Formal concept analysis perspectives on three-way conflict analysis

Pawlak conflict analysis focuses on three-valued ratings of a set of agents on a set of issues, in which the three values +, 0, and − indicate, respectively, that an agent is positive, neutral, and negative about an issue. According to their shared ratings, we can form different types of agent coali...

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Published in:	International journal of approximate reasoning Vol. 152; pp. 160 - 182
Main Authors:	Lang, Guangming, Yao, Yiyu
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 01.01.2023
Subjects:	Agent coalition Coalition-bundle coupling Conflict analysis Formal concept analysis Issue bundle Three-way decision Formal concept analysis Three-way decision Agent coalition Coalition-bundle coupling Conflict analysis Issue bundle
ISSN:	0888-613X, 1873-4731
Online Access:	Get full text
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Abstract	Pawlak conflict analysis focuses on three-valued ratings of a set of agents on a set of issues, in which the three values +, 0, and − indicate, respectively, that an agent is positive, neutral, and negative about an issue. According to their shared ratings, we can form different types of agent coalitions and, similarly, different types of issue bundles (i.e., families of issues to be considered together). The main objective of this paper is to introduce and investigate connections of agent coalitions and issue bundles from Wille formal concept analysis perspectives. By interpreting a three-valued rating table as four different formal contexts, we introduce four types of agent coalitions, namely, support, non-opposition, opposition, and non-support coalitions, the corresponding four types of issue bundles, and four lattices of coalition-bundle couplings. The lattices reveal structural information of agents and issues in a conflict situation. To demonstrate the usefulness of the proposed model, we analyze the problem of development planning of the Gansu Province of China.
AbstractList	Pawlak conflict analysis focuses on three-valued ratings of a set of agents on a set of issues, in which the three values +, 0, and − indicate, respectively, that an agent is positive, neutral, and negative about an issue. According to their shared ratings, we can form different types of agent coalitions and, similarly, different types of issue bundles (i.e., families of issues to be considered together). The main objective of this paper is to introduce and investigate connections of agent coalitions and issue bundles from Wille formal concept analysis perspectives. By interpreting a three-valued rating table as four different formal contexts, we introduce four types of agent coalitions, namely, support, non-opposition, opposition, and non-support coalitions, the corresponding four types of issue bundles, and four lattices of coalition-bundle couplings. The lattices reveal structural information of agents and issues in a conflict situation. To demonstrate the usefulness of the proposed model, we analyze the problem of development planning of the Gansu Province of China.
Author	Yao, Yiyu Lang, Guangming
Author_xml	– sequence: 1 givenname: Guangming orcidid: 0000-0003-4090-4074 surname: Lang fullname: Lang, Guangming email: langguangming1984@126.com organization: School of Mathematics and Statistics, Changsha University of Science and Technology, Changsha, Hunan, 410114, PR China – sequence: 2 givenname: Yiyu surname: Yao fullname: Yao, Yiyu email: Yiyu.Yao@uregina.ca organization: Department of Computer Science, University of Regina, Regina, Saskatchewan, S4S 0A2, Canada
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Snippet	Pawlak conflict analysis focuses on three-valued ratings of a set of agents on a set of issues, in which the three values +, 0, and − indicate, respectively,...
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SubjectTerms	Agent coalition Coalition-bundle coupling Conflict analysis Formal concept analysis Issue bundle Three-way decision
Title	Formal concept analysis perspectives on three-way conflict analysis
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