Extracting Fuzzy Linguistic Summaries Based on Including Degree Theory and FCA

Authors:
Li Zhang;Zheng Pei;Honghua Chen
Affiliations:
School of Mathematics & Computer, Xihua University, Chengdu, Sichuan, 610039, China;School of Mathematics & Computer, Xihua University, Chengdu, Sichuan, 610039, China;School of Mathematics & Computer, Xihua University, Chengdu, Sichuan, 610039, China
Venue:
IFSA '07 Proceedings of the 12th international Fuzzy Systems Association world congress on Foundations of Fuzzy Logic and Soft Computing
Year:
2007

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Abstract

In information systems (or database), generally, attribute values of objects are numeral or symbols, from application point of view, linguistic information or decision rules are widely used. Hence, fuzzy linguistic summaries would be very desirable and human consistent. In this paper, extracting fuzzy linguistic summaries from a continuous information system is discussed. Due to fuzzy linguistic summaries can not be extracted directly in the information system, fuzzy information system is used to discretize the continuous information system, and level cut set is used to obtain classical information system firstly. Then based on including degree theory and formal concept analysis (FCA), simple fuzzy linguistic summaries are extracted. To extract complex linguistic summaries, logical conjunctions ï戮驴 , ï戮驴 and ï戮驴 are used. An Example of checking quality of sweetened full cream milk powder is also provided.