Dominance-based rough set approach
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On Intuitionistic Fuzzy Rough Sets Open
Rough set theory, fuzzy set theory and Intuitionistic fuzzy set theory deal with sets having imprecise boundaries. The contemporary concern about unravelling hidden knowledge from imperfect data and incomplete information systems has lead …
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An Attribute Reduction Method Using Neighborhood Entropy Measures in Neighborhood Rough Sets Open
Attribute reduction as an important preprocessing step for data mining, and has become a hot research topic in rough set theory. Neighborhood rough set theory can overcome the shortcoming that classical rough set theory may lose some usefu…
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A MULTI-CRITERIA DECISION-MAKING (MCDM) MODEL IN THE SECURITY FORCES OPERATIONS BASED ON ROUGH SETS Open
The paper points to a multi-criteria decision-making model based on the rough set theory application. The model demonstrates exceptional importance of the software application of the rough sets to decision-making in the security forces ope…
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Recent Fuzzy Generalisations of Rough Sets Theory: A Systematic Review and Methodological Critique of the Literature Open
Rough set theory has been used extensively in fields of complexity, cognitive sciences, and artificial intelligence, especially in numerous fields such as expert systems, knowledge discovery, information system, inductive reasoning, intell…
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Soft Classes and Soft Rough Classes with Applications in Decision Making Open
Rough set was defined by Pawlak in 1982. Concept of soft set was proposed as a mathematical tool to cope with uncertainty and vagueness by Molodtsov in 1999. Soft sets were combined with rough sets by Feng et al. in 2011. Feng et al. inves…
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On Soft Rough Topology with Multi-Attribute Group Decision Making Open
Rough set approaches encounter uncertainty by means of boundary regions instead of membership values. In this paper, we develop the topological structure on soft rough set ( SR -set) by using pairwise SR -approximations. We define SR -open…
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Some Topological Approaches for Generalized Rough Sets and Their Decision-Making Applications Open
The rough set principle was proposed as a methodology to cope with vagueness or uncertainty of data in the information systems. Day by day, this theory has proven its efficiency in handling and modeling many real-life problems. To contribu…
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Topological structures in rough set theory: A survey Open
Rough set theory provides a mathematical tool to study vague, imprecise, inconsistent and uncertain knowledge. The topological notions are closely related to the notions and results of rough set theory, so the conjoint study of rough set t…
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A rough set approach for determining weights of decision makers in group decision making Open
This study aims to present a novel approach for determining the weights of decision makers (DMs) based on rough group decision in multiple attribute group decision-making (MAGDM) problems. First, we construct a rough group decision matrix …
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Soft pre-rough sets and its applications in decision making Open
Soft rough set model represents a different mathematical model to which many real-life data can be connected. In fact, this theory represents a link between soft set and rough set theories. The main goal of the present paper is to introduc…
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New Topological Approaches to Generalized Soft Rough Approximations with Medical Applications Open
There are many approaches to deal with vagueness and ambiguity including soft sets and rough sets. Feng et al. initiated the concept of possible hybridization of soft sets and rough sets. They introduced the concept of soft rough sets, in …
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Two Different Views for Generalized Rough Sets with Applications Open
Rough set philosophy is a significant methodology in the knowledge discovery of databases. In the present paper, we suggest new sorts of rough set approximations using a multi-knowledge base; that is, a family of the finite number of gener…
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A Novel Multi-Criteria Decision-Making Method Based on Rough Sets and Fuzzy Measures Open
Rough set theory provides a useful tool for data analysis, data mining and decision making. For multi-criteria decision making (MCDM), rough sets are used to obtain decision rules by reducing attributes and objects. However, different redu…
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SDMGRS: Soft Dominance Based Multi Granulation Rough Sets and Their Applications in Conflict Analysis Problems Open
The classical rough set theory was presented by Pawlak, which is mainly concerned with the approximation of sets described by a single binary relation on the universe. In this paper, we initiate a multi attribute group decision making prob…
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An Efficient Soft Set-Based Approach for Conflict Analysis Open
Conflict analysis has been used as an important tool in economic, business, governmental and political dispute, games, management negotiations, military operations and etc. There are many mathematical formal models have been proposed to ha…
