Computing the numerical scale of the linguistic term set for the 2-tuple fuzzy linguistic representation model

When using linguistic approaches to solve decision problems, we need the techniques for computing with words (CW). Together with the 2-tuple fuzzy linguistic representation models (i.e., the Herrera and Mart´ınez model and the Wang and Hao model), some computational techniques for CW are also developed. In this paper, we define the concept of numerical scale and extend the 2-tuple fuzzy linguistic representation models under the numerical scale.We find that the key of computational techniques
based on linguistic 2-tuples is to set suitable numerical scale with
the purpose of making transformations between linguistic 2-tuples
and numerical values. By defining the concept of the transitive
calibration matrix and its consistent index, this paper develops an optimization model to compute the numerical scale of the linguistic term set. The desired properties of the optimization model are also presented. Furthermore, we discuss how to construct the transitive calibration matrix for decision problems using linguistic preference relations and analyze the linkage between the consistent index of the transitive calibration matrix and one of the linguistic preference relations. The results in this paper are pretty helpful to complete the fuzzy 2-tuple representation models for CW.

The exact distribution of the maximum, minimum and the range of multinomial/dirichlet and multivariate hypergeometric frequencies

The exact distribution of the maximum and minimum frequencies of Multinomial/Dirichlet and Multivariate Hypergeometric distributions of n balls in m urns is compactly represented as a product of stochastic matrices. This representation does not require equal urn probabilities, is invariant to urn order, and permits rapid calculation of exact probabilities. The exact distribution of the range is also obtained. These algorithms satisfy a long-standing need for routines to compute exact Multinomial/Dirichlet and Multivariate Hypergeometric maximum, minimum, and range probabilities in statistical computation libraries and software packages.

Law-and-order politics, public-opinion polls, and the media

Over the past two decades, considerable political rhetoric has focused on the need to get tough on crime. Justification for this hard-line approach has been the public's apparent concem about rising crime rates and its increasing dissatisfaction with criminal sentencing. In this paper, we consider characteristics both of the measurement of public opinion and of the influences upon public opinion that may contribute to the depiction of a fearful, punitive community. In particular, we identify sources of bias in the methods and contexts of opinion-polling that promote a distorted representation of the discrepancy between community expectations of sentencing and the practices of the judiciary. We argue that the practices of pollsters, politicians, and media combine to create a self-sustaining obstacle to considered community discussion of crime and criminal sentencing.

The effects of cultural values in word-of-mouth communication

When new products and brands are introduced into other cultures, the speed and extent of the product's acceptance are important concerns for marketers. The spread of positive word of mouth (WOM) and the lack of negative WOM about the product or brand by early adopter groups are critical to the product's successful diffusion in a population. This is the first study to investigate the effects of consumers' cultural values on their WOM behavior. Data analysis from two samples indicates that the pattern, type, and target receivers of consumers' WOM activity depend on their cultural values. The authors use Hofstede's four cultural dimensions to test the effects of cultural values on WOM behavior to social in- and out-groups. They find that all four dimensions have significant effects on WOM engagement to those groups. Although the authors could not determine the causal nature of the relationships because of the sample design used, they argue that marketers should monitor the cultural values of their market to anticipate in- and out-group discussions and the choice of appropriate brand communication strategies in other countries.

Representation of female offender types within the pathways model of assault

Research into the heterogeneity of female violent offending is sparse, even though females constitute a growing part of the prisoner population. There is evidence that the majority of female violent offenders display over-controlled traits related to uncharacteristic offending. This hypothesis was explored through a multivariate model, the Pathways Model of Assault, with interview data from 17 female assault offenders. Five different offence types were displayed, reflecting the same offence styles as male offenders. However, only two participants displayed an over-controlled offence type. Qualitative differences within the data suggested that offender rehabilitation should be tailored specifically for different gender needs in addition to the needs suggested by the different offence types.

A method for the visual representation of historic multivariate point data

The visual representation of multivariate spatial and temporal data is important for interpreting and analyzing historical geographic patterns that change over time. The introduction of geospatial technologies in historical scholarship has challenged the suitability of current visual representations due to the need for greater temporal emphasis and the tracking of historical events over time. This research presents a holistic multivariate approach to historical visual representation for point based historical data. The method has been developed through extending the spatial presence in information graphics and through meaningful spatial classification. This paper demonstrates the benefits gained from integrating historical, geographic, temporal, and attribute data through the development of a case study on the history of Melbourne’s cinema venues between 1946 and 1986.

Closed vs open corporate social networking communities : a case study of the Victoria Police and Dairy Australia.

The availability of affordable, user-friendly audio-visual equipment, software and the Internet, allows anyone to become a content creator or media outlet. This exploratory case study examines the adoption of social networking by Victoria Police and Diary Australia, a non-media and non-profit organization respectively, in corporate communication, public infmmation and community relations. The paper initiates discussions on the implications for traditional media and audiences of this phenomenon. It content analyzed the two websites during a two-week period and conducted interviews with their moderators about the sites' content, functions and efficacy. The purpose, role and community acceptance of these sites are examined, along with organizational motivations for establishing these channels to reach audiences, bypassing traditional media's gatekeeping function. It highlights how these organizations may set both media and public agendas when traditional media use this web content in their news gathering and reporting, similar to using press releases in the past.

Raising the volume : Indigenous voices in news media and policy

This article explores Indigenous contributions to shaping public and policy agendas through their use of the news media. It reports on research conducted for the Australian News Media and Indigenous Policy-making 1988–2008 project that is investigating relationships between the representation of Indigenous peoples in public media and the development of Indigenous affairs policies. Interviews with Indigenous policy advocates, journalists and public servants identified the strategies that have been used by individuals and Indigenous organisations to penetrate policy debates and influence public policy. The article concludes that in the face of a neo-liberal policy agenda amplified through mainstream media, particular Indigenous voices nevertheless have had a significant impact, keeping alive debate about issues such as the importance of bilingual education programs and community involvement in the delivery of primary health care.

Spectroscopic study of the effects of pressure media on high-pressure phase transitions in natrolite

Structural phase transitions in natrolite have been investigated as a function of pressure and different hydrostatic media using micro-Raman scattering and synchrotron infrared (IR) spectroscopy. Natrolite undergoes two reversible phase transitions at 0.86 and 1.53 GPa under pure water pressure medium. These phase transitions are characterized by the changes in the vibrational frequencies of four- and eight-membered rings related to the variations in the bridging T−O−T angles and the geometry of the elliptical eight-ring channels under pressure. Concomitant to the changes in the framework vibrational modes, the number of the O−H stretching vibrational modes of natrolite changes as a result of the rearrangements of the hydrogen bonds in the channels caused by a successive increase in the hydration level under hydrostatic pressure. Similar phase transitions were also observed at relatively higher pressures (1.13 and 1.59 GPa) under alcohol−water pressure medium. Furthermore, no phase transition was found up to 2.52 GPa if a lower volume ratio of the alcohol−water to natrolite was employed. This indicates that the water content in the pressure media plays a crucial role in triggering the pressure-induced phase transitions in natrolite. In addition, the average of the mode Grüneisen parameters is calculated to be about 0.6, while the thermodynamic Grüneisen parameter is found to be 1.33. This might be attributed to the contrast in the rigidity between the TO4 tetrahedral primary building units and other flexible secondary building units in the natrolite framework upon compression and subsequent water insertion.