A survey of the classification of fuzzy subgroups of some finite groups

In this lecture we survey the classification of fuzzy subgroups of finite groups as studied byProf. B.B Makamba and V. Murali. We present the impact of the research on our postgraduate students. The classification is focusing on finite abelian p-groups and dihedral groups, giving a mixture of abelian and non-abelian groups. We show some highlights and what still needs to be done in the classification of fuzzy subgroups. We also touch on what other researchers have achieved in the classification of fuzzy subgroups and how our work is related to theirs. We begin with a historical background of fuzzy logic.Inaugural Lecture Address by Prof. Babington Makamba- A survey of the classification of fuzzy subgroups of some finite groups

The Impact of Promotion on Merit and Education Level Bases to Performance of the Tanzania Police Force

The main purpose of this study was to determine the Impact of Promotion on Merit and Education Level bases to performance of the Tanzania Police Force. The objectives involved to determine whether promotion on merit and education level bases satisfies the employee’s desire of being recognized, valued and assigned duties which they perform best; motivates employees to offer their loyalty to the force; helps the force to retain the skilled workforce; if it motivates other employees to study to high education levels, and exploring possible challenges related to promotion on merit and education level bases and ways of addressing them. The study employed mainly qualitative approach using the case study design. A total of 65 participants were involved in the study including 40 rank and file soldiers, soldiers studying in high education institutions, 20 soldiers of inspectorate rank and 5 senior Police officers who were selected through stratified random sampling and purposive sampling. Data were sought through interviews, documentary review and observation; and were analyzed mainly through content analysis. The findings of the study indicated that promoting soldiers on merit and education level bases has a positive impact on the forces’ performance; it satisfies soldiers’ desire of being recognized and valued; it builds soldiers’ loyalty to the force; it enables the force to retain its skilled workforce; it motivates other soldiers to acquire high education and it faces a number of challenges. In the light of the finding the study recommends that the force has to continue using these qualifications for promotion since it encourages soldiers to improve their performance and hence an efficient and effective police organization. And it has to work on the challenges identified using the suggested ways to make the practice fair and acceptable by soldiers

"I will not stop visiting!" a qualitative study of community health workers' reluctance to withdraw household support following the end of a community-based intervention in Zimbabwe.

BACKGROUND: Community Health Worker (CHW) programmes are increasingly important in HIV service delivery. CHWs' familiarity with the local context can improve intervention acceptability and sustainability but concerns have been raised about potential exploitation and "burnout" of CHWs as they become emotionally involved in clients' lives. Little attention has been paid to what happens at the end of time-limited CHW interventions. This study aimed to examine the experience of CHWs' withdrawal from clients and their families. METHODS: We conducted a qualitative study of CHWs' experiences of "exiting" from households during the ZENITH (Zimbabwe Study for Enhancing Testing and Improving Treatment of HIV in Children) intervention, which provided 12 structured home visits over 72 weeks to families with children recently diagnosed with HIV. We conducted semi-structured interviews at 12 and 18 months with all 19 CHWs delivering the intervention and 36 purposively selected caregivers who received home visits. Analysis focused on perceptions of the end of the trial, when CHWs completed the scheduled home-based visits and there was no guarantee of programme continuation beyond the study. RESULTS: Termination of scheduled home visits caused significant distress to both CHWs and the households they visited. We identify 3 thematic "lessons learned" for CHW programmes. First, CHWs derived pride and self-worth from emotional labour as they became integral to families' improved ability to cope, motivating them to go beyond formal job requirements. Second, clients' growing dependence on CHWs led to "exit" being interpreted as abandonment by both CHWs and households, causing distress on both sides. Finally, in response to anxiety about "abandoning" families, CHWs maintained contact with families long after scheduled withdrawal of services. CONCLUSIONS: CHWs can forge genuine bonds with households, creating expectations of long-term engagement. On the positive side, CHW derive pride from their work, attach social responsibility to their roles, and feel personal fulfilment in supporting families. If CHWs do not disengage from interventions as planned, or become demoralised by "exits", interventions will prove less sustainable. CHWs are often lauded for their ability to develop trust with peers, yet this willingness and ability to create enduring emotional bonds could threaten programme delivery

