Fuzzy-rough set models and fuzzy-rough data reduction

IF 0.5 Q4 ECONOMICS

Croatian Operational Research Review Pub Date : 2020-07-02 DOI:10.17535/crorr.2020.0006

Alireza Mansouri Ghroutkhar, H. M. Nehi

引用次数: 3

Abstract

Rough set theory is a powerful tool to analysis the information systems. Fuzzy rough set is introduced as a fuzzy generalization of rough sets. This paper reviewed the most important contributions to the rough set theory, fuzzy rough set theory and their applications. In many real world situations, some of the attribute values for an object may be in the set-valued form. In this paper, to handle this problem, we present a more general approach to the fuzzification of rough sets. Specially, we define a broad family of fuzzy rough sets. This paper presents a new development for the rough set theory by incorporating the classical rough set theory and the interval-valued fuzzy sets. The proposed methods are illustrated by an numerical example on the real case.

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模糊粗糙集模型与模糊粗糙数据约简

粗糙集理论是分析信息系统的有力工具。模糊粗糙集是粗糙集的一种模糊推广。本文综述了粗糙集理论、模糊粗糙集理论及其应用的最重要贡献。在许多实际情况下，对象的一些属性值可能是集值形式的。为了解决这个问题，我们提出了一种更通用的粗糙集模糊化方法。特别地，我们定义了一个广义的模糊粗糙集族。本文结合经典粗糙集理论和区间值模糊集理论，对粗糙集理论进行了新的发展。通过一个实际算例说明了所提出的方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Croatian Operational Research Review ECONOMICS-

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

22 weeks

期刊介绍： Croatian Operational Research Review (CRORR) is the journal which publishes original scientific papers from the area of operational research. The purpose is to publish papers from various aspects of operational research (OR) with the aim of presenting scientific ideas that will contribute both to theoretical development and practical application of OR. The scope of the journal covers the following subject areas: linear and non-linear programming, integer programing, combinatorial and discrete optimization, multi-objective programming, stohastic models and optimization, scheduling, macroeconomics, economic theory, game theory, statistics and econometrics, marketing and data analysis, information and decision support systems, banking, finance, insurance, environment, energy, health, neural networks and fuzzy systems, control theory, simulation, practical OR and applications. The audience includes both researchers and practitioners from the area of operations research, applied mathematics, statistics, econometrics, intelligent methods, simulation, and other areas included in the above list of topics. The journal has an international board of editors, consisting of more than 30 editors – university professors from Croatia, Slovenia, USA, Italy, Germany, Austria and other coutries.