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Picture模糊数的改进得分函数在多属性群决策中的应用
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作者 吴孝宇 郑婷婷 +1 位作者 刘钧歌 孟伟伟 《安徽大学学报(自然科学版)》 CAS 北大核心 2024年第3期15-24,共10页
针对picture模糊环境下专家权重和属性权重信息未知的多属性群决策问题进行研究.首先,针对现有picture模糊数的得分函数存在一些不足问题,提出了一种新的得分函数.通过分析其相关性质,并与现有得分函数进行比较,说明其更具合理性,能更... 针对picture模糊环境下专家权重和属性权重信息未知的多属性群决策问题进行研究.首先,针对现有picture模糊数的得分函数存在一些不足问题,提出了一种新的得分函数.通过分析其相关性质,并与现有得分函数进行比较,说明其更具合理性,能更好地处理模糊决策信息.其次,提出了基于得分函数的picture模糊环境下的多属性群决策方法,根据每位专家给出的picture模糊评价信息的不精确程度及不同专家给出信息的差异程度,从个体和群体两方面综合得到决策者权重;利用得分函数构造不同属性的灰靶贡献度,从而确定属性权重.最后,通过实例比较分析验证了所提方法的可行性和有效性. 展开更多
关键词 picture模糊集 picture模糊数 得分函数 多属性群决策
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Corrigendum to“Active components of Dengzhan Shengmai ameliorate cognitive impairment by facilitating hippocampal long-term potentiation via the NMDA receptor-mediated Ca^(2+)/CaMKII pathway”[J.Pharm.Anal.14(2024)435–438]
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作者 Congyu Ma Ning Sheng +4 位作者 Jun Wu Lulu Wang Jiandong Jiang Haibo Yu Jinlan Zhang 《Journal of Pharmaceutical Analysis》 SCIE CAS CSCD 2024年第6期933-933,共1页
The authors regret there was an unfortunate error in the reproduction of Fig.1I in the article.In the original figure,the fluorescence picture of the positive control drug-ifenprodil was misused.The authors have corre... The authors regret there was an unfortunate error in the reproduction of Fig.1I in the article.In the original figure,the fluorescence picture of the positive control drug-ifenprodil was misused.The authors have corrected Fig.1I and provided the original fluorescence pictures of all groups(seven groups,n=5 for each group)to the editorial office.Below,the corrected Fig.1I is shown below.The authors declare that this correction does not affect the description,interpretation,or the original conclusions of the article. 展开更多
关键词 correction Active PICTURE
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NFHP-RN:AMethod of Few-Shot Network Attack Detection Based on the Network Flow Holographic Picture-ResNet
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作者 Tao Yi Xingshu Chen +2 位作者 Mingdong Yang Qindong Li Yi Zhu 《Computer Modeling in Engineering & Sciences》 SCIE EI 2024年第7期929-955,共27页
Due to the rapid evolution of Advanced Persistent Threats(APTs)attacks,the emergence of new and rare attack samples,and even those never seen before,make it challenging for traditional rule-based detection methods to ... Due to the rapid evolution of Advanced Persistent Threats(APTs)attacks,the emergence of new and rare attack samples,and even those never seen before,make it challenging for traditional rule-based detection methods to extract universal rules for effective detection.With the progress in techniques such as transfer learning and meta-learning,few-shot network attack detection has progressed.However,challenges in few-shot network attack detection arise from the inability of time sequence flow features to adapt to the fixed length input requirement of deep learning,difficulties in capturing rich information from original flow in the case of insufficient samples,and the challenge of high-level abstract representation.To address these challenges,a few-shot network attack detection based on NFHP(Network Flow Holographic Picture)-RN(ResNet)is proposed.Specifically,leveraging inherent properties of images such as translation invariance,rotation invariance,scale invariance,and illumination invariance,network attack traffic features and contextual relationships are intuitively represented in NFHP.In addition,an improved RN network model is employed for high-level abstract feature extraction,ensuring that the extracted high-level abstract features maintain the detailed characteristics of the original traffic behavior,regardless of changes in background traffic.Finally,a meta-learning model based on the self-attention mechanism is constructed,achieving the detection of novel APT few-shot network attacks through the empirical generalization of high-level abstract feature representations of known-class network attack behaviors.Experimental results demonstrate that the proposed method can learn high-level abstract features of network attacks across different traffic detail granularities.Comparedwith state-of-the-artmethods,it achieves favorable accuracy,precision,recall,and F1 scores for the identification of unknown-class network attacks through cross-validation onmultiple datasets. 展开更多
