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The purpose of this study is to investigate a joint economic lot-size model with the possibility of cofinancing between members of a three-echelon supply chain (SC) including one supplier, one manufacture and one retailer. Given the differences in credit as well as differences in access to capital markets, SC members will be able to create a financial alliance to maximize the profits of each member. This study proposed a model to maximize the annuity stream of the SC by considering the financial interaction between SC members.

This joint economic lot-sizing problem was described and modeled mathematically. To evaluate the mathematical model, different scenarios were considered with (and without) the possibility of financial interaction.

It is suggested that, in addition to the goods and information flow among SC members, proper financial flow can also have an impact on the improvement of SC performance.

While previous studies consider cofinancing between members of a two-echelon SC, this paper considers a three-echelon SC including one supplier, one manufacturer and one retailer where financial cooperation between different levels of the SC in both upstream and reverse directions will be possible.

The purpose of this paper is to study the popular educational broadcasting of Julius Sumner Miller and its intersections with contemporary science policy and education.

The paper draws on archival research including resources so far unused by historians of science or of broadcasting and audio-visual resources of Sumner Miller’s broadcasts on Australian, Canadian and American television. It begins by contextualising Sumner Miller as both an academic and broadcaster. The second section interprets the core points of his educational philosophy which he articulated in his written and broadcast works. The final section uses his private papers contextualised by works on the history and philosophy of science to interpret and delineate the disparity between Sumner Miller’s influence as a populariser of science and the prevailing trends in scientific policy and teaching.

This paper proposes that reconstructing the themes and recurring points he asserted in his broadcasts reveals disjunction between Sumner Miller’s high-profile successes and the contemporary trends in both science policy and science education. This paper interprets the circumstance of an internationally known and influential science populariser who was coterminous with but against the grain of the notion of “big science”. He therefore sought to popularise science precisely as it was developing in ways he disparaged.

This paper breaks new ground by interpreting the different sources, audio-visual and written, created by and about an influential television broadcaster.

Although he was widely and internationally known, and the range of his influence on science communication is generally noted, Sumner Miller’s broadcasting and the themes and educational philosophy espoused in it is little researched and contextualised. This paper sharpens understanding of his influence but also his points of intersection and disjunction with scientific culture. Hitherto unused archival resources contribute to this understanding.

To overcome the limitations of traditional multi-attribute decision making (MADM) methods, which only provide deterministic rankings of decision objects, this paper proposes a novel multi-attribute 3WD model. This model presents three-parameter interval grey number decision-theoretic rough sets (TPIGNDTRSs), aiming to offer a reasoned interpretation of loss functions in grey environments and ensure objective assessment of conditional probabilities.

Firstly, the traditional equivalence relation is replaced with the probabilistic dominance relation (PDR), categorizing decision objects into two state sets in DTRS for more objective conditional probabilities. Secondly, as the three-parameter interval grey number (TPIGN) introduces the most probable value on the basis of the traditional two-parameter interval grey number, it provides a more comprehensive method for describing grey information. Consequently, integrating TPIGN into DTRS refines the interpretations of loss functions in grey environments. Finally, by utilizing two main sorting techniques, relative kernel and degree of accuracy ranking and possibility ranking, two types of 3WD rules with TPIGNDTRSs, are constructed.

This study has successfully developed and validated a new multi-attribute 3WD model. The model was tested in two distinct domains: evaluating innovation efficiency in high-tech enterprises and recommending movies in a practical case. The findings reveal that the model can effectively integrate relevant information of high-tech enterprises, provide the government with enterprise-level assessments, and gather consumer preferences to recommend the most suitable movies.

This study treats the loss function as grey information in the 3WD model but overlooks the grey nature of evaluation values, limiting its applicability. Additionally, the model’s reliance on subjective expert judgments and historical data to establish the loss function may affect its objectivity. The implications of this research are that the novel model overcomes traditional MADM limitations, enhancing decision-making quality and efficiency in complex and grey scenarios. The model’s successful application in evaluating high-tech enterprises and recommending movies illustrates its dual value in both theory and practice.

Initially, the model proposed in this study is of significant importance for the development of the 3WD field, as it successfully addresses the challenges of uncertain loss functions and unknown conditional probabilities in grey information environments. Moreover, by integrating the 3WD model with MADM problems, it has broken through the bottlenecks of traditional MADM methods, offering new perspectives and strategies for solving MADM issues. Therefore, this research not only advances theoretical research but also provides powerful tools for practical applications.