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Two Types of Intuitionistic Fuzzy Covering Rough Sets and an Application to Multiple Criteria Group Decision Making Open
Intuitionistic fuzzy rough sets are constructed by combining intuitionistic fuzzy sets with rough sets. Recently, Huang et al. proposed the definition of an intuitionistic fuzzy (IF) β -covering and an IF covering rough set model. In this …
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Attribute Reduction Based on Consistent Covering Rough Set and Its Application Open
As an important processing step for rough set theory, attribute reduction aims at eliminating data redundancy and drawing useful information. Covering rough set, as a generalization of classical rough set theory, has attracted wide attenti…
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Criteria selection and decision making of hotels using Dominance Based Rough Set Theory Open
Accommodation is one of the necessities of tourists and travel agencies' significant responsibilities. With the growing competition and profit-making various tour organising companies have started providing attractive accommodation options…
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Three-Way Fuzzy Sets and Their Applications (II) Open
Recently, the notion of a three-way fuzzy set is presented, inspired by the basic ideas of three-way decision and various generalized fuzzy sets, including lattice-valued fuzzy sets, partial fuzzy sets, intuitionistic fuzzy sets, etc. As t…
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Neutrosophic Soft Rough Graphs with Application Open
Neutrosophic sets (NSs) handle uncertain information while fuzzy sets (FSs) and intuitionistic fuzzy sets (IFs) fail to handle indeterminate information. Soft set theory, neutrosophic set theory, and rough set theory are different mathemat…
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Decision-Making Approach Based on Neutrosophic Rough Information Open
Rough set theory and neutrosophic set theory are mathematical models to deal with incomplete and vague information. These two theories can be combined into a framework for modeling and processing incomplete information in information syste…
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A Fast Feature Selection Algorithm by Accelerating Computation of Fuzzy Rough Set-Based Information Entropy Open
The information entropy developed by Shannon is an effective measure of uncertainty in data, and the rough set theory is a useful tool of computer applications to deal with vagueness and uncertainty data circumstances. At present, the info…
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A Novel Rough Set Model in Generalized Single Valued Neutrosophic Approximation Spaces and Its Application Open
In this paper, we extend the rough set model on two different universes in intuitionistic fuzzy approximation spaces to a single-valued neutrosophic environment. Firstly, based on the ( α , β , γ ) -cut relation R ˜ { ( α , β , γ ) } , we …
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Four-valued Tableau Calculi for Decision Logic of Rough Set Open
Rough sets theory is used to handle uncertain and inconsistent information. While, Pawlak's decision logic of rough sets is based on classical bivalence logic, this may cause a limitation for the various reasoning. In this study, we propos…
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Multi-Granulation Rough Set for Incomplete Interval-Valued Decision Information Systems Based on Multi-Threshold Tolerance Relation Open
A relation is viewed as a granularity from a granular computing perspective. A classic rough set contains only one granularity. A multi-granulation rough set contains multiple granularities, which promotes the applications of classical rou…
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Rough set decision algorithms for modeling with uncertainty Open
The use of decision rules allows to extract information and to infer conclusions from relational databases in a reliable way, thanks to some indicators like support and certainty. Moreover, decision algorithms collect a group of decision r…
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HYBRID ROUGH SET AND DATA ENVELOPMENT ANALYSIS APPROACH TO TECHNOLOGY PRIORITISATION Open
The complexity and speed of change in technological systems pose new challenges to technology management. Particular attention should be given to the issue of modelling the uncertainty of assessments and creating rules for determining the …
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Attribute Reduction Based on Rough Approximation Set in Algebra and Information Views Open
Rough set proposed by Pawlak in 1982 is an important tool to process uncertain information. As an extended model of rough set, an approximation set model of rough set was proposed and proved to be feasible to establish an approximation tar…
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Criteria Selection of Housing Loan Based on Dominance-Based Rough Set Theory: An Indian Case Open
Because India has one of the world’s fastest-growing economies, the Indian banking sector is essential to the country’s reform. The approval of home loans to customers is one of the crucial tasks carried out by Indian banks. The risk of lo…
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Decision Making in Fuzzy Rough Set Theory Open
Decision rules are powerful tools to manage information and to provide descriptions of data sets; as a consequence, they can acquire a useful role in decision-making processes where fuzzy rough set theory is applied. This paper focuses on …