关键词 APT attacks spatial pyramid pooling NFHP(network flow holo-graphic picture) ResNet self-attention mechanism META-LEARNING
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An Integrated Bipolar Picture Fuzzy Decision Driven System to Scrutinize Food Waste Treatment Technology through Assorted Factor Analysis
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作者 Navaneethakrishnan Suganthi Keerthana Devi Samayan Narayanamoorthy +5 位作者 Thirumalai Nallasivan Parthasarathy Chakkarapani Sumathi Thilagasree Dragan Pamucar Vladimir Simic Hasan Dinçer Serhat Yüksel 《Computer Modeling in Engineering & Sciences》 SCIE EI 2024年第9期2665-2687,共23页
Food Waste(FW)is a pressing environmental concern that affects every country globally.About one-third of the food that is produced ends up as waste,contributing to the carbon footprint.Hence,the FW must be properly tr... Food Waste(FW)is a pressing environmental concern that affects every country globally.About one-third of the food that is produced ends up as waste,contributing to the carbon footprint.Hence,the FW must be properly treated to reduce environmental pollution.This study evaluates a few available Food Waste Treatment(FWT)technologies,such as anaerobic digestion,composting,landfill,and incineration,which are widely used.A Bipolar Picture Fuzzy Set(BPFS)is proposed to deal with the ambiguity and uncertainty that arise when converting a real-world problem to a mathematical model.A novel Criteria Importance Through Intercriteria Correlation-Stable Preference Ordering Towards Ideal Solution(CRITIC-SPOTIS)approach is developed to objectively analyze FWT selection based on thirteen criteria covering the industry’s technical,environmental,and entrepreneurial aspects.The CRITIC method is used for the objective analysis of the importance of each criterion in FWT selection.The SPOTIS method is adopted to rank the alternative hassle-free,following the criteria.The proposed model offers a rank reversal-free model,i.e.,the rank of the alternatives remains unaffected even after the addition or removal of an alternative.In addition,comparative and sensitivity analyses are performed to ensure the reliability and robustness of the proposed model and to validate the proposed result. 展开更多
关键词 FUZZY food waste treatment selection bipolar picture fuzzy set and decision-making
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Picture最小二乘模糊推理算法在模式识别中的应用
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作者 王林霞 罗敏霞 《中国计量大学学报》 2024年第3期533-540,共8页
目的:由于picture模糊推理全蕴涵算法和picture模糊推理五蕴涵算法所满足的还原性是有条件的还原性,我们寻找一种满足无条件还原性的picture模糊推理算法。方法:将picture模糊集转化为三维模糊集,结合最小二乘模型的思想,构建最小二乘... 目的:由于picture模糊推理全蕴涵算法和picture模糊推理五蕴涵算法所满足的还原性是有条件的还原性,我们寻找一种满足无条件还原性的picture模糊推理算法。方法:将picture模糊集转化为三维模糊集,结合最小二乘模型的思想,构建最小二乘模型的picture模糊推理算法。结果:给出基于最小二乘模型的picture模糊推理算法及其解的表示形式。结论:我们将基于最小二乘模型的picture模糊推理算法应用到模式识别,实验结果表明,本文提出的算法是合理和有效的。 展开更多
关键词 picture模糊集 最小二乘模型 模式识别
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顺应论视域下The Picture of Dorian Gray中译本的对比研究
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作者 滕璐 《现代语言学》 2024年第6期265-271,共7页
The Picture of Dorian Gray是王尔德唯一一部长篇小说,小说语言唯美自然。本文从顺应论的角度出发,从语境顺应、结构顺应以及动态顺应三个方面分析孙宜学译本与荣如德译本的差异。文章发现,两译者对于自己的定位不同,即前者是源语文化... The Picture of Dorian Gray是王尔德唯一一部长篇小说,小说语言唯美自然。本文从顺应论的角度出发,从语境顺应、结构顺应以及动态顺应三个方面分析孙宜学译本与荣如德译本的差异。文章发现,两译者对于自己的定位不同,即前者是源语文化的传播者,后者则是文学作品的传播者,译者的意识程度以及自身定位影响着译者采取的翻译方法,只有找准定位才能更好地翻译,获得更大的阅读价值以及参考价值。 展开更多
关键词 The Picture of Dorian Gray 英汉对比 顺应论 翻译对比
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A Study on the Values and Strategies of English Picture Book Reading for Improving Pupils’ English Reading Literacy
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作者 MAI Yuxuan 《Sino-US English Teaching》 2024年第3期120-126,共7页
Reading is one of the core skills in English learning.It is indispensable for EFL learners to develop good English reading literacy in primary schools.English picture books are consistent with pupils’cognitive and th... Reading is one of the core skills in English learning.It is indispensable for EFL learners to develop good English reading literacy in primary schools.English picture books are consistent with pupils’cognitive and thinking modes,which is valuable to improve their English reading literacy.However,at present,most Chinese pupils have some problems in English reading.The paper aims at analyzing the current problems in Chinese pupils’English reading and digging out the values and strategies of English picture book reading,so as to stimulate their reading interests,cultivate their intercultural awareness,and improve their English reading literacy. 展开更多
