Title
On algebraic operations on fuzzy numbers
Abstract
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
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 Kosinski16510.57
Piotr Prokopowicz2678.44
Dominik Ślęzak355350.04