Studies in fuzzy groups

In this thesis we first extend the notion of fuzzy normality to the notion of normality of a fuzzy subgroup in another fuzzy group. This leads to the study of normal series of fuzzy subgroups, and this study includes solvable and nilpotent fuzzy groups, and the fuzzy version of the Jordan-Hõlder Theorem. Furthermore we use the notion of normality to study products and direct products of fuzzy subgroups. We present a notion of fuzzy isomorphism which enables us to state and prove the three well-known isomorphism theorems and the fact that the internal direct product of two normal fuzzy subgroups is isomorphic to the external direct product of the same fuzzy subgroups. A brief discussion on fuzzy subgroups generated by fuzzy subsets is also presented, and this leads to the fuzzy version of the Basis Theorem. Finally, the notion of direct product enables us to study decomposable and indecomposable fuzzy subgroups, and this study includes the fuzzy version of the Remak-Krull-Schmidt Theorem

Integrating legacy applications into service oriented architecture middleware

Information and Communication Technology (ICT) is a dynamic approach that is widely recognized as an innovative and powerful tool for socio-economic development, it is a key catalyst for the emergence of knowledge economy. ICT have been used to develop applications, promote transparency and efficiency in multiple services such e-Learning, e-Government, e-Health and e-Judiciary especially for Marginalized Rural Areas (MRAs). The ICT approach is designed to bridge the digital divide. This approach has been widely deployed in many programs and it has led to the development of a new field which is Information and Communication Technology for Development (ICT4D). Within the context of ICT4D there are arrays of e-services that have been deployed to improve the impoverished communities. Some of these applications have failed to bring the changes that were designed to bring in the community due to the use of old architectures. There is therefore a need to develop a system that will integrate legacy applications into contemporary architectures. To solve the problem of the legacy applications we have developed TeleWeaver Service Oriented Architecture (SOA) middleware into which we integrate an e-Commerce and e-Learning applications into SOA middleware. For this integration system there are specific technologies that were used to integrate legacy applications into SOA middleware: RESTful web services using the slim API, SOAP via Nu-SOAP technologies were used to integrate these legacy applications. Specific methodologies were used to achieve the objectives of this research. The literature review, brainstorming, interviews and development of the system are some of the methods that were used to achieve the objectives of this study. The research methodology is mainly through experiments and to study TeleWeaver SOA middleware architecture. Interviews were conducted to analyze and understand the community needs, since the application discussed in this thesis is tested and implemented for a rural community. The community is called Dwesa, and falls under the ICT project within the Siyakhula Living Lab (SLL). A basic prototyping and Unified Modeling Language (UML) was created to design the system. This thesis presents the design and implementation of a system that integrates legacy applications into an SOA middleware that brings flexibility and effectiveness to these ICT e-services. The research focuses on integrating legacy applications into Service Oriented Architecture (SOA) middleware. It seeks to bring flexibility to e-services that are developed for MRAs. The use of SOA architecture that supports re-usability and interoperability of application provides effectiveness to the e-services. The novelty of the system is in its flexibility, usability and sustainability. SOA is an approach that provides a separation between the interface of the service and its underlying implementation. One of the achievements of the integration project is its ability to connect to SOA middleware. This increases the effectiveness of these e-services. The usability and performance evaluations are conducted to test and evaluate the system within the SLL on the TeleWeaver platform.Thesis (MSc) -- Faculty of Science and Agriculture, 201

"It is not possible to go inside and have a discussion": how fear of stigma affects delivery of community-based support for children's HIV care.

