摘要 :
The purpose of this paper is devoted to revealing interconnection between rough sets and soft sets. We use the constructive and descriptive approaches of rough set theory and present a direct proof that Pawlakpsilas and Iwinskipsi...
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The purpose of this paper is devoted to revealing interconnection between rough sets and soft sets. We use the constructive and descriptive approaches of rough set theory and present a direct proof that Pawlakpsilas and Iwinskipsilas rough sets can be considered as soft sets.
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摘要 :
The purpose of this paper is devoted to revealing interconnection between rough sets and soft sets. We use the constructive and descriptive approaches of rough set theory and present a direct proof that Pawlakpsilas and Iwinskipsi...
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The purpose of this paper is devoted to revealing interconnection between rough sets and soft sets. We use the constructive and descriptive approaches of rough set theory and present a direct proof that Pawlakpsilas and Iwinskipsilas rough sets can be considered as soft sets.
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摘要 :
The variable precision rough set (VPRS) model generalizes the Pawlak rough set model with variable parameters. The Bayesian rough set (BRS) model improves the VPRS model with non-parametric modification by using the prior probabil...
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The variable precision rough set (VPRS) model generalizes the Pawlak rough set model with variable parameters. The Bayesian rough set (BRS) model improves the VPRS model with non-parametric modification by using the prior probability as a reference. This paper presents two research results related to rough set model and rough vague sets. One is a modification to the Bayesian rough set model and the other is a modification to rough vague sets. First, the Bayesian rough set model is analyzed and discussed. Second, a modification to this model is proposed and verified. Finally, a modification to rough vague sets is presented and its related properties are discussed.
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This note makes a comparative study of multigranulation rough set model and generalized rough set model. It is pointed out that the pessimistic multigranulation rough set model (PMGRS) is a kind of generalized rough set model, it ...
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This note makes a comparative study of multigranulation rough set model and generalized rough set model. It is pointed out that the pessimistic multigranulation rough set model (PMGRS) is a kind of generalized rough set model, it is induced by a reflexive and symmetric relation on the universe. On the contrary, the optimistic multigranulation rough set model (OMGRS) is not a generalized rough set model. In other words, OMGRS can not be induced by a binary relation in general. Furthermore, some mistakes in the existing papers are pointed out.
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In this paper we give a measure of fuzziness in various rough sets and rough sets under fuzzy environment, such as generalized rough sets, rough fuzzy sets, fuzzy rough sets, generalized rough fuzzy sets, generalized fuzzy rough s...
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In this paper we give a measure of fuzziness in various rough sets and rough sets under fuzzy environment, such as generalized rough sets, rough fuzzy sets, fuzzy rough sets, generalized rough fuzzy sets, generalized fuzzy rough sets. And also we discuss some properties of these definitions. Some examples are presented to illustrate these definitions.
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摘要 :
In this paper we give a measure of fuzziness in various rough sets and rough sets under fuzzy environment, such as generalized rough sets, rough fuzzy sets, fuzzy rough sets, generalized rough fuzzy sets, generalized fuzzy rough s...
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In this paper we give a measure of fuzziness in various rough sets and rough sets under fuzzy environment, such as generalized rough sets, rough fuzzy sets, fuzzy rough sets, generalized rough fuzzy sets, generalized fuzzy rough sets. And also we discuss some properties of these definitions. Some examples are presented to illustrate these definitions.
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Rough set theory is a new mathematical tools to process uncertain knowledge. The concept of random precision rough set model based on set-valued function of X is proposed with the two parameters α, β and the properties of the...
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Rough set theory is a new mathematical tools to process uncertain knowledge. The concept of random precision rough set model based on set-valued function of X is proposed with the two parameters α, β and the properties of the model are discussed in the paper. Some useful results about random precision rough set model are got. And we also testify that this model has higher precision than general random rough set model.
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摘要 :
Rough set theory is a new mathematical tools to process uncertain knowledge. The concept of random precision rough set model based on set-valued function of X is proposed with the two parameters α, β and the properties of the mo...
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Rough set theory is a new mathematical tools to process uncertain knowledge. The concept of random precision rough set model based on set-valued function of X is proposed with the two parameters α, β and the properties of the model are discussed in the paper. Some useful results about random precision rough set model are got. And we also testify that this model has higher precision than general random rough set model.
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摘要 :
Relation based rough sets and covering based rough sets are two important extensions of the classical rough sets. This paper investigates relationships between relation based rough sets and the covering based rough sets in a parti...
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Relation based rough sets and covering based rough sets are two important extensions of the classical rough sets. This paper investigates relationships between relation based rough sets and the covering based rough sets in a particular framework of approximation operators, presents a new group of approximation operators obtained by combining coverings and neighborhood operators and establishes some relationships between covering based rough sets and relation based rough sets.
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摘要 :
Relation based rough sets and covering based rough sets are two important extensions of the classical rough sets. This paper investigates relationships between relation based rough sets and the covering based rough sets in a parti...
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Relation based rough sets and covering based rough sets are two important extensions of the classical rough sets. This paper investigates relationships between relation based rough sets and the covering based rough sets in a particular framework of approximation operators, presents a new group of approximation operators obtained by combining coverings and neighborhood operators and establishes some relationships between covering based rough sets and relation based rough sets.
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