Paper Info
Title
On rational fuzzy implication functions
Abstract
The proposal of new classes of fuzzy implication functions must take into account the final expression of the operator to be potentially used in a concrete application. In particular, fuzzy implication functions with simple expressions have low computational cost and they reduce the spreading of numerical errors. Following this line of research, in this work, the class of fuzzy rational implications is introduced as those fuzzy implication functions whose expression is given by the quotient of two polynomials of two variables. Since not all quotients of polynomials are adequate to generate a fuzzy implication function, some necessary properties related to the values of the coefficients of the polynomials are given to ensure obtaining a fuzzy implication function. In addition, we characterize all fuzzy rational implications constructed from polynomials of some fixed degrees. Finally, several construction methods of these implications and relationships with other families of fuzzy implication functions are given.
Year
DOI
Venue
2016
10.1109/FUZZ-IEEE.2016.7737697
2016 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)
Keywords
Field
DocType
rational fuzzy implication functions,operator final expression,polynomials coefficient values
Discrete mathematics,Algebra,Defuzzification,Fuzzy classification,Control theory,Fuzzy set operations,Fuzzy measure theory,Fuzzy mathematics,Fuzzy subalgebra,Type-2 fuzzy sets and systems,Fuzzy number,Mathematics
Conference
ISSN
ISBN
Citations 
1544-5615
978-1-5090-0627-4
0
PageRank 
References 
Authors
0.34
8
3
Name
Order
Citations
PageRank
Sebastià Massanet143834.95
Juan Vicente Riera232019.40
Daniel Ruiz-Aguilera334525.56