Abstract
In the previous chapters, Chaps. 2 and 3, we have dealt with five main families of fuzzy implication operations, viz., (S,N)-, R-, QL-, f- and g-implications. This chapter presents results regarding the intersections that exist among the above families of fuzzy implications. Firstly, we discuss the pair-wise intersections of the families from Chap. 2 and the intersections that exist among the Yager’s family of fuzzy implications in Chap. 3. Following this, we discuss the intersections that exist among the families of fuzzy implications across these two chapters, i.e., the intersections that exist among the Yager’s family of fuzzy implications, viz., f- and g-implications, with (S,N)-, R- and QL-implications.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Baczyński, M., Jayaram, B. (2008). Intersections between Families of Fuzzy Implications. In: Fuzzy Implications. Studies in Fuzziness and Soft Computing, vol 231. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69082-5_4
Download citation
DOI: https://doi.org/10.1007/978-3-540-69082-5_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-69080-1
Online ISBN: 978-3-540-69082-5
eBook Packages: EngineeringEngineering (R0)