: 10.21203/rs.3.rs-588865/v1
T. Oner, T. Katican, S. Svanidze, A. Rezaei
In this study, a neutrosophic N-subalgebra, a (implicative) neutrosophic N-filter, level sets of these neutrosophic N-structures and their properties are introduced on a Sheffer stroke BE-algebras (briefly, SBE-algebras). It is proved that the level set of neutrosophic N-subalgebras ((implicative) neutrosophic N-filter) of this algebra is the SBE-subalgebra ((implicative) SBE-filter) and vice versa. Then it is proved that the family of all neutrosophic N-subalgebras of a SBE-algebra forms a complete distributive modular lattice. We present relationships between upper sets and neutrosophic N-filters of this algebra. Also, it is given that every neutrosophic N-filter of a SBE-algebra is its neutrosophic N-subalgebra but the inverse is generally not true. It is demonstrated that a neutrosophic N-structure on a SBE-algebra defi ned by a (implicative) neutrosophic N-filter of another SBE-algebra and a surjective SBE-homomorphism is a (implicative) neutrosophic N-filter. We present relationships between a neutrosophic N-filter and an implicative neutrosophic N-filter of a SBE-algebra in detail. Finally, certain subsets of a SBE-algebra are determined by means of N-functions and some properties are examined.
本文在Sheffer stroke BE代数(简称SBE代数)上引入了一个中性子代数,一个(隐含的)中性滤波器,这些中性N结构的水平集及其性质。证明了该代数的中性子代数N((蕴涵)中性子滤波器)的水平集是SBE子代数((隐含)SBE滤波器),反之亦然。然后证明了SBE代数的所有中性子代数的N子代数族形成了一个完整的分配模格。我们给出了这一代数的上集和中性N滤波器之间的关系。此外,还给出了SBE代数的每一个中子光滑N滤波器都是它的中子光滑N子代数,但其逆一般不是真的。证明了由另一个SBE代数的(蕴涵的)中性纯素N滤子和满射SBE同态定义的SBE代数上的中性纯素N-结构是(隐含的)中性精素N-滤子。我们详细地给出了SBE代数的中性粒细胞N滤子和隐含中性粒细胞N-滤子之间的关系。最后,利用N函数确定了SBE代数的某些子集,并检验了它们的一些性质。
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引用次数: 1
PESTEL Analysis to Identify Key Barriers to Smart Cities Development in India PESTEL分析确定印度智慧城市发展的主要障碍
Q1 Mathematics Pub Date : 2021-05-01 DOI: 10.5281/ZENODO.4711497
M. Wajid, Aasim Zafar
The development of smart cities has been gaining attention not only in India but across borders. The development of these cities is supposed to bring India as a smart India in the global market. With all odds in favor; these projects are not gaining their expected on-time results. This has motivated us to think that there are loopholes that are putting hindrance to smart cities development. The aim of this study is to identify and prioritize mathematically the key barriers using the neutrosophic PESTEL analysis technique. An extensive literature survey of the problem provides a lot of factors which are categorized in six main factors such as social, political, legal, ethical and technological factors. Present work using neutrosophic PESTEL analysis finds that social and political factors with 93% and 83% are the key barriers to the development of smart cities in India. Other factors such as Technological and economic factors come at second position securing percentage 75% and 60% respectively. Environmental and legal factors come at last securing 49% and 43% respectively. The research’s main focus is to identify and prioritize quantitatively the most important barriers which come into smart cities development in India. This research in many ways would aid the Government agencies and policymakers to prioritize the key barriers at an early stage so that the development may take place as expected and get completed within the stipulated time frame.
