Implicative and Fuzzy Implicative Ideals of Lattice Implication Algebras

In this paper, we defined the concept of implicative and fuzzy implicative ideals of lattice implication algebras, and discussed the properties of them. And then, we pointed out the relations between implicative ideal and LI _ideal, implicative iedal and implicative filter, implicative ideal and fuzzy implicative ideal, fuzzy implicative ideal and fuzzy implicative filter, and fuzzy implicative ideal and fuzzy LI _ideal.

On the Adjoint Semigroup of Implicative BCK-algebras

We prove that the adjoint semigroup of an implicative BCK algebra is an upper semilattice, and the adjoint semigroup of an implicative BCK algebra with condition(s) is a generalized Boolean algebra. Moreover we prove the adjoint semigroup of a bounded implicative BCK algebra is a Boolean algebra.

关于BL-代数的implicative滤子的一些结果

通过研究BL-代数的implicative滤子的等价条件,得到了normal滤子与implicative滤子之间的关系,并给出了两个公开问题"一个normal滤子在什么合适条件下成为fantastic滤子?"和"在什么合适的条件下,normal滤子的拓展性成立?"结论成立的一种条件。

The Semigroup Characterizations of Positive Implicative BCK-algebras

Adjoint semigroups of BCI algebras were introduced by Huang [1] and some of its important properties were obtained. In this paper,some characterizations of positive implicative BCK algebras are given by discussing the adjoint semigroups. Moreover,the semigroup differences between positive BCK algebras and implicative BCK algebras are discussed,and some semigroup characterizations of implicative BCK algebras are given.

Some properties of fuzzy positive implicative ideals in a BCK-algebras

In this paper, we use the notion of fuzzy point to study ideal and positive implicative ideal in BCK algebras, then we clarify the links between the fuzzy point approach, the classical fuzzy approach and the ordinary case.

Implicative Pseudo Valuations on Hoops

The concept of implicative pseudo valuations on hoops is introduced and some related properties are investigated. As an application of properties of pseudo valuations, we find the relationship between a pseudo valuation and an implicative pseudo valuation and obtain some characterizations of implicative pseudo valuations. In particular, we show that a pseudo valuation on regular hoops is implicative if and only if it satisfies φ(x■x') = 0.This result will provide a more general algebraic foundation for pseudo valuations theory on algebraic structures based on substructure logic.

Fuzzy Ordered Filters in Implicative Semigroups

We fuzzify the concept of ordered filter in implicative negatively partially ordered semigroups and study its properties.

Depositional model of the Member Deng-2 marginal microbial mound-bank complex of the Dengying Formation in the southwestern Sichuan Basin, SW China: Implications for the Ediacaran microbial mound construction and hydrocarbon exploration

Recent advances in hydrocarbon exploration have been made in the Member Deng-2 marginal microbial mound-bank complex reservoirs of the Dengying Formation in the western Sichuan Basin, SW China,where the depositional process is regarded confusing. The microfacies, construction types, and depositional model of the Member Deng-2 marginal microbial mound-bank complex have been investigated using unmanned aerial vehicle photography, outcrop section investigation, thin section identification,and seismic reflections in the southwestern Sichuan Basin. The microbialite lithologic textures in this region include thrombolite, dendrolite, stromatolite, fenestral stromatolite, spongiostromata stone,oncolite, aggregated grainstone, and botryoidal grapestone. Based on the comprehensive analysis of“depositional fabrics-lithology-microfacies”, an association between a fore mound, mound framework,and back mound subfacies has been proposed based on water depth, current direction, energy level and lithologic assemblages. The microfacies of the mound base, mound core, mound flank, mound cap, and mound flat could be recognized among the mound framework subfacies. Two construction types of marginal microbial mound-bank complex have been determined based on deposition location, mound scale, migration direction, and sedimentary facies association. Type Jinkouhe microbial mound constructions(TJMMCs) develop along the windward margin owing to their proximity to the seaward subfacies fore mound, with a northeastwardly migrated microbial mound on top of the mud mound,exhibiting the characteristics of large-sized mounds and small-sized banks in the surrounding area. Type E'bian microbial mound constructions(TEMMCs) primarily occur on the leeward margin, resulting from the presence of onshore back mound subfacies, with the smaller southwestward migrated microbial mounds existing on a thicker microbial flat. The platform margin microbial mound depositional model can be correlated with certain lateral comparison profile and seismic reflection structures in the 2D seismic section, which can provide references for future worldwide exploration. Microbial mounds with larger buildups and thicker vertical reservoirs are typically targeted on the windward margin, while small-sized microbial mounds and flats with better lateral connections are typically focused on the leeward margin.