关键词 English reading literacy English picture book reading VALUES STRATEGIES
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区间值Picture模糊参数集结算子及其应用
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作者 李明 刘雅雄 周毅 《石河子大学学报(自然科学版)》 CAS 北大核心 2023年第5期640-654,共15页
针对决策信息为区间值Picture模糊数的多属性群决策问题,在充分考虑属性间相互关联的情况下,将区间值Picture模糊数与广义Heronian均值函数和Heronian平均算子结合,定义了区间值Picture模糊参数广义加权Heronian平均算子,并研究了其性... 针对决策信息为区间值Picture模糊数的多属性群决策问题,在充分考虑属性间相互关联的情况下,将区间值Picture模糊数与广义Heronian均值函数和Heronian平均算子结合,定义了区间值Picture模糊参数广义加权Heronian平均算子,并研究了其性质。该信息集结算子能够反映信息的完整性、属性相关性和决策者的风险偏好。然后,提出了一种基于区间值Picture模糊参数广义加权Heronian平均算子的多属性群决策模型。最后,运用本文提出的群决策模型对信息系统进行了最优选择,并与其它模型进行比较,说明所提模型的有效性和优越性。 展开更多
关键词 多属性群决策 模糊性 区间值Picture模糊数 集结算子 广义Heronian均值函数
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一种椭圆加工的智能编程方法
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作者 严瑞强 《机械工程与自动化》 2023年第5期186-188,共3页
以椭圆外轮廓加工为研究对象,采用FANUC PICTURE开发软件强大的贴图和显示方法,开发了椭圆外轮廓加工智能编程人机界面,并进行了实验验证。实验验证结果表明:由椭圆外轮廓加工智能编程人机界面加工的椭圆尺寸和精度符合要求。
关键词 椭圆 FANUC PICTURE 智能编程 人机界面
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Floyd-Warshall Algorithm Based on Picture Fuzzy Information
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作者 Shaista Habib Aqsa Majeed +1 位作者 Muhammad Akram Mohammed M.Ali Al-Shamiri 《Computer Modeling in Engineering & Sciences》 SCIE EI 2023年第9期2873-2894,共22页
The Floyd-Warshall algorithm is frequently used to determine the shortest path between any pair of nodes.It works well for crisp weights,but the problem arises when weights are vague and uncertain.Let us take an examp... The Floyd-Warshall algorithm is frequently used to determine the shortest path between any pair of nodes.It works well for crisp weights,but the problem arises when weights are vague and uncertain.Let us take an example of computer networks,where the chosen path might no longer be appropriate due to rapid changes in network conditions.The optimal path from among all possible courses is chosen in computer networks based on a variety of parameters.In this paper,we design a new variant of the Floyd-Warshall algorithm that identifies an All-Pair Shortest Path(APSP)in an uncertain situation of a network.In the proposed methodology,multiple criteria and theirmutual associationmay involve the selection of any suitable path between any two node points,and the values of these criteria may change due to an uncertain environment.We use trapezoidal picture fuzzy addition,score,and accuracy functions to find APSP.We compute the time complexity of this algorithm and contrast it with the traditional Floyd-Warshall algorithm and fuzzy Floyd-Warshall algorithm. 展开更多
关键词 Trapezoidal picture fuzzy number score function accuracy function shortest path problem Floyd-Warshall algorithm
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Fusion of Hash-Based Hard and Soft Biometrics for Enhancing Face Image Database Search and Retrieval
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作者 Ameerah Abdullah Alshahrani Emad Sami Jaha Nahed Alowidi 《Computers, Materials & Continua》 SCIE EI 2023年第12期3489-3509,共21页
The utilization of digital picture search and retrieval has grown substantially in numerous fields for different purposes during the last decade,owing to the continuing advances in image processing and computer vision... The utilization of digital picture search and retrieval has grown substantially in numerous fields for different purposes during the last decade,owing to the continuing advances in image processing and computer vision approaches.In multiple real-life applications,for example,social media,content-based face picture retrieval is a well-invested technique for large-scale databases,where there is a significant necessity for reliable retrieval capabilities enabling quick search in a vast number of pictures.Humans widely employ faces for recognizing and identifying people.Thus,face recognition through formal or personal pictures is increasingly used in