智慧城市的发展不仅在印度受到关注,而且在各国都受到关注。这些城市的发展应该会把印度作为一个聪明的印度带入全球市场。以一切有利的条件;这些项目没有获得预期的准时结果。这促使我们认为存在阻碍智慧城市发展的漏洞。本研究的目的是使用中性PESTEL分析技术在数学上识别和优先考虑关键障碍。广泛的文献调查提供了很多因素,这些因素分为六个主要因素,如社会,政治,法律,道德和技术因素。目前使用中性PESTEL分析的工作发现,93%和83%的社会和政治因素是印度智能城市发展的主要障碍。其他因素,如技术和经济因素排在第二位,分别占75%和60%。环境和法律因素分别占49%和43%。该研究的主要重点是确定印度智能城市发展中最重要的障碍,并对其进行量化排序。这项研究在许多方面将有助于政府机构和政策制定者在早期阶段优先考虑主要障碍,以便开发可以按预期进行并在规定的时间框架内完成。
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引用次数: 5
Neutrosophic Beta Distribution with Properties and Applications 信转β分布及其性质和应用
Q1 Mathematics Pub Date : 2021-03-01 DOI: 10.5281/ZENODO.4625715
Rehan Ahmad Khan Sherwani, M. Naeem, M. Aslam, M. Raza, M. Abid, Shumaila Abbas
This research is an extension of classical statistics distribution theory as the theory did notdeal with the problems having ambiguity, impreciseness, or indeterminacy. An important life-timedistribution called Beta distribution from classical statistics is proposed by considering theindeterminate environment and named the new proposed distribution as neutrosophic betadistribution. Various distributional properties like mean, variance, moment generating function, r-thmoment order statistics that includes smallest order statistics, largest order statistics, joint orderstatistics, and median order statistics are derived. The parameters of the proposed distribution areestimated via maximum likelihood method. Proposed distribution is applied on two real data setsand goodness of fit is assessed through AIC and BIC criteria’s. The estimates of the proposeddistribution suggested a better fit than the classical form of Beta distribution and recommended to usewhen the data in the interval form follows a Beta distribution and have some sort of indeterminacy
本研究是对经典统计分布理论的延伸,因为经典统计分布理论没有解决统计分布的模糊性、不精确性和不确定性问题。在考虑不确定环境的情况下,从经典统计学中提出了一个重要的寿命分布,称为Beta分布,并将其命名为嗜中性Beta分布。各种分布特性,如均值、方差、矩生成函数、r-矩阶统计量,包括最小阶统计量、最大阶统计量、联合阶统计量和中位数阶统计量。通过极大似然法估计了所提出分布的参数。将所提出的分布应用于两个真实数据集,并通过AIC和BIC准则评估拟合优度。所提出的分布的估计表明比经典形式的Beta分布有更好的拟合,并建议在区间形式的数据遵循Beta分布并且具有某种不确定性时使用
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引用次数: 6
Opportunities for Software Testing using Neutrosophic Numbers 使用中性数字进行软件测试的机会
Q1 Mathematics Pub Date : 2020-10-19 DOI: 10.5281/ZENODO.4135024
Alberto Santillán Molina, W. C. Calle, J. B. Remache
For software development companies, deciding which development methodology to use when starting a project is in many cases an important task to perform. The selection of development methodology can be modeled as a decision-making problem. Neutrosophy is a philosophical current that starts from Paradoxism. In this article, we describe a methodology selection proposal using neutrosophic numbers, from which the development methodology proposal is decided. The method allows taking into account the indeterminacy in decision-making, in addition to the use of linguistic terms that are more appropriate than numerical ones. The applicability of the proposal is confirmed through a demonstrative example. The paper ends with the conclusions and recommendations for future work.
对于软件开发公司来说,在许多情况下,决定在启动项目时使用哪种开发方法是一项重要的任务。开发方法的选择可以建模为一个决策问题。Neutrosophy是一股起源于悖论的哲学潮流。在本文中,我们描述了一个使用中子数的方法选择方案,从中决定了开发方法方案。除了使用比数字术语更合适的语言术语外,该方法还允许考虑决策中的不确定性。通过实例验证了该方案的适用性。论文最后得出结论,并对今后的工作提出建议。
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引用次数: 0
A Study of Social Media linked MCGDM Skill under Pentagonal Neutrosophic Environment in the Banking Industry 银行业五边形中性环境下社交媒体关联MCGDM技能研究
Q1 Mathematics Pub Date : 2020-07-01 DOI: 10.5281/ZENODO.3951649
Nidhi Singh, Avishek Chakraborty, S. Biswas, M. Majumdar
Social media is a new observable fact in computer-based technology and neutrosophic theory.Researchers are now thinking of the power of social media in banks as it is the fastest expandingonline noticeable fact and banks with poor presence in social media are facing identity crisis underuncertainty fields. Through social media we can share ideas and information through establishingvirtual networks. Initially it was evident that people used it for personal interaction with friends andrelatives but with changing time it is established that business houses and financial institutionsincluding Banks are using this popular technology to reach out to the prospective customers.Especially in the banking industry digital communication is becoming most popular and powerfulas here consumers' interface is obligatory. Online communication has become a powerful mediumbetween banks and consumers. The power of social media is to connect and share information withpeople across globe. Social Media in Indian Bank is not only a medium of advertising but it alsohelps the Banks to be a part of their customers’ life as this relation involves conversation beyondbusiness under neutrosophic environment. The aim of this study is to find out the best social mediaas per users’ preference and explore its impact on Banks’ business in pentagonal neutrosophic(PNN) arena by increasing customer satisfaction and augment customer relationship managementin banking industry.
