期刊
JOURNAL OF COMPUTATIONAL SCIENCE
卷 25, 期 -, 页码 161-169出版社
ELSEVIER
DOI: 10.1016/j.jocs.2017.03.019
关键词
Variable decision implication; Non-redundancy; Completeness; Inference rules
资金
- State Key Program of National Natural Science of China [61432011, U1435212]
- National Natural Science Foundation of China [61272095, 61573231, 61303107, 41401521, 61672331]
- Shanxi Scholarship Council of China
- Natural Science Foundation of Shanxi, China [201601D021072, 2015021101]
- Shanxi Science and Technology Infrastructure [2015091001-0102]
- [2012BAH33B01]
Decision-making is important in all science-based professions, where specialists apply their knowledge to making valuable decisions. In Formal Concept Analysis, decision-making problem is handled within decision contexts and in the form of decision implications. In this paper, we introduce the notion of variable decision implication to generalize decision implications and uncertain decision implications. We describe the semantic aspect of variable decision implications by defining the notions of follow, non-redundant, complete, etc., and provide the syntactical description by presenting three inference rules and proving their soundness and completeness. This paper also provides a re-explanation of deduction of associative rules, and should be regarded as a starting point for effectively reducing the size of associative rules. (C) 2017 Elsevier B.V. All rights reserved.
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