various real-life applications,such as helping crime investigators retrieve matching images from face image databases to identify victims and criminals.However,such face image retrieval becomes more challenging in large-scale databases,where traditional vision-based face analysis requires ample additional storage space than the raw face images already occupied to store extracted lengthy feature vectors and takes much longer to process and match thousands of face images.This work mainly contributes to enhancing face image retrieval performance in large-scale databases using hash codes inferred by locality-sensitive hashing(LSH)for facial hard and soft biometrics as(Hard BioHash)and(Soft BioHash),respectively,to be used as a search input for retrieving the top-k matching faces.Moreover,we propose the multi-biometric score-level fusion of both face hard and soft BioHashes(Hard-Soft BioHash Fusion)for further augmented face image retrieval.The experimental outcomes applied on the Labeled Faces in the Wild(LFW)dataset and the related attributes dataset(LFW-attributes),demonstrate that the retrieval performance of the suggested fusion approach(Hard-Soft BioHash Fusion)significantly improved the retrieval performance compared to solely using Hard BioHash or Soft BioHash in isolation,where the suggested method provides an augmented accuracy of 87%when executed on 1000 specimens and 77%on 5743 samples.These results remarkably outperform the results of the Hard BioHash method by(50%on the 1000 samples and 30%on the 5743 samples),and the Soft BioHash method by(78%on the 1000 samples and 63%on the 5743 samples). 展开更多
关键词 Face image retrieval soft biometrics similar pictures HASHING database search large databases score-level fusion multimodal fusion
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A modified EDAS model for comparison of mobile wallet service providers in India
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作者 Sanjib Biswas Dragan Pamucar 《Financial Innovation》 2023年第1期1215-1245,共31页
The present paper has two-fold purposes.First,the current work provides an integrated theoretical framework to compare popular mobile wallet service providers based on users’views in the Indian context.To this end,we... The present paper has two-fold purposes.First,the current work provides an integrated theoretical framework to compare popular mobile wallet service providers based on users’views in the Indian context.To this end,we propose a new grey correlationbased Picture Fuzzy-Evaluation based on Distance from Average Solution(GCPF-EDAS)framework for the comparative analysis.We integrate the fundamental framework of the Technology Acceptance Model and Unified theory of acceptance and use of technology vis-a-vis service quality dimensions for criteria selection.For comparative ranking,we conduct our analysis under uncertain environments using picture fuzzy numbers.We find that user-friendliness,a wide variety of use,and familiarity and awareness about the products help reduce the uncertainty factors and obtain positive impressions from the users.It is seen that PhonePe(A3),Google Pay(A2),Amazon Pay(A4)and PayTM(A1)hold top positions.For validation of the result,we first compare the ranking provided by our proposed model with that derived by using picture fuzzy score based extensions of EDAS and another widely used algorithm such as The Technique for Order of Preference by Similarity to Ideal Solution.We observe a significant consistency.We then carry out rank reversal test for GCPF-EDAS model.We notice that our proposed GCPF-EDAS model does not suffers from rank reversal phenomenon.To examine the stability in the result for further validation,we carry out the sensitivity analysis by varying the differentiating coefficient and exchanging the criteria weights.We find that our proposed method provides stable result for the present case study and performs better as ranking order does not get changed significantly with the changes in the given conditions. 展开更多
关键词 Picture fuzzy Grey correlation EDAS method TOPSIS Comparison of mobile wallets
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Picture-Neutrosophic Trusted Safe Semi-Supervised Fuzzy Clustering for Noisy Data
