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A four-way decision-making approach using interval-valued fuzzy sets, rough set and granular computing: a new approach in data classification and decision-making

机译:一种使用间隔值模糊集,粗糙集和粒度计算的四通决策方法:数据分类和决策中的新方法

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摘要

In this paper, a novel method is presented to solve the problems of classification and decision-making by employing the interval-valued fuzzy set, rough set and granular computing (GrC) concepts. The proposed method can classify the objects available in a system, called an interval-valued fuzzy decision table into the four distinct regions as interval-valued fuzzy-positive region, interval-valued fuzzy-negative region, interval-valued completely fuzzy region and interval-valued gray fuzzy region. These four regions constitute a new space for decision-making, which is termed as a four-way interval-valued decision space (4WIVDS). Based on the classified objects, various decision rules are generated from the distinct regions of the 4WIVDS. The study shows that the interval-valued gray fuzzy region has included most prominent decision rules. For taking precise level of decisions based on this particular region, this study utilizes the GrC to extract granular level of decision rules which are prominent by nature. The proposed 4WIVDS method is verified and validated with various benchmark datasets. Experimental results include statistical and comparison analyses which signify the efficiency of the proposed method in classifying the objects and generating the decision rules.
机译:在本文中,提出了一种新的方法来解决通过采用间隔值模糊集,粗糙集和粒度计算(GRC)概念来解决分类和决策问题。所提出的方法可以将一个系统中可用的对象分类为一个被称为间隔值的模糊决定表的四个不同区域,作为间隔的模糊正区域,间隔值模糊阴性区域,间隔值完全模糊区域和间隔 - 灰色模糊地区。这四个地区构成了决策的新空间,被称为四路间隔值决定空间(4Wivds)。基于分类对象,从4WIVDS的不同区域生成各种决策规则。该研究表明,区间值灰色模糊地区包括最突出的决策规则。为了基于该特定区域采取精确的决策水平,本研究利用GRC提取本质上突出的决策规则的颗粒状水平。已提出的4Wivds方法通过各种基准数据集进行验证和验证。实验结果包括统计和比较分析,它涉及拟议方法在分类对象和产生决策规则方面的效率。

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