Rough sets are used in numerous knowledge representation contexts and are then empowered with varied ontologies. These may be intrinsically associated with ideas of rationality under certain conditions. In recent papers, specific granular generalisations of graded and variable precision rough sets are investigated by the present author from the perspective of rationality of approximations (and the associated semantics of rationality in approximate reasoning). The studies are extended to ideal-based approximations (sometimes referred to as subsethood-based approximations). It is additionally shown that (...) co-granular or point-wise approximations defined by σ-ideals/filters (for an arbitrary relation σ) fit easily into the entire scheme. Concepts of the rationality of objects (vague or crisp) and their types are introduced and are shown to be applicable to most general rough sets by the present author. Surprising results on these are proved on these by her in this part of the research paper. The present paper is the first of a three part study on the topic. (shrink)

In 1987, the World Commission on Economic Development popularized the term “sustainable development” in its well-cited report, Our Common Future. According to this report, sustainable development is defined as “the development that meets the needs of the present without compromising the ability of future generations to meet their own needs.” The WCED asserted that sustainable development required simultaneous adoption of environmental, economical, and equity principles. Bansal, 197–218, 2005) has conducted a study of Canadian firms in the oil and gas, mining, (...) and forestry industries from 1986 to 1995. The study found that both resources based and institutional factors influence corporate sustainable development. This paper studied the corporate sustainable development of Mysore Paper Mills Ltd. from 1995 to 2011 using the same model. The study found that independent variables with significant impact on environmental integrity and overall sustainability were fines, penalties, court cases involved by the company, and log of total assets. On economic prosperity, the independent variable with significant impact is log of total assets. For social equity, the independent variable with significant impact is foreign sales as percentage of total sales, number of fines/penalties/court cases, number of fines/penalties/court cases, log, and return on equity. (shrink)