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作者 Pham Huy Thong Florentin Smarandache +5 位作者 Phung The Huan Tran Manh Tuan Tran Thi Ngan Vu Duc Thai Nguyen Long Giang Le Hoang Son 《Computer Systems Science & Engineering》 SCIE EI 2023年第8期1981-1997,共17页
Clustering is a crucial method for deciphering data structure and producing new information.Due to its significance in revealing fundamental connections between the human brain and events,it is essential to utilize cl... Clustering is a crucial method for deciphering data structure and producing new information.Due to its significance in revealing fundamental connections between the human brain and events,it is essential to utilize clustering for cognitive research.Dealing with noisy data caused by inaccurate synthesis from several sources or misleading data production processes is one of the most intriguing clustering difficulties.Noisy data can lead to incorrect object recognition and inference.This research aims to innovate a novel clustering approach,named Picture-Neutrosophic Trusted Safe Semi-Supervised Fuzzy Clustering(PNTS3FCM),to solve the clustering problem with noisy data using neutral and refusal degrees in the definition of Picture Fuzzy Set(PFS)and Neutrosophic Set(NS).Our contribution is to propose a new optimization model with four essential components:clustering,outlier removal,safe semi-supervised fuzzy clustering and partitioning with labeled and unlabeled data.The effectiveness and flexibility of the proposed technique are estimated and compared with the state-of-art methods,standard Picture fuzzy clustering(FC-PFS)and Confidence-weighted safe semi-supervised clustering(CS3FCM)on benchmark UCI datasets.The experimental results show that our method is better at least 10/15 datasets than the compared methods in terms of clustering quality and computational time. 展开更多
关键词 Safe semi-supervised fuzzy clustering picture fuzzy set neutrosophic set data partition with noises fuzzy clustering
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Cayley Picture Fuzzy Graphs and Interconnected Networks
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作者 Waheed Ahmad Khan Khurram Faiz Abdelghani Taouti 《Intelligent Automation & Soft Computing》 SCIE 2023年第3期3317-3330,共14页
Theory of the Cayley graphs is directly linked with the group theory.However,if there are uncertainties on the vertices or edges or both then fuzzy graphs have an extraordinary importance.In this perspective,numbers o... Theory of the Cayley graphs is directly linked with the group theory.However,if there are uncertainties on the vertices or edges or both then fuzzy graphs have an extraordinary importance.In this perspective,numbers of generalηizations of fuzzy graphs have been explored in the literature.Among the others,picture fuzzy graph(PFG)has its own importance.A picture fuzzy graph(PFG)is a pair G=(C,D)defined on a H^(*)=(A,B),where C=(ηC,θ_(C),■_(C))is a picture fuzzy set on A and D=(ηD,θ_(D),■_(D))is a picture fuzzy set over the set B∈A×A such that for any edge mn∈ B with ηD(m,n)≤min(ηC(m),ηC(n)),θD(m,n)≤min(θC(m),θC(n))and ■_(D)(m,n)≥max(■_(C)(m),■_(C)(n)).In this manuscript,we introduce the notion of the Cayley picture fuzzy graphs on groups which is the generalization of the picture fuzzy graphs.Firstly,we discuss few important characteristics of the Cayley picture fuzzy graphs.We show that Cayley picture fuzzy graphs are vertex transitive and hence regular.Then,we investigate different types of Cayley graphs induced by the Cayley picture fuzzy graphs by using different types of cuts.We extensively discuss the term connectivity of the Cayley picture fuzzy graphs.Vertex connectivity and edge connectivity of the Cayley picture fuzzy graphs are also addressed.We also investigate the linkage between these two.Throughout,we provide the extensions of some characηteristics of both the PFGs and Cayley fuzzy graphs in the setting of Cayley picture fuzzy graphs.Finally,we provide the model of interconnected networks based on the Cayley picture fuzzy graphs. 展开更多
关键词 Cayley picture fuzzy graphs strong CPFGs connected CPFGs cut sets of CPFGs
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Not one thing at a time:When concomitant multiple stressors produce a transdiagnostic clinical picture
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作者 Sari Goldstein Ferber Gal Shoval +1 位作者 Aron Weller Gil Zalsman 《World Journal of Psychiatry》 SCIE 2023年第7期402-408,共7页
