Abstract | ||
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The implicational interpretation of fuzzy rules has received little attention in real-world applications so far. This is largely due to the fact that ensuring continuity of the resulting function is not a straightforward task. This paper targets this subject. Departing from consistent linguistic descriptions/rule bases, we introduce sufficient conditions for the continuity of the implicational interpretation with mean of maximum defuzzification. We demonstrate that continuity can be achieved under practically feasible conditions, regardless of the dimensionality of the input. |
Year | DOI | Venue |
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2010 | 10.1016/j.fss.2010.03.009 | Fuzzy Sets and Systems |
Keywords | Field | DocType |
linguistic description,conjunctive normal form,rule based | Linguistic description,Discrete mathematics,Defuzzification,Fuzzy logic,Curse of dimensionality,Conjunctive normal form,Mathematics | Journal |
Volume | Issue | ISSN |
161 | 14 | 0165-0114 |
Citations | PageRank | References |
16 | 0.71 | 19 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Martin Stepnicka | 1 | 447 | 50.26 |
Ulrich Bodenhofer | 2 | 705 | 68.02 |
Martina Danková | 3 | 214 | 18.11 |
Vilém Novák | 4 | 1247 | 132.67 |