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In traditional methods, a one-directional distance transformation is employed to eliminate the near-singularity in the radial direction. However, when the projection point of the source point is near the boundary of the integral element, the near-singularity in the circumferential direction still exists, resulting in large errors in the numerical results. The purpose of this paper is to propose a bi-directional distance transformation for the elimination of near-singularities in two directions arising from the irregular integral element.

The sources of the circumferential near-singularity caused by irregular sub-triangular element are analyzed in this paper. A bi-directional distance transformation based on the (a, β) transformation is proposed to eliminate the near-singularities in the two directions. The (a, β) transformation is initially introduced to separate the integral variables and streamline the implementation of subsequent transformations. In the transformed (a, β) coordinate system, a new distance transformation applied in the circumferential direction is constructed.

With the proposed method, the radial and circumferential near-singularities are eliminated using two different distance transformations, respectively. Thus, accurate calculations of the nearly singular integrals can be achieved, irrespective of the shape of the integral element.

Numerical examples are presented to calculate the nearly singular integrals of different orders over both the linear integral element and the quadratic integral element. Comparative studies demonstrate that the proposed method significantly improves the accuracy of these calculations.

The primary purpose of this study is to analyze the effects of customer incivility on employees' negative emotions (i.e. anger, fear and sadness) considering the moderating role of organizational power distance.

A survey sample comprising 312 service employees was collected from 51 Taiwanese and Vietnamese companies spanning different industries. Given the multilevel characteristics of the data structure, hierarchical linear modeling was used to rigorously test the proposed hypotheses.

The results indicate a significant contribution of customer incivility to employees' negative emotions. Notably, this impact is more pronounced among employees in organizations characterized by low power distance compared to those in organizations with high power distance.

This research significantly advances our understanding of the emotional repercussions of customer incivility on employees by integrating cognitive–motivational–relational theory and organizational culture perspectives. The findings not only provide valuable theoretical insights but also offer practical implications for effectively managing employee well-being in culturally diverse contexts. The study recognizes certain limitations and puts forth suggestions for future research directions.

The purpose of this paper is to report on bibliometric research on the activities and services offered by distance libraries that serve distance learning institutions.

The analysis of scholarly communication has always been a valuable tool for researchers and policymakers in order to understand trends, gaps and patterns in a specific field. In this paper, a bibliometric analysis has been applied based on a well-known bibliometric tool called “VOSviewer.” The articles that constitute the dataset of current research were drawn from two journals: the Journal of Library Administration and the Journal of Library and Information Services in Distance Learning.

The bibliometric analysis applied in distance libraries showed that the researchers in this domain are mainly introverts and need to prioritize engaging in the scientific research process over merely publishing good practices. Although there are a lot of libraries serving distance learning institutions (formal and non-formal), there is a notable lack of activity in the scientific publication field.

Distance libraries have played a significant role in supporting distance learning, and since distance education has become more important in the educational ecosystem, the analysis of its scholarly production would provide administrators, researchers and policymakers with insights for the next era of conventional libraries.

The literature suggests that increasing the intensity of compensation incentives for corporate venture capital (CVC) managers can contribute to successful exits of direct CVCs. This study explores the impact of compensation incentives on the successful exits of indirect CVCs under different geographical distances between parent companies and indirect CVC managers.

The authors observed the compensation terms of CVC managers through investment announcements made by listed companies and used a probit regression model to test the hypotheses from a sample of 241 investment events with indirect CVCs in China.

The results show that if parent companies are geographically close to the managers of indirect CVCs, increasing the intensity of compensation incentives for managers will help the successful exit of indirect CVCs. However, if parent companies are not geographically close to indirect CVC managers, increasing the intensity of compensation incentives for managers will not promote the successful exit of indirect CVCs.

This study contributes significantly to the CVC literature. First, it sharpens our understanding of the differences in operational mechanisms between direct and indirect CVCs. Second, we find that the threshold returns of indirect CVC managers are non-negligible compensation incentives. Finally, the empirical evidence supports that in indirect CVC investments, the geographical distance between parent companies and managers is concerning because it affects whether compensation incentives contribute to the successful exit of indirect CVCs.