Upper and Lower Bounds of the α-Universal Triple I Method for Unified Interval Implications

Theα-universal triple I(α-UTI)method is a recognized scheme in the field of fuzzy reasoning,whichwas proposed by our research group previously.The robustness of fuzzy reasoning determines the quality of reasoning algorithms to a large extent,which is quantified by calculating the disparity between the output of fuzzy reasoning with interference and the output without interference.Therefore,in this study,the interval robustness(embodied as the interval stability)of theα-UTI method is explored in the interval-valued fuzzy environment.To begin with,the stability of theα-UTI method is explored for the case of an individual rule,and the upper and lower bounds of its results are estimated,using four kinds of unified interval implications(including the R-interval implication,the S-interval implication,the QL-interval implication and the interval t-norm implication).Through analysis,it is found that theα-UTI method exhibits good interval stability for an individual rule.Moreover,the stability of theα-UTI method is revealed in the case of multiple rules,and the upper and lower bounds of its outcomes are estimated.The results show that theα-UTI method is stable for multiple rules when four kinds of unified interval implications are used,respectively.Lastly,theα-UTI reasoning chain method is presented,which contains a chain structure with multiple layers.The corresponding solutions and their interval perturbations are investigated.It is found that theα-UTI reasoning chain method is stable in the case of chain reasoning.Two application examples in affective computing are given to verify the stability of theα-UTImethod.In summary,through theoretical proof and example verification,it is found that theα-UTImethod has good interval robustness with four kinds of unified interval implications aiming at the situations of an individual rule,multi-rule and reasoning chain.

Colorectal cancer screening:The value of early detection and modern challenges

The screening of colorectal cancer(CRC)is pivotal for both the prevention and treatment of this disease,significantly improving early-stage tumor detection rates.This advancement not only boosts survival rates and quality of life for patients but also reduces the costs associated with treatment.However,the adoption of CRC screening methods faces numerous challenges,including the technical limitations of both noninvasive and invasive methods in terms of sensitivity and specificity.Moreover,socioeconomic factors such as regional disparities,economic conditions,and varying levels of awareness affect screening uptake.The coronavirus disease 2019 pandemic further intensified these challenges,leading to reduced screening participation and increased waiting periods.Additionally,the growing prevalence of early-onset CRC necessitates innovative screening approaches.In response,research into new methodologies,including artificial intelligence-based systems,aims to improve the precision and accessibility of screening.Proactive measures by governments and health organizations to enhance CRC screening efforts are underway,including increased advocacy,improved service delivery,and international cooperation.The role of technological innovation and global health collaboration in advancing CRC screening is undeniable.Technologies such as artificial intelligence and gene sequencing are set to revolutionize CRC screening,making a significant impact on the fight against this disease.Given the rise in early-onset CRC,it is crucial for screening strategies to continually evolve,ensuring their effectiveness and applicability.

Managing uterine artery pseudoaneurysm post-hysteroscopic surgery:Clinical insights and future directions

This editorial discusses the case report by Kakinuma et al,which details a rare occurrence of uterine artery pseudoaneurysm following hysteroscopic surgery.The case highlights diagnostic challenges and management strategies for this uncommon complication.The editorial explores the implications for clinical practice,emphasizing the importance of early recognition and appropriate intervention to prevent potential severe outcomes.Future research directions to increase the understanding and management of uterine artery pseudoaneurysm in similar clinical settings.

Decoding exercise-induced atomic components and prognostic shifts in endometrial carcinoma through differentially expressed genes