A condition of exposure to multiple stressors resulting in a mixed clinical picture spanning conventional categories without meeting any of them in full,encompasses a risk for a list of comorbidities preventing approp... A condition of exposure to multiple stressors resulting in a mixed clinical picture spanning conventional categories without meeting any of them in full,encompasses a risk for a list of comorbidities preventing appropriate prevention and treatment.New transformative transdiagnostic approaches suggest changes spanning conventional categories.They base their systems of classification on biomarkers as well as on brain structural and functional dysregulation as associated with behavioral and emotional symptoms.These new approaches received critiques for not being specific enough and for suggesting a few biomarkers for psychopathology as a whole.Therefore,they put the value of differential diagnosis at risk of avoiding appropriate derived prevention and treatment.Multiplicity of stressors has been considered mostly during and following catastrophes,without considering the resulting mixed clinical picture and life event concomitant stressors.We herewith suggest a new category within the conventional classification systems:The Complex Stress Reaction Syndrome,for a condition of multiplicity of stressors,which showed a mixed clinical picture for daily life in the post coronavirus disease 2019 era,in the general population.We argue that this condition may be relevant to daily,regular life,across the lifespan,and beyond conditions of catastrophes.We further argue that this condition may worsen without professional care and it may develop into a severe mental health disorder,more costly to health systems and the suffering individuals.Means for derived prevention and treatment are discussed. 展开更多
关键词 TRANSDIAGNOSTIC Multiple stressors Clinical picture PREVENTION Treatment Interpersonal psychotherapy Cognitive behavioral therapy
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Oxbridge Pictures in Woolf’s A Room of One’s Own
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作者 XIA Jia-yi ZHONG Jing-dong 《Journal of Literature and Art Studies》 2023年第6期389-398,共10页
A Room of One’s Own is a masterpiece by Virginia Woolf, which describes her understanding of literary creation and the issue of women and fiction. The content of this book is based on Woolf’s two speeches at Cambrid... A Room of One’s Own is a masterpiece by Virginia Woolf, which describes her understanding of literary creation and the issue of women and fiction. The content of this book is based on Woolf’s two speeches at Cambridge, with the theme of “Women and fiction.” Through the analysis of the history and current situation of female literary creation, the paper points out that women should have the courage and right to fight for independent economic power and social status. “Oxbridge” is a combined term of Oxford and Cambridge, and Oxbridge pictures dominate the first chapter of A Room of One’s Own, which are the focus of this paper. Through a detailed analysis of the different indoor and outdoor pictures of Oxbridge, including nature, landscape, humanistic architecture and the “pictures” imagined in the narrator’s mind, this paper discusses the existence of Victorian women and Woolf’s feminist thoughts so as to provide possible implications for the social survival of contemporary women. The study is also concerned with Woolf’s Eco-feminism, stream of consciousness and other artistic skills. 展开更多
关键词 A Room of One’s Own WOOLF Oxbridge picture FEMINISM
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Stability of Nuclei Based on the New Proton and Neutron Model
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作者 Ágnes Cziráki 《Natural Science》 2023年第12期289-299,共11页
According to the new proton and neutron nuclear picture described earlier, the structure of the nucleus will also be given a new interpretation. The role of the delocalized electrons detached from the outer shell of n... According to the new proton and neutron nuclear picture described earlier, the structure of the nucleus will also be given a new interpretation. The role of the delocalized electrons detached from the outer shell of neutrons is shown in the binding energy value of the nucleus. It is pointed out that the spatial arrangement of nucleons is also very important for the stability of nuclei according to the analyzation of the magic numbers from a geometric point of view. 展开更多