Caregivers mediate children's access to HIV care and their adherence to treatment. Support for caregivers may improve health outcomes in children, but fear of HIV stigma and discrimination can affect both uptake and delivery of support services. Within a trial evaluating community-based support for caregivers of newly HIV diagnosed children in Harare, Zimbabwe, we conducted a longitudinal qualitative study to explore how stigma affected delivery and acceptance of the intervention. We conducted semi-structured interviews with 36 caregivers, 15 children, and 20 community health workers (CHWs). Children and caregivers described experiencing or witnessing stigma and discrimination, causing some to resist home visits by CHWs. Anxiety around stigma made it difficult for CHWs to promote key messages. In response, CHWs adapted the intervention by meeting caregivers outside the home, pretending to be friends or relatives, and proactively counteracting stigmatising beliefs. As members of local communities, some CHWs shared concerns about discrimination. HIV stigma can hinder "getting a foot over the threshold" in community-based programmes, particularly for households most affected by discrimination and thus least likely to engage with services. For community support programmes to be effective, stigma-related resistance should be addressed from the outset, including CHWs' own concerns regarding HIV stigma

The role of community health workers in improving HIV treatment outcomes in children: lessons learned from the ZENITH trial in Zimbabwe.

Reliance on community health workers (CHWs) for HIV care continues to increase, particularly in resource-limited settings. CHWs can improve HIV service use and adherence to treatment, but effectiveness of these programmes relies on providing an enabling work environment for CHWs, including reasonable workload, supportive supervision and adequate training and supplies. Although criteria for effective CHW programmes have been identified, these have rarely been prospectively applied to design and evaluation of new interventions. For the Zimbabwe study for Enhancing Testing and Improving Treatment of HIV in Children (ZENITH) randomized controlled trial, we based our intervention on an existing evidence-based framework for successful CHW programmes. To assess CHWs' experiences delivering the intervention, we conducted longitudinal, qualitative semi-structured interviews with all 19 CHWs at three times during implementation. The study aimed to explore CHWs' perceptions of how the intervention's structure and management affected their performance, and consider implications for the programme's future scale-up and adoption in other settings. CHWs expressed strong motivation, commitment and job satisfaction. They considered the intervention acceptable and feasible to deliver, and levels of satisfaction rose over interview rounds. Intensive supervision and mentoring emerged as critical to ensuring CHWs' long-term satisfaction. Provision of job aids, standardized manuals and refresher training were also important, as were formalized links between clinics and CHWs. Concerns raised by CHWs included poor remuneration, their reluctance to stop providing support to individual families following the requisite number of home visits, and disappointment at the lack of programme sustainability following completion of the trial. Furthermore, intensive supervision and integration with clinical services may be difficult to replicate outside a trial setting. This study shows that existing criteria for designing successful CHW programmes are useful for maximizing effectiveness, but challenges remain for ensuring long-term sustainability of 'task shifting' strategies

Burden of HIV among primary school children and feasibility of primary school-linked HIV testing in Harare, Zimbabwe: a mixed methods study.

Population-based surveys in Southern Africa suggest a substantial burden of undiagnosed HIV-infected long-term survivors of mother-to-child transmission. We conducted an HIV prevalence survey of primary school pupils in Harare, Zimbabwe, and evaluated school-linked HIV counselling and testing (HCT) for pupils, their families and schoolteachers. Population-weighted cluster sampling was used to select six primary schools. Randomly selected class-grade pupils underwent anonymous HIV testing, with concurrent school-linked family HCT offered during the survey. Focus group discussions and interviews were conducted with pupils, parents/guardians, counsellors, and schoolteachers. About 4386 (73%) pupils provided specimens for anonymous HIV testing. Median age was 9 years (IQR 8-11), and 54% were female. HIV prevalence was 2.7% (95% CI: 2.2-3.1) with no difference by gender. HIV infection was significantly associated with orphanhood, stunting, wasting, and being one or more class grades behind in school due to illness (p<0.001). After adjusting for covariates, orphanhood and stunting remained significantly associated with being HIV positive (p<0.001). Uptake of diagnostic HIV testing by pupils was low with only 47/4386 (1%) pupils undergoing HCT. The HIV prevalence among children under 15 years who underwent HIV testing was 6.8%. The main barrier to HIV testing was parents' fear of their children experiencing stigma and of unmasking their own HIV status should the child test HIV positive. Most guardians believed that a child's HIV-positive result should not be disclosed and the child could take HIV treatment without knowing the reason. Increased recognition of the high burden of undiagnosed HIV infection in children is needed. Despite awareness of the benefits of HIV testing, HIV-related stigma still dominates parents/guardians' psychological landscape. There is need for comprehensive information and support for families to engage with HIV testing services

