Generalized Rough Sets (Preclusivity Fuzzy-Intuitionistic (BZ) Lattices)

The standard Pawlak approach to rough set theory, as an approximation space consisting of a universe U and an equivalence (indiscernibility) relation R U x U, can be equivalently described by the induced preclusivity ("discernibility") relation U x U \ R, which is irreflexive and symmetric.We generalize the notion of approximation space as a pair consisting of a universe U and a discernibility or preclusivity (irreflexive and symmetric) relation, not necessarily induced from an equivalence relation. In this case the "elementary" sets are not mutually disjoint, but all the theory of generalized rough sets can be developed in analogy with the standard Pawlak approach. On the power set of the universe, the algebraic structure of the quasi fuzzy-intuitionistic "classical" (BZ) lattice is introduced and the sets of all "closed" and of all "open" definable sets with the associated complete (in general nondistributive) ortholattice structures are singled out.The rough approximation of any fixed subset of the universe is the pair consisting of the best "open" approximation from the bottom and the best "closed" approximation from the top. The properties of this generalized rough approximation mapping are studied in the context of quasi-BZ lattice structures of "closed-open" ordered pairs (the "algebraic logic" of generalized rough set theory), comparing the results with the standard Pawlak approach. A particular weak form of rough representation is also studied.     

Mood regulation expectancies, affect intensity, dispositional coping, and depressive symptoms: A conceptual analysis and empirical reanalysis

In a recent article, Flett, Blankstein and Obertinsky (1996, Personality and Individual Differences, 20, 221–228) examined cross-sectional relations between affect intensity, generalized expectancies for negative mood regulation (NMR expectancies), coping dispositions, and depression in a sample of 153 women. However, they did not report partial correlations of affect intensity and NMR expectancies, independent of each other, with coping and depression. Such information is needed for development of models of the coping process which integrate the roles of temperament variables, such as affect intensity, and cognitive-social learning person variables, such as NMR expectancies. Reanalysis of Flett etal.'s correlation matrix revealed that affect intensity and NMR expectancies were each independently associated with distinct coping dispositions, but that only NMR expectancies were independently associated with depressive symptoms.     

Between Intrinsic and Extrinsic Motivation: Examination of Reasons for Academic Study based on the Theory of Internalization

In contrast with the view that intrinsic and extrinsic motivation are antagonistic, the view proposed in this article is that they are anchors of a continuous variable. According to the theory set out here, intrinsic motivation develops by means of internalization. This gives rise to four types of motivation: external, introjected, identified, and intrinsic. The main purpose of this study was to construct a scale to measure these four types of motivation for academic achievement and then to examine its validity. The Stepping Motivation Scale, created by the author, was administered to 483 junior high school students. Intercorrelations among the four subscales conformed to a simplex structure, and documented a continuum from extrinsic to intrinsic motivation. To clarify the distinction among the four types of motivation, relevant variables such as causal attributions and coping behaviors in failing situations, beliefs in links between extrinsic and intrinsic motivation, and teachers' evaluation of students' motivation were related to motivation types. A difference in motivational types was exhibited in the differential patterns of correlations.     

ACADEMIC EFFECTS OF PROVIDING PEER SUPPORT IN GENERAL EDUCATION CLASSROOMS ON STUDENTS WITHOUT DISABILITIES

We studied the academic effects on peers without disabilities of serving as peer supports for students with disabilities in general education classrooms. Three peers were studied using a range of indicators, including academic engagement, coursework performance, and social validity assessments. Peers assisting a student with disabilities via curricular adaptation, assignment completion, and social facilitation constituted the multicomponent independent variable. We used withdrawal or multiple baseline designs to demonstrate positive benefits for peers for all measures used. In addition, follow-up data for 2 peers indicated that the positive changes associated with serving as a peer support were maintained for up to 2 months. Our results are discussed in relation to the possible academic and social effects of providing peer supports in general education classrooms for students with and without disabilities.     

Nodality effects during equivalence class formation: An extension to sight-word reading and concept development

Three students with moderate disabilities were taught to read and match-to-sample sight words comprising stimulus sets based upon the four food groups. We taught students conditional discriminations within four four-member sets using a single-sample/four-comparison procedure. Students were taught A-B, B-C, and C-D conditional discriminations for each of the four potential stimulus classes. Subsequent probes tested for relations based upon symmetry and one-node and two-node transitivity. The performances for all students indicated that symmetric relations emerged before one-node transitive relations, and that one-node transitive relations emerged before two-node transitive relations. These results are consistent with a pattern of responding, referred to as a "nodality effect," in which relations with fewer nodes are demonstrated prior to the demonstration of relations with a greater number of nodes. These results extend this area of research to sight-word reading for students with moderate disabilities.     

Preventing antisocial behavior in the schools

Multiple correlates and determinants of antisocial behavior within the home, community, and school are reviewed. Due to the school's pivotal role in our society, an emphasis is placed on how our schools contribute to antisocial behavior, and what educators can do to prevent anti-social behavior and related attendance problems. A variety of contextual factors and setting events within our schools appear to be major contributors to antisocial behavior, and some of the same factors identified within the schools also have been identified within the home. These setting events, rather than quick restrictive fixes, must be given more attention if we are to provide safe school environments-environments that durably prevent antisocial behavior and related attendance problems.     

Comparing interspersed requests and social comments as antecedents for increasing student compliance

Two students were alternately presented with interspersed high-compliance requests and social comments as antecedents to low-compliance requests. An initial comparison demonstrated similar positive effects on compliance for interspersed requests and social comments. A second analysis indicated that the effectiveness of social comments for increasing compliance was related to the time interval between social comments and low-compliance requests.     

An advocacy intervention program for women with abusive partners: Six-month follow-up

Presented the 6-month follow-up findings of an experimental intervention designed to provide postshelter advocacy services to women with abusive partners. The intervention involved randomly assigning half the research participants to receive the free services of an advocate, 4 to 6 hours per week, for the first 10 weeks postshelter. One hundred forty-one battered women were interviewed about their experiences immediately upon their exit from a domestic violence shelter: 95% of the sample were interviewed 10 weeks thereafter (postintervention), and 93% were successfully tracked and interviewed 6 months later. At the 6-month follow-up, participants in both groups reported increased social support, increased quality of life, less depression, less emotional attachment to their assailants, and an increased sense of personal power. Although women in both groups reported some decrease in physical abuse over time, there were no statistically significant differences between those with and those without advocates, and abuse continued to be a problem for many women. Those who were still involved with their assailants continued to experience higher levels of abuse and had been more economically dependent upon the men prior to entering the shelter. Women who had worked with advocates continued to report being more satisfied with their overall quality of life than did the women in the control group. The authors thank the Editor and anonymous reviewers for their helpful comments. Thanks also to all present and past staff of the Community Advocacy Project, who helped in data collection and analyses. This work was supported by National Institute of Mental Health Grant 1R01 MH 44849.