Background:This study aimed to portray the atomic intelligence and prognostic implications of differentially expressed genes and their involvement in biological pathways in endometrial carcinoma,with a specific focus on the impacts of exercise on cancer.Methods:We utilized a multi-faceted approach,including volcano plots,Gene Ontology and Kyoto Encyclopedia of Genes and Genomes enrichment analyses,Venn diagrams,protein-protein interaction networks,Kaplan-Meier survival analysis,Gene Set Variety Analysis,and single-cell transcriptomic analysis.Furthermore,we profiled tumor mutational scenes,assessed the prognostic value of immune-related features,and conducted a comprehensive examination of genetic variations and their impact on tumor mutational burden across different cancer types.Multidimensional genomic interactions and methylation elements were also investigated.Using real-time quantitative PCR and immunofluorescence staining,the effects of B-cell lymphoma 2(BCL2)silencing on TNF-αand caspase-3 gene expression were evaluated.Results:Our study identified a noteworthy number of differentially expressed genes in endometrial carcinoma with potential links to athletic performance traits.BCL2 expression levels were found to be associated with survival outcomes,and its changeability across cancers was related to immune cell infiltration and immune checkpoint gene expression.Single-cell investigations uncovered cellular complexity within tumor microenvironments and critical biological pathways in BCL2-overexpressing cells.The expression flow and mutational effect of BCL2 in endometrial carcinoma were characterized,and the prognostic implications of immune-related features were assessed.Hereditary variations,including copy number variations and their relationship with gene expression and tumor mutational burden,were investigated.Multidimensional genomic transaction highlighted the essential role of regulatory genes in cancer pathogenesis.Silencing of the BCL2 gene significantly inhibited the proliferation of HEC-108 cells and promoted apoptosis,as evidenced by decreased TNF-αgene expression and increased caspase-3 gene expression.Immunofluorescence staining further confirmed these results.Conclusion:This study gives a point-by-point understanding of the atomic intelligence and prognostic implications in endometrial carcinoma and across various other cancers.BCL2’s role as a modulatory factor within the tumor-resistant environment and its potential impact on disease prognosis and response to immunotherapy were underscored.The multidimensional genomic analysis provides insights into the complex interaction between genetic and epigenetic variables in cancer,which may shed light on future therapeutic strategies.This study indicates that silencing the BCL2 gene can significantly inhibit tumor cell proliferation and promote apoptosis through the regulation of the TNF-αand caspase-3 pathways.

Exploring the connection between BRCA2 and thyroid cancer

Background:This study investigated the multifaceted role of BRCA2(breast cancer 2)in various cancer types,with a specific focus on thyroid carcinoma(THCA).Methods:Data sets were obtained from the University of California Santa Cruz database to analyze BRCA2 expression,genetic alterations,and clinical implications.Sample filtering criteria were applied,and immunohistochemistry from the Human Protein Atlas was used to validate protein expression.Correlation analyses were used to explore associations between immune-related genes,and immunological signatures were assessed using various tools.Genetic alterations in BRCA2 were analyzed using cBioPortal,and prognostic analysis involved evaluating gene expression differences at different clinical stages of THCA.Results:In patients with THCA,differences in BRCA2 expression were observed at both the mRNA and protein levels when comparing tumor and normal tissues.Correlation studies revealed associations between BRCA2 and immune-related genes,emphasizing its potential role in modulating the tumor microenvironment.Immunological signature analyses indicated distinct frequencies of tumor-infiltrating immune cell subsets in BRCA2 high versus low tumors.Moreover,genetic alterations in BRCA2,particularly the A2738S mutation in exon 18,have been identified in patients with THCA.The prognostic analysis demonstrated a significant correlation between altered BRCA2 levels and improved overall survival in patients with THCA.Additionally,BRCA2 expression was associated with prognostic factors such as stage and N.Conclusions:This study provides a holistic exploration of BRCA2 in cancer and highlights its diverse roles in expression,immune modulation,genetic alterations,and clinical prognosis.These findings underscore the potential significance of BRCA2 as a diagnostic and prognostic marker and offer valuable insights for future research and potential clinical applications in cancer management.

Mitigating Urban Heat Island Effects: A Review of Innovative Pavement Technologies and Integrated Solutions

In this review paper,we present a thorough investigation into the role of pavement technologies in advancing urban sustainability.Our analysis traverses the historical evolution of these technologies,meticulously evaluating their socio-economic and environmental impacts,with a particular emphasis on their role in mitigating the urban heat island effect.The evaluation of pavement types and variables influencing pavement performance to be used in the multi-criteria decision-making(MCDM)framework to choose the optimal pavement application are at the heart of our research.Which serves to assess a spectrum of pavement options,revealing insights into the most effective and sustainable practices.By highlighting both the existing challenges and potential innovative solutions within thefield,this paper aims to offer a directional compass for future urban planning and infrastructural advancements.This review not only synthesizes the current state of knowledge but also aims to chart a course for future exploration,emphasizing the critical need for innovative and environmentally sensitive pavement tech-nologies in the creation of resilient and sustainable urban environments.

The Demographic Problem in Greece:Consequences and Solutions

Globally,population dynamics are shifting towards increased life expectancy,and many countries,including Greece,face significant demographic challenges.Greece is particularly impacted by one of the lowest birth rates in the world and a rapidly aging population.This demographic shift places unprecedented pressure on the nation’s pension systems and economic stability,as more people retire than enter the workforce.This study aims to explore the historical factors contributing to Greece’s demographic situation,analyze the consequences of current trends,and propose strategic solutions.The research utilizes a literature review approach and the case study of Greece to understand the depth and breadth of the demographic crisis.Key areas of focus include the declining birth rate,the economic implications of an aging population,and the potential of migration and policy reform to rejuvenate demographic dynamics.The study evaluates various policy interventions from other countries to propose a tailored,multi-faceted strategy for Greece.These strategies emphasize economic incentives for young families,improved childcare and parental support,healthcare investment,and inclusive migration policies to enhance workforce numbers.This comprehensive approach seeks to provide actionable insights that can help Greece mitigate the effects of demographic decline and foster a more sustainable future,aligning policy interventions with socio-economic and cultural realities.

