期刊
IEEE TRANSACTIONS ON FUZZY SYSTEMS
卷 24, 期 3, 页码 645-660出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2015.2470530
关键词
Attribute implication; complete axiomatization; data dependence; formal concept analysis; fuzzy logic; IF-THEN rule; nonredundant base; residuated lattice
资金
- Czech Science Foundation [P202/14-11585S]
We study the semantics of fuzzy IF-THEN rules called fuzzy attribute implications parameterized by systems of isotone Galois connections. The rules express dependences between fuzzy attributes in object-attribute incidence data. The proposed parameterizations are general and include as special cases the parameterizations by linguistic hedges used in earlier approaches. We formalize the general parameterizations, propose bivalent and graded notions of semantic entailment of fuzzy attribute implications, show their characterization in terms of least models and complete axiomatization, and provide characterization of bases of fuzzy attribute implications derived from data.
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