关键词 New Nuclear Picture of Nuclei Stability of Nuclei Binding Energy Magic Numbers
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Arithmetic Operations of Generalized Trapezoidal Picture Fuzzy Numbers by Vertex Method
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作者 Mohammad Kamrul Hasan Abeda Sultana Nirmal Kanti Mitra 《American Journal of Computational Mathematics》 2023年第1期99-121,共23页
In this article, we define the arithmetic operations of generalized trapezoidal picture fuzzy numbers by vertex method which is assembled on a combination of the (α, γ, β)-cut concept and standard interval analysis... In this article, we define the arithmetic operations of generalized trapezoidal picture fuzzy numbers by vertex method which is assembled on a combination of the (α, γ, β)-cut concept and standard interval analysis. Various related properties are explored. Finally, some computations of picture fuzzy functions over generalized picture fuzzy variables are illustrated by using our proposed technique. 展开更多
关键词 Picture Fuzzy Set Generalized Trapezoidal Picture Fuzzy Number γ β)-Cut Arithmetic Operations Vertex Method
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Picture Fuzzy Relations over Picture Fuzzy Sets
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作者 Mohammad Kamrul Hasan Abeda Sultana Nirmal Kanti Mitra 《American Journal of Computational Mathematics》 2023年第1期161-184,共24页
Nowadays, picture fuzzy set theory is a flourishing field in mathematics with uncertainty by incorporating the concept of positive, negative and neutral membership degrees of an object. A traditional crisp relation re... Nowadays, picture fuzzy set theory is a flourishing field in mathematics with uncertainty by incorporating the concept of positive, negative and neutral membership degrees of an object. A traditional crisp relation represents the satisfaction or the dissatisfaction of relationship, connection or correspondence between the objects of two or more sets. However, there are some problems that can’t be solved through classical relationships, such as the relationship between two objects being vague. In those situations, picture fuzzy relation over picture fuzzy sets is an important and powerful concept which is suitable for describing correspondences between two vague objects. It represents the strength of association of the elements of picture fuzzy sets. It plays an important role in picture fuzzy modeling, inference and control system and also has important applications in relational databases, approximate reasoning, preference modeling, medical diagnosis, etc. In this article, we define picture fuzzy relations over picture fuzzy sets, including some other fundamental definitions with illustrations. The max-min and min-max compositions of picture fuzzy relations are defined in the light of picture fuzzy sets and discussed some properties related to them. The reflexivity, symmetry and transitivity of a picture fuzzy relation are described over a picture fuzzy set. Finally, various properties are explored related to the picture fuzzy relations over a picture fuzzy set. 展开更多
关键词 Picture Fuzzy Sets Picture Fuzzy Relations Picture Fuzzy Binary Rela-tions Composition of Picture Fuzzy Relations
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The Tantou New Year Picture
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作者 王宇轩 阳城(指导) 《中学生英语》 2023年第19期7-7,共1页
Tantou is an ancient town in Longhui,Hunan.And the Tantou New Year Picture is a famous traditional art form.It first appeared in the Tang Dynasty.And it is mostly used for the Spring Festival.There are more than 20 st... Tantou is an ancient town in Longhui,Hunan.And the Tantou New Year Picture is a famous traditional art form.It first appeared in the Tang Dynasty.And it is mostly used for the Spring Festival.There are more than 20 steps to make it.All these steps,from making paper by hand to producing the New Year Picture,are finished in one place.That s amazing.It's very popular for its special features--bright colors,old and exagge-rated images,ordinary materials and special skills. 展开更多
关键词 PICTURE SPRING STEPS
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