Sustainability 4.0 (S4.0) enables sustainable development through intelligent technologies to meet economic, environmental and social demands. The main objective of this article is to propose a framework for developing S4.0 in sectors of Triple Helix (TH) (Government, Organizations and Academy). The framework consists of benchmarking of policies and initiatives from the Science-Technology Scenario in S4.0 (STS-S4.0) and the author's experience. The STS-4.0 is a snapshot of relevant initiatives from the countries that performed best in science and technology in S4.0. This work uses the methods of bibliometric studies and content analysis of scientific articles from the Scopus database and patents publications from the Orbit database. This research resulted in a total of 19 propositions for developing sustainability through I4.0. Of these, eight are for Government, six for Organizations and five for Academy. The main scientific contribution of this work is to expand and deepen the recent block of knowledge on S4.0. As for the applied contribution, this work contributes to the conscious and sustainable development of humanity through the technological elements of I4.0, contributing to the achievement of the following SDGs proposed by the UN: 9 (Industries, Innovation and Infrastructure), 11 (Sustainable Cities and Communities) and 13 (Climate Action). The main novelty of this article is the creation of paths for Government, Organizations and Academy to interactively lead the development of global sustainability through the smart technologies of I4.0.

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The history of industry is marked by four industrial revolutions, and society is now in the consolidation of its fourth, which provides opportunities for sustainability, such as reduction in environmental impact and social inclusion. This article aims to identify the main authors, countries, articles, and research gaps on the theme "Industry 4.0 and Corporate Sustainability"; and to draw up a mind map with the research trends, through the analysis of the documents that are indexed in the Scopus database. Among the main trends that were identified in this article are: Industry 4.0 as a tool to support sustainability; Intersection and boundaries between sustainability and industry 4.0; Development of industry 4.0 along the lines of sustainability; Management applied in sustainable industry 4.0. The main contribution applied was the exposure of the possibilities that companies can implement, both in relation to sustainability in the development of innovative technologies, and the use of technologies to strengthen the pillars of sustainability.

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A problem facing the product development community is developing simultaneous solutions of response variables (to several properties) that depends on a number of independent variables or sets of responses. Harrington, among others, addressed this problem and presented a desirability function with a functional approach. Derringer and Suich altered their approach and illustrated how multiple variables can be transformed into a convenience function. This work redid the calculation performed by them using another software and made a comparative discussion of the results found.

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