Abstract | ||
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New definition of the fuzzy counterpart of real number is presented. An extra feature, called the orientation of the membership curve is introduced. It leads to a novel concept of an ordered fuzzy number, represented by the ordered pair of real continuous functions. Four algebraic operations on ordered fuzzy numbers are defined; they enable to avoid some drawbacks of the classical approach. |
Year | DOI | Venue |
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2003 | 10.1007/978-3-540-36562-4_37 | INTELLIGENT INFORMATION PROCESSING AND WEB MINING |
Keywords | Field | DocType |
fuzzy numbers,quasi-convexity,orientation,algebraic operations | Data mining,Algebra,Fuzzy classification,Defuzzification,Fuzzy set operations,Computer science,Fuzzy set,Fuzzy subalgebra,Fuzzy number,Type-2 fuzzy sets and systems,Membership function | Conference |
ISSN | Citations | PageRank |
1615-3871 | 5 | 0.69 |
References | Authors | |
1 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Witold Kosinski | 1 | 65 | 10.57 |
Piotr Prokopowicz | 2 | 67 | 8.44 |
Dominik Ślęzak | 3 | 553 | 50.04 |