Polyelectrolyte-Clay-Protein Layer Films on Microfluidic PDMS Bioreactor Surfaces for Primary Murine Bone Marrow Culture

Poly(dimethylsiloxane) (PDMS) microbioreactors with computerized perfusion controls would be useful for engineering the bone marrow microenvironment. However, previous efforts to grow primary bone marrow cells on PDMS substrates have not been successful due to the weak attachment of cells to the PDMS surface even with adsorption of cell adhesive proteins such as collagen or fibronectin. In this work, modification of the surface of PDMS with biofunctional multilayer coatings is shown to promote marrow cell attachment and spreading. An automated microfluidic perfusion system is used to create multiple types of polyelectrolyte nanoscale coatings simultaneously in multiple channels based on layer-by-layer deposition of PDDA (poly(diallyldimethyl ammonium chloride)), clay, type IV collagen and fibronectin. Adherent primary bone marrow cells attached and spread best on a surface with composition of (PDDA/clay) 5 (Collagen/Fibronectin) 2 with negatively charged fibronectin exposed on the top, remaining well spread and proliferating for at least two weeks. Compared to traditional more macroscopic layer-by-layer methods, this microfluidic nanocomposite process has advantages of greater flow control, automatic processing, multiplexed fabrication, and use of lesser amounts of polymers and protein solutions.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/57408/1/2701_ftp.pd

Preferences for oral-fluid-based or blood-based HIV self-testing and provider-delivered testing: an observational study among different populations in Zimbabwe

Background There is limited data on client preferences for different HIV self-testing (HIVST) and provider-delivered testing options and associated factors. We explored client preferences for oral-fluid-based self-testing (OFBST), bloodbased self-testing (BBST) and provider-delivered blood-based testing (PDBBT) among different populations. Methods At clinics providing HIV testing services to general populations (1 urban, 1 rural clinic), men seeking voluntary medical male circumcision (VMMC, 1 clinic), and female sex workers (FSW, 1 clinic), clients had the option to test using OFBST, BBST or PDBBT. A pre-test questionnaire collected information on demographics and testing history. Two weeks after collecting a self-test kit, participants responded to a questionnaire. We used logistic regression to determine predictors of choices. We also conducted 20 in-depth interviews to contextualise quantitative findings. Results May to June 2019, we recruited 1244 participants of whom 249 (20%), 251 (20%), 244 (20%) and 500 (40%) were attending urban general, rural, VMMC and FSW clinics, respectively. Half (n = 619, 50%) chose OFBST, 440 (35%) and 185 (15%) chose BBST and PDBBT, respectively. In multivariable analysis comparing those choosing HIVST (OFBST and BBST combined) versus not, those who had never married aOR 0.57 (95% CI 0.34–0.93) and those previously married aOR0.56 (0.34–0.93) were less likely versus married participants to choose HIVST. HIVST preference increased with education, aOR 2.00 (1.28–3.13), 2.55 (1.28–5.07), 2.76 (1.48–5.14) for ordinary, advanced and tertiary education, respectively versus none/primary education. HIVST preference decreased with age aOR 0.97 (0.96–0.99). Urban participants were more likely than rural ones to choose HIVST, aOR 9.77 (5.47–17.41), 3.38 (2.03–5.62) and 2.23 (1.38–3.61) for FSW, urban general and VMMC clients, respectively. Comparing those choosing OFBST with those choosing BBST, less literate participants were less likely to choose oral fluid tests, aOR 0.29 (0.09–0.92). Conclusions Most testing clients opted for OFBST, followed by BBST and lastly, PDBBT. Those who self-assessed as less healthy were more likely to opt for PDBBT which likely facilitated linkage. Results show importance of continued provision of all strategies in order to meet needs of different populations, and may be useful to inform both HIVST kit stock projections and tailoring of HIVST programs to meet the needs of different populations