The reported Kullback–Leibler (K–L) distance-based generalized grey target decision method (GGTDM) for mixed attributes is an asymmetric decision-making basis (DMB) that does not have the symmetric characteristic of distance in common sense, which may affect the decision-making result. To overcome the deficiency of the asymmetric K–L distance, the symmetric K–L distance is investigated to act as the DMB of GGTDM for mixed attributes.

The decision-making steps of the proposed approach are as follows: First, all mixed attribute values are transformed into binary connection numbers, and the target centre indices of all attributes are determined. Second, all the binary connection numbers (including the target centre indices) are divided into deterministic and uncertain terms and converted into two-tuple (determinacy and uncertainty) numbers. Third, the comprehensive weighted symmetric K–L distance can be computed, as can the alternative index of normalized two-tuple (deterministic degree and uncertainty degree) number and that of the target centre. Finally, the decision-making is made by the comprehensive weighted symmetric K–L distance according to the rule that the smaller the value, the better the alternative.

The case study verifies the proposed approach with its sufficient theoretical basis for decision-making and reflects the preferences of decision-makers to address the uncertainty of an uncertain number.

This work compares the single-direction-based K–L distance to the symmetric one and uses the symmetric K–L distance as the DMB of GGTDM. At the same time, different coefficients are assigned to an uncertain number’s deterministic term and uncertain term in the calculation process, as this reflects the preference of the decision-maker.

In order to solve the decision-making problem that the attributive weight and attributive value are both interval grey numbers, this paper tries to construct a multi-attribute grey decision-making model based on generalized greyness of interval grey number.

Firstly, according to the nature of the generalized gresness of interval grey number, the generalized weighted greyness distance between interval grey numbers is given, and the transformation relationship between greyness distance and real number distance is analyzed. Then according to the objective function that the square sum of generalized weighted greyness distances from the decision scheme to the best scheme and the worst scheme is the minimum, a multi-attribute grey decision-making model is constructed, and the simplified form of the model is given. Finally, the grey decision-making model proposed in this paper is applied to the evaluation of technological innovation capability of 6 provinces in China to verify the effectiveness of the model.

The results show that the grey decision-making model proposed in this paper has a strict mathematical foundation, clear physical meaning, simple calculation and easy programming. The application example shows that the grey decision model in this paper is feasible and effective. The research results not only enrich the grey system theory, but also provide a new way for the decision-making problem that the attributive weights and attributive values are interval grey numbers.

The decision-making model proposed in this paper does not need to seek the optimal solution of the attributive weight and the attributive value, and can save the decision-making labor and capital investment. The model in this paper is also suitable for the decision-making problem that deals with the coexistence of interval grey numbers and real numbers.

The paper succeeds in realizing the multi-attribute grey decision-making model based on generalized gresness and its simplified forms, which provide a new method for grey decision analysis.

This study focuses on the triadic multilevel psychic distance (MPD) between the firm, target market and bridge-maker and its consequences for firm internationalization. Specifically, it spotlights the triadic psychic distance between firms, the levels of psychic distance in the target market (country and business) and the bridge-maker. Therefore, this study examines the triadic MPD among these three entities and its impact on firm internationalization.

This study uses qualitative and case study research approaches. It is based on 8 case companies and 24 internationalization cases. Secondary data were collected, and interviews with bridge-makers and industry experts were conducted.

The study found that MPD appeared in the triad. The MPD between firms and markets is related to country-specific differences and business difficulties. The MPD between the firm and the bridge-maker is based on the latter’s lack of knowledge vis-à-vis bridging the firm’s MPD. Finally, the MPD between bridge-makers and the market is based on the former’s lack of knowledge of the home country’s business difficulties.