社交媒体是基于计算机的技术和中性理论中一个新的可观察到的事实。研究人员现在正在考虑社交媒体对银行的影响,因为它是网络上扩张最快的显著事实,而在社交媒体上存在不足的银行在不确定领域正面临身份危机。通过社交媒体,我们可以通过建立虚拟网络来分享想法和信息。最初,人们显然是用它来与朋友和亲戚进行个人互动,但随着时代的变化,商业机构和包括银行在内的金融机构已经开始使用这种流行的技术来接触潜在的客户。特别是在银行业,数字通信正变得最流行和强大,在这里,消费者接口是必不可少的。网上交流已经成为银行和消费者之间的一个强有力的媒介。社交媒体的力量在于与全球各地的人们联系和分享信息。印度银行的社交媒体不仅是一种广告媒介,而且还帮助银行成为客户生活的一部分,因为这种关系涉及在中性环境下的商业以外的对话。本研究的目的是找出最符合用户偏好的社交媒体,并探讨其在五边形中性哲学(PNN)领域对银行业务的影响,以提高银行业的客户满意度和加强客户关系管理。
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引用次数: 1
Neutrosophic Quadruple Algebraic Codes over Z2 and their Properties Z2上的中性四重代数码及其性质
Q1 Mathematics Pub Date : 2020-05-02 DOI: 10.5281/ZENODO.3782891
Vasantha Kandasamy, Ilanthenral Kandasamy, F. Smarandache
. In this paper we for the first time develop, define and describe a new class of algebraic codes using Neutrosophic Quadruples which uses the notion of known value, and three unknown triplets ( T, I, F ) where T is the truth value, I is the indeterminate and F is the false value. Using this Neutrosophic Quadruples several researchers have built groups, NQ-semigroups, NQ-vector spaces and NQ-linear algebras. However, so far NQ algebraic codes have not been developed or defined. These NQ-codes have some peculiar properties like the number of message symbols are always fixed as 4-tuples, that is why we call them as Neutrosophic Quadruple codes. Here only the check symbols can vary according to the wishes of the researchers. Further we find conditions for two NQ-Algebraic codewords to be orthogonal. In this paper we study these NQ codes only over the field Z 2 . However, it can be carried out as a matter of routine in case of any field Z p of characteristics p .
. 本文首次利用已知值和三个未知三元组(T, I, F)(其中T为真值,I为不定值,F为假值)的概念,发展、定义和描述了一类新的代数码。利用这个嗜中性四倍数,一些研究者已经建立了群、nq -半群、nq -向量空间和nq -线性代数。然而,到目前为止,还没有开发或定义NQ代数码。这些nq码有一些特殊的属性,比如消息符号的数量总是固定为4元组,这就是为什么我们称它们为嗜中性四元码。这里只有检查符号可以根据研究人员的意愿而变化。进一步给出了两个nq -代数码字正交的条件。本文只研究了域z2上的这些NQ码。然而,对于任何特征为p的场zp,它都可以作为一种例行公事来进行。
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引用次数: 5
Neutrosophic AHP for the prioritization of requirements for a computerized facial recognition system 用于计算机化面部识别系统需求优先排序的中性层次分析法
Q1 Mathematics Pub Date : 2020-04-25 DOI: 10.5281/ZENODO.3766530
Nelson Patricio Becerra Arévalo, Marco Fernando Calles Carrasco, John Luis Toasa Espinoza, Miguel Velasteguí Córdova
. The Cooperative of Taxis and Vans of Puyo in Ecuador is dedicated to the transportation of people and minor loads. Due to the considerable number of members of this cooperative, it is difficult to determine the presence of each of the participants in the meetings. That is why it was decided to implement a facial recognition system that allows identifying the presence of members in each moment. However, in order to apply this system, certain requirements are needed for guaranteeing its success. This paper aims to apply the neutrosophic Analytic Hierarchy Process (NAHP) technique for analyzing the prioritization of requirements necessary to implement a facial recognition system in the cooperative. Neutrosophic AHP permits including the indetermination incorporated in neutrosophic models and additionally experts can provide their evaluations based on linguistic terms, which results in greater ease and effectiveness to evaluate.