Discussion on the Implications of Expansion in Postgraduate Education

This paper explores the development of postgraduate education in China,including the overall situation of postgraduate education,the trend in enrollment expansion in professional degrees as well as in various academic fields;it also triggers the impact and discussion about the postgraduate enrollment expansion,such as over-education and credential inflation,as well as the concerns about the quality of education and talent cultivation and so forth.Although the expansion brings various problems,the challenges may also become new opportunities for higher education reform,this paper also provides some suggestions on the expansion of postgraduate education.

Comparison of the Development Model of DTP Pharmacy between China and the United States and Its Enlightenment

Objective To systematically analyze the development status of DTP pharmacy in the United States and China,and to find out the problems in China’s DTP pharmacy and put forward some countermeasures and suggestions.Methods Relevant literature was searched and reviewed to study the history,market scale and development trend of DTP pharmacy in the United States and China.Then,the problems in China’s DTP pharmacy were found out.Results and Conclusion DTP pharmacy model in the U.S.has taken shape and is maturing.The high degree of industry concentration is an important feature of the U.S.pharmacy.In contrast,China’s DTP pharmacy started late,and the industry pattern has not yet been finalized.There are still some problems in the DTP pharmacy certification and quality management.It is recommended to promote the rapid development of DTP pharmacies in China by encouraging the outflow of prescription drugs,establishing a third-party pharmacy accreditation organization and strengthening the team of licensed pharmacists and other personnel.

Investigating the Air Quality Parameters in Louisiana’s Industrial Corridor: A Baton Rouge Case Study

In a local context, sustainable development entails utilizing the current resources—material and immaterial, measurable and immeasurable, popular and unpopular—of the community in a manner that avoids overexploitation and ensures intergenerational equity. This approach prioritizes the safety and health of local citizens, placing communal productivity above corporate profitability. This research aims to assess air quality surrounding 28 chemical industry sites in Baton Rouge, Louisiana, to understand the environmental and health impacts of industrial pollutants, with a focus on environmental justice. Air quality pollutants, including PM2.5, PM10, O3, NO2, CO, and SO2, were monitored for 75 days during the Summer, using the BreezoMeter app. Python, Mapize, and QGIS software technologies were utilized for data analysis and visualization. Findings indicate a reduction in NO2 and CO levels, compared to existing literature. However, the persistent challenge of particulate matter suggests areas for further environmental management efforts. Additionally, the research suggests a significant disparity in air pollution exposure, probably affecting marginalized communities. Although the nature of the study might not fully capture annual pollution trends, the findings highlight the urgent need for the chemical industry to adopt efficient production methods and for policymakers to enhance air quality standards and enforcement, particularly in pollution-sensitive areas. The disproportionate impact of air pollution on vulnerable communities calls for a more inclusive approach to environmental justice, ensuring equitable distribution of clean air benefits and community involvement in pollution management decisions.

The Future of Detroit’s Music Industry:A Descriptive Study of Industry Professional Views

The purpose of the present study was to describe and provide insight on Detroit’s music industry,with the practical goal to inform the current state of music in Detroit and draw conclusive suggestions for bringing music back to a forefront of Detroit.The study drew on a sample of convenience(N=4)by researcher networking and past work in the Detroit music industry.Eight themes were identified in a content analysis of interview responses.The study revealed a deep and common vision shared among diverse industry professionals-to bring national recognition back to Detroit.Everyone wants Detroit’s music industry to make a comeback,however,they realize it is a slow process to achieve that goal.

Divide and recombine approach for warranty database: estimating the reliability of an automobile component

The continuously updated database of failures and censored data of numerous products has become large, and on some covariates, information regarding the failure times is missing in the database. As the dataset is large and has missing information, the analysis tasks become complicated and a long time is required to execute the programming codes. In such situations, the divide and recombine (D&R) approach, which has a practical computational performance for big data analysis, can be applied. In this study, the D&R approach was applied to analyze the real field data of an automobile component with incomplete information on covariates using the Weibull regression model. Model parameters were estimated using the expectation maximization algorithm. The results of the data analysis and simulation demonstrated that the D&R approach is applicable for analyzing such datasets. Further, the percentiles and reliability functions of the distribution under different covariate conditions were estimated to evaluate the component performance of these covariates. The findings of this study have managerial implications regarding design decisions, safety, and reliability of automobile components.