AN APPROACH TO SOLVE SOME UNSOLVED LIMITATIONS: ROUGH SET THEORY

Anshit Mukherjee, Gunjan Mukherjee, Kamal Kumar Ghosh
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Abstract

Rough set theory is a mathematical approach to dealing with uncertainty and vagueness in data. It was introduced as a way to approximate classical sets using lower and upper bounds. Rough set theory has been applied to various domains such as data mining, knowledge discovery, machine learning, soft computing, medical analysis, synthesis of switching circuits, and civil engineering. Rough set theory can handle imprecise and noisy data by finding structural relationships and dependencies among attributes. It can also reduce redundant and irrelevant attributes and generate decision rules from data. Rough set theory is closely related to fuzzy set theory, but differs in that it uses multiple memberships instead of partial memberships to model uncertainty. Lot of research works have taken place in this domain with many fruitful outcomes that helped lot in expanding this field to much wider reach of knowledge irrespective of the domain concerned to mathematical and technological application development. In lieu of such research-oriented progress in different versatile domain, many areas of research has remained untouched as many a problem remained unsolved being shrouded under the mystery. This paper deals mainly with some of the still unsolved questions on Rough Set that are under study for new discovery and a way to overcome such limitations citing proper techniques, examples, working models, and graphs.
一种解决一些未解决的限制的方法:粗糙集理论
粗糙集理论是一种处理数据不确定性和模糊性的数学方法。它是作为一种利用下界和上界近似经典集合的方法引入的。粗糙集理论已被应用于数据挖掘、知识发现、机器学习、软计算、医学分析、开关电路合成和土木工程等各个领域。粗糙集理论可以通过发现属性之间的结构关系和依赖关系来处理不精确和有噪声的数据。它还可以减少冗余和不相关的属性,并从数据中生成决策规则。粗糙集理论与模糊集理论密切相关,但不同之处在于它使用多隶属度而不是部分隶属度来建模不确定性。在这一领域进行了大量的研究工作,并取得了许多卓有成效的成果,这些成果有助于将这一领域扩展到更广泛的知识范围,而不是涉及数学和技术应用开发的领域。在不同的多用途领域,与这种研究型的进步相反,许多领域的研究仍未触及,许多问题仍未解决,被笼罩在神秘之下。本文主要讨论粗糙集研究中尚未解决的一些问题,并引用适当的技术、实例、工作模型和图来克服这些限制。
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