On fuzzy ideals and fuzzy filters of fuzzy lattices

In the literature there are several proposals of fuzzi cation of lattices and ideals concepts. Chon in (Korean J. Math 17 (2009), No. 4, 361-374), using the notion of fuzzy order relation de ned by Zadeh, introduced a new notion of fuzzy lattice and studied the level sets of fuzzy lattices, but did not de ne a notion of fuzzy ideals for this type of fuzzy lattice. In this thesis, using the fuzzy lattices de ned by Chon, we de ne fuzzy homomorphism between fuzzy lattices, the operations of product, collapsed sum, lifting, opposite, interval and intuitionistic on bounded fuzzy lattices. They are conceived as extensions of their analogous operations on the classical theory by using this de nition of fuzzy lattices and introduce new results from these operators. In addition, we de ne ideals and lters of fuzzy lattices and concepts in the same way as in their characterization in terms of level and support sets. One of the results found here is the connection among ideals, supports and level sets. The reader will also nd the de nition of some kinds of ideals and lters as well as some results with respect to the intersection among their families. Moreover, we introduce a new notion of fuzzy ideals and fuzzy lters for fuzzy lattices de ned by Chon. We de ne types of fuzzy ideals and fuzzy lters that generalize usual types of ideals and lters of lattices, such as principal ideals, proper ideals, prime ideals and maximal ideals. The main idea is verifying that analogous properties in the classical theory on lattices are maintained in this new theory of fuzzy ideals. We also de ne, a fuzzy homomorphism h from fuzzy lattices L and M and prove some results involving fuzzy homomorphism and fuzzy ideals as if h is a fuzzy monomorphism and the fuzzy image of a fuzzy set ~h(I) is a fuzzy ideal, then I is a fuzzy ideal. Similarly, we prove for proper, prime and maximal fuzzy ideals. Finally, we prove that h is a fuzzy homomorphism from fuzzy lattices L into M if the inverse image of all principal fuzzy ideals of M is a fuzzy ideal of L. Lastly, we introduce the notion of -ideals and - lters of fuzzy lattices and characterize it by using its support and its level set. Moreover, we prove some similar properties in the classical theory of - ideals and - lters, such as, the class of -ideals and - lters are closed under intersection. We also de ne fuzzy -ideals of fuzzy lattices, some properties analogous to the classical theory are also proved and characterize a fuzzy -ideal on operation of product between bounded fuzzy lattices L and M and prove some results.

Ideal Mariano e docência: a identidade feminina da Proposta Educativa Marista

In the teaching history course it s found the female teacher entering, reflecting significantly in the continuous process of her identity redefinitions and reconstruction. This entering brings, even in a silent and not explicit way, the confluence of gender identity to professional identity, in which are present the relations of the proper to female. In the mastership case, these relations are found imbricated in the teaching identity construction and in the translation of this profession as female, based in Virgin Mary, through Mariano ideal diffused by the catholic church. Therefore there is a lanck in educational historiography towards the register of female teachers presence, mainly in male religious institute, the reason of this study, in which we seek to investigate: how to explain that a female identity can give support to a highly male educational project? What relations can we establish between this female identity and the entering of female teachers in Maristas Province Schools of North Brazil? We performed a bibliographic research in Maristas Schools Libraries, of Marista historial, in Recife, of Pontificia Universidade Católica do Paraná (Catholic University), in Curitiba-PR. We searched for support in studies about pedagogy history, of Marista Institute, Catholic Church, Brasilian Education and of Women; Mariologic studies, the referring to Marista Educational Proposal, to feminization and to teaching identity; and feminist theology productions. The empirical research included 10 schools from referred province and Marista Schools from Lisbon Portugal. Through semi-estructured interviews, we interviewed pioneer female teachers, Marista former Brothers and Brothers from those schools, due to their presence and action within the study period and for the concern to save their memories about the theme. The study reveals the particularities of Mariano ideal as female model and teaching, and her presence in Marista Educational Proposal. This study, in a historical approach, aims to contribute to give visibility to the woman in history and teaching construction in Brazil, mainly in religious institutions from male origin

Compreensão do típico ideal de técnicos de enfermagem acerca da sistematização da assistência de enfermagem

This study aimed to understand the typical ideal of the nursing technician about the systematization of nursing care in the light of the theoretical framework of Alfred Schutz. It is a comprehensive phenomenological research, using the theoretical framework of Alfred Schutz. For the unveiling of the phenomenon (the typical ideal of the nursing technician about the systematization of nursing care), the search process was configured from the proposed guiding principles for a research methodology based on the work itself of Schutz held by Zeferino (2010) in his PhD. For data collection, we used the focus group technique, counting on the collaboration of thirteen practical nurses working in a university hospital in Rio Grande do Norte, who responded positively to the inclusion criteria: working in the study hospital, performing care direct to patients. Forty-four subjects showed interest in participating, being held a draw for selection of the research sample, consisting of 14 professionals, one of whom did not attend the gathering of data collection. The focus group, entitled "What I think about the systematization of nursing care", took place on February 15th, 2013, totaling 101 minutes. It was performed according to the Experiential Education Humanescent using building posters as projective technique, from the key question: "What is the systematization of nursing care for you?". In order to understand some of the biographical situation of the participants, a questionnaire was administered to study participants. From the agreement of the subjects, the focus group was recorded and photographed with the cooperation of one reporter and two other employees. We used Microsoft Word 2010 to perform the transcript of the meeting and Microsoft Excel 2010 for synthesizing the results via a spreadsheet. The study followed the ethical and legal principles that govern scientific research on humans, recommended in Resolution nº 196/96, it was approved by Opinion Embodied Ethics Committee in Research of UFRN (Federal University of Rio Grande do Norte), nº 98 424, of August 31th, 2012, CAAE No. 05906912.0.0000.5537. The analysis of the nursing staff speeches, along with the contemplation of their posters and their written descriptions, allowed from the guiding principles of Zeferino (2010), in light of the reference of Alfred Schutz, unveiling the typical ideal of nursing technicians about the systematization of nursing care, passing four themes: typing of the concept of systematization of nursing care; benefits, which resulted in the reasons to believe in the positivity of this working tool; experienced problems, revealing the world of everyday life of nursing professionals, and possibilities for improvement. It was concluded that the nursing technicians are unaware of the systematization of nursing care. However, they typify a very positive perception about the same, especially with regard to improvements that may foster care