Abstract:

Conflicts widely exist in social problems. In order to better straight forwardly present and semantically describe conflict analysis problem, and inspired by three-way approximate concept analysis on the incomplete contexts, this paper regards a conflict table as a three-valued formal context. And based on the context, generalized three-way operators and their inverse operators are proposed, through which object-induced generalized three-way concept (GOE-concept) can be obtained. Moreover, the relevant properties of GOE-concepts are presented to state that the set of all the GOE-concepts can form the GOE-concept lattice. Then, the visual description of conflict analysis problem based on GOE-concept is discussed explaining that the intent of each GOE-concept is a description of common characters under the agent contained in the extent. Finally, the relationships between the object-induced three-way approximate concept lattice (OE-approximate concept lattice) and GOE-concept lattice are discussed, which further illustrates that the GOE-concept can describe the common information of conflict analysis more comprehensively and richly than the OE-approximation concept.

Key words: conflict analysis, three-valued formal context, description of common characters, object-induced three-way approximate (OE-approximate) concept lattice, object-induced generalized three-way concept (GOE-concept) lattice

摘要：

冲突广泛存在于社会问题中。为了更好地直观展示冲突分析问题，并给出语义描述，受不完备形式背景上三支近似概念分析理论的启发，将冲突表看作三值形式背景，并在其基础上提出了广义三支算子及其逆算子，通过广义三支算子及其逆算子得到对象导出广义三支概念（GOE-概念），并给出其性质，进一步说明所有GOE-概念的集合可以形成GOE-概念格；进而，讨论了GOE-概念格在冲突分析中进行可视化描述的应用，说明每一个GOE-概念的内涵即为在外延所含代理人下的共性描述；最后，研究了对象导出三支近似概念格（OE-近似概念格）与GOE-概念格的关系，进一步表明GOE-概念相较于OE-近似概念，能够更全面更丰富地描述冲突分析的共性信息。

关键词: 冲突分析, 三值形式背景, 共性描述, 对象导出三支近似概念（OE-近似概念）格, 对象导出广义三支概念（GOE-概念）格