This is the first study to develop and adopt a triadic multilevel psychic distance conceptualization that provides evidence for and sheds light on the triadic MPD and its effect on firm internationalization. This study identifies the reasons behind triadic MPD in connection to firm internationalization. Notably, firm internationalization is interdependent on the triadic MPD setting between the firm, bridge-maker and target market. It has theoretical value and contributes to the recent advancement in the understanding of MPD in international marketing literature.

This study aims to investigate the influence of network power on exploratory and exploitative innovation and examines the moderating effects of power distance and procedural justice on these untested relationships.

This study uses survey data collected from firms in China and explores the influential mechanisms of network power, power distance and procedural justice in firm innovation.

This study empirically shows that network power has an inverted U-shaped effect on exploratory and exploitative innovation. Power distance weakens the effect of network power on exploratory and exploitative innovation, and procedural justice enhances the effect of network power on exploratory and exploitative innovation.

This study extends resource dependence theory and contributes to the literature on innovation management. Future studies should use different collection channels or research methods to provide more evidence for model promotion. In addition, the dynamic power game among network members and the roles of other mediators or moderators warrant further consideration.

Managers should exercise power strategies properly and ensure that their innovation income exceeds expenditures. Managers need to pay serious attention to power distance and procedural justice in the network and formulate suitable cooperation strategies based on actual conditions.

This study applies the resource dependence theory to investigate the influence of network power on exploratory and exploitative innovation. In addition, the moderating roles of power distance and procedural justice in the above relationships, which have rarely been discussed in previous studies, were tested.

The measurement of regional competitiveness is becoming essential for policymakers to address territorial disparities, while considering the issue of correlations among indicators. Therefore, the purpose of this paper is to measure regional competitiveness using the Technique for Order Preference by Similarity to the Ideal Solution (TOPSIS) by considering different distance measures and two levels of analysis to provide a comparative and comprehensive measurement of regional competitiveness in Europe.

The authors apply TOPSIS based on three different distance measures (the Manhattan, the Euclidean and the Mahalanobis distance measures) to the regions of the EU Regional Competitiveness Index (RCI) 2019, which is taken as the frame of reference.

The authors replicate the RCI by using TOPSIS with a less preferred choice of distance measure, indicating TOPSIS as a valuable method for policymakers in the analysis of regional competitiveness. The authors argue in favour of the Mahalanobis distance measure as the best of the three, as it considers correlations among macro-economic indicators.

This study aims to make three contributions. Firstly, by replicating the RCI by means of TOPSIS with a less preferred choice of distance measure, the paper provides a benchmark for future research on regional competitiveness. Secondly, by suggesting the use of TOPSIS with the use of the Mahalanobis distance measure, the authors show how to measure regional competitiveness by taking into account correlations among pillars. Thirdly, the authors argue in favour of considering clusters of regions when measuring regional competitiveness.

First-generation students (FGS) experience numerous challenges during their studies because of their background attributes and lack of social capital required to navigate institutions of higher learning. The purpose of this study was to investigate the influence of perceived social support and a sense of belonging on academic persistence among FGS at a distance e-learning institution in South Africa.

A cross-sectional quantitative research approach was employed. The sample comprised 240 undergraduate students. While multiple linear regression analysis was used to assess the influence of perceived social support and sense of belonging on academic persistence, mediation analysis was used to test for the mediating effect of sense of belonging on the relationship between perceived social support and academic persistence.

The results revealed that while perceived family support, perceived friendship support and perceived support from others did not significantly predict academic persistence, a sense of belonging significantly predicted academic persistence. The results also demonstrated that a sense of belonging significantly mediated the relationship between perceived family support and academic persistence. Further, the sense of belonging significantly mediated the relationship between perceived support from others and academic persistence.

The results of the study imply that distance learning institutions should strengthen student support mechanisms and institute steps to create learning environments that engender belongingness to enable students to persist academically and reach their academic goals.

This study outlines practical strategies that distance learning institutions could use to enhance support and bolster belongingness among students to help them complete their studies.