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Polynomial constructions of fuzzy implication functions: The quadratic case
- Source :
- Information Sciences. 494:60-79
- Publication Year :
- 2019
- Publisher :
- Elsevier BV, 2019.
-
Abstract
- In the last decade, several new construction methods of fuzzy implication functions from one or more given ones have been proposed. Following this line of research, in our paper some construction methods based on polynomial functions of three variables are presented. Concretely, these methods provide a (possibly new) fuzzy implication function from a given one and a quadratic polynomial function. A complete characterization of those quadratic functions adequate to obtain a fuzzy implication function through this strategy is presented. Moreover, the invariant fuzzy implication functions with respect to this method are determined. Finally, some quadratic construction methods preserving some specific additional properties are analysed.
- Subjects :
- Information Systems and Management
05 social sciences
Fuzzy implication
050301 education
02 engineering and technology
Quadratic function
Computer Science Applications
Theoretical Computer Science
Quadratic equation
Artificial Intelligence
Control and Systems Engineering
0202 electrical engineering, electronic engineering, information engineering
Applied mathematics
020201 artificial intelligence & image processing
Invariant (mathematics)
0503 education
Software
Mathematics
Subjects
Details
- ISSN :
- 00200255
- Volume :
- 494
- Database :
- OpenAIRE
- Journal :
- Information Sciences
- Accession number :
- edsair.doi...........0cd789f1871180f2aa77db8e32c9f52c