. 厄瓜多尔Puyo的出租车和货车合作社致力于运送人和小货物。由于这个合作社的成员数量相当多,很难确定每个参与者是否出席了会议。这就是为什么决定实施面部识别系统,可以随时识别成员的存在。然而,为了保证该系统的成功应用,需要满足一定的要求。本文旨在应用中性层次分析法(NAHP)技术来分析在合作社中实现面部识别系统所需的需求优先级。中性粒细胞AHP允许将不确定性纳入中性粒细胞模型,此外专家可以根据语言术语提供他们的评估,这使得评估更加容易和有效。
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引用次数: 10
A Neutrosophic Statistic Method to Predict Tax Time Series in Ecuador 预测厄瓜多尔税收时间序列的Neutrosophic统计方法
Q1 Mathematics Pub Date : 2020-04-25 DOI: 10.5281/ZENODO.3843289
Lilia Esther Valencia Cruzaty, Mariela Reyes Tomalá, Carlos Manuel Castillo Gallo
. Prediction of tax collection behavior is an essential tool for social planning by the State of any country. The tax is the State’s mechanism for budget collection, which is necessary to accomplish public services that benefit the whole society. This paper firstly aims to propose a method of predicting time series where values can be given in form of intervals rather than numbers. This form permits to obtain more truthful results, but with a greater indeterminacy. Because statistical prediction methods are used, where data in form of intervals are included, we can classify this approach as a kind of Neutrosophic Statistics technique. Basically, the method converts a set of predicted numerical values into intervals. The second objective is to apply the method to predict the monthly income from taxes in Ecuador for the year 2019.
. 对税收征收行为的预测是任何国家进行社会规划的重要工具。税收是国家的预算征收机制,是实现造福全社会的公共服务的必要条件。本文首先提出了一种预测时间序列的方法,其中值可以以区间而不是数字的形式给出。这种形式允许获得更真实的结果,但具有更大的不确定性。由于使用了统计预测方法,其中包含了区间形式的数据,因此我们可以将这种方法归类为一种中性统计技术。基本上,该方法将一组预测数值转换为区间。第二个目标是应用该方法预测厄瓜多尔2019年的月度税收收入。
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引用次数: 15
A Novel Plithogenic MCDM Framework for Evaluating the Performance of IoT Based Supply Chain 基于物联网的供应链绩效评估的新型多源MCDM框架
Q1 Mathematics Pub Date : 2020-04-01 DOI: 10.5281/ZENODO.3808980
M. Grida, Rehab Mohamed, A. N. Zaied
The Internet of Things (IoT) is used in the Supply chain management (SCM) systems to respond to the globalization of complex and dynamic markets and competitiveness in various supply chain scopes. Despite the current buzz about IoT and its role in the supply chain, there is not enough empirical data or extensive expertise to guide its implementation. Therefore, this paper addresses the ambiguity of assessing the performance of the IoT based supply chain by integrating plithogenic set with both Best-Worst (BWM) and Vlse Kriterijumska Optimizacija Kompromisno Resenje (VIKOR) methods in a decision-making framework tailored for this field. The framework is based on 23 criteria that measure different aspects of the performance. The performance of the framework is assessed according to the plithogenic set theory and to the neutrosophic set theory using a case study of comparing the performance of IoT implantation with the SC of five e-commerce companies using three experts. The case study shows that the proposed framework has more consideration of the contradiction degree of each criteria to improve the accuracy of the evaluation results.
在供应链管理(SCM)系统中使用物联网(IoT)来响应复杂和动态市场的全球化以及各种供应链范围内的竞争。尽管目前人们对物联网及其在供应链中的作用议论纷纷,但没有足够的经验数据或广泛的专业知识来指导其实施。因此,本文在为该领域量身定制的决策框架中,通过将plithogenic set与Best-Worst (BWM)和Vlse Kriterijumska Optimizacija Kompromisno Resenje (VIKOR)方法相结合,解决了评估基于物联网的供应链绩效的模糊性。该框架基于23个衡量绩效不同方面的标准。通过三名专家对五家电子商务公司的物联网植入与SC的性能进行比较的案例研究,根据增生性集合理论和嗜中性集合理论对框架的性能进行了评估。实例研究表明,该框架更多地考虑了各准则之间的矛盾程度,提高了评价结果的准确性。
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引用次数: 15
期刊
Neutrosophic Sets and Systems
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