Multigranulation vague rough set over two universes and its application to group decision making

In order to actively respond to the severe situation of the current African swine fever (ASF) epidemic, this paper proposed a double-quantitative decision rough set method over two universes. First, a doublequantitative decision rough set model over two universes based on compatibility relation is defined. Furthermore, the characteristics of ASF decision-making problems are fully considered, and the ASF decisionmaking process is transformed into a rough approximation decision problem. Then, we construct a double-quantitative decision rough set application method over two universes based on ASF decision-making problems. The upper and lower approximations of the ASF decision objects are calculated by the double quantification approximation space over two universes, and the positive region of the ASF decision object is given. The model proposes a method of ASF decision-making and the optimal decision rules based on the personal preference information of decision-makers. Finally, the theoretical model is applied to the ASF decision problem to illustrate the application process and its effectiveness of the model constructed in this paper. At the same time, the corresponding decision suggestions for dealing with the actual ASF problem are proposed based on the application results of numerical examples.

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“…Otherwise, Y is an indefinable set. Meanwhile, the model presented above is called rough set over two universes (B. Sun et al, 2017).…”

Section: Rough Set Over Two Universesmentioning

confidence: 99%

Double-quantitative decision rough set over two universes and application to African swine fever decision-making

Sun

Wang

et al. 2020

Journal of Experimental & Theoretical Artificial Intelligen

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“…In 1995, Yao et al [11] proposed a twodomain RS model based on precise binary relations, which extended the RS theory to the information system over two universes. Information system over two universes occupies an important position in the field of information processing, and it is widely used in personalized recommendation [12], medical diagnosis [13], demand forecasting [14], and others. Yao's RS model over two universes mentioned above can handle numerical data.…”

Section: Introductionmentioning

confidence: 99%

Object-First Incremental Algorithms for Updating Approximations in Multi-Granulation Fuzzy Probabilistic Rough Sets Over Two Universes

et al. 2021

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“…Wong et al [29] proposed the notion of rough set model on two universes and several applications of the rough set model on two universes are discussed in [30][31][32][33][34][35][36][37][38][39][40]. Yao and Lin [41,42] introduced the notion of graded rough sets on one universe.…”

Section: Introductionmentioning

confidence: 99%

Graded Rough Sets based on Neighborhood Operator Over two Different Universes and its Application

Khalil¹

2021

Preprint

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The major concern of this paper is to present the notion of rough set based on neighborhood operator on universe set, along with its properties, and examples. Then, we generalize several notions of covering rough sets to neighborhood rough sets with respect to the graded n. Further, we present some notions such as probabilistic neighborhood rough approximations of X, (Type-I / Type-II) probabilistic neighborhood rough approximations of X with error α and β, and (Type-I / Type-II) probabilistic neighborhood rough approximations of X with respect to N . The interesting properties of above notions are investigated in detail. On the other hand, we define the notion of rough set based on neighborhood operator over two different universes. Subsequently, we present some notions (Type-I / Type-II / Type-III) graded n-neighborhood rough sets and give a two approaches to decision-making problems based on the (Type-II / Type-III) grade n-neighborhood rough sets. Then, we construct the decision steps and give two algorithms of the decision methods. Also, we will give two illustrative examples to show the applicability of the rough set based on neighborhood operator over two different universes to solve the rough decision-making problems. Finally, we give a comparison between the Liu et al.’s approach and our approach.

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Multigranulation vague rough set over two universes and its application to group decision making

Cited by 41 publications

References 54 publications

Double-quantitative decision rough set over two universes and application to African swine fever decision-making

Double-quantitative decision rough set over two universes and application to African swine fever decision-making

Object-First Incremental Algorithms for Updating Approximations in Multi-Granulation Fuzzy Probabilistic Rough Sets Over Two Universes

Graded Rough Sets based on Neighborhood Operator Over two Different Universes and its Application

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