Fuzzy Implications: Past, Present, and Future

Baczynski, Michał and Jayaram, Balasubramaniam and Massanet, Sebastia and Torrens, Joan (2015) Fuzzy Implications: Past, Present, and Future. In: Springer Handbook of Computational Intelligence. Springer Handbook of Computational Intelligence . Springer, Berlin, pp. 183-202. ISBN 9783662435045

Full text not available from this repository. (Request a copy)


Fuzzy implications are a generalization of the classical two-valued implication to the multi-valued setting. They play a very important role both in the theory and applications, as can be seen from their use in, among others, multivalued mathematical logic, approximate reasoning, fuzzy control, image processing, and data analysis. The goal of this chapter is to present the evolution of fuzzy implications from their beginnings to the current days. From the theoretical point of view, we present the basic facts, as well as the main topics and lines of research around fuzzy implications. We also devote a specific section to state and recall a list of main application fields where fuzzy implications are employed, as well as another one to the main open problems on the topic.

[error in script]
IITH Creators:
IITH CreatorsORCiD
Jayaram, Balasubramaniamhttp://orcid.org/0000-0001-7370-3821
Item Type: Book Section
Uncontrolled Keywords: Aggregation Function, Residuated Lattice, Fuzzy Implication, Single Input Single Output, Fuzzy Logic Operation
Subjects: Mathematics
Divisions: Department of Mathematics
Depositing User: Team Library
Date Deposited: 29 Nov 2018 04:34
Last Modified: 29 Nov 2018 04:34
URI: http://raiith.iith.ac.in/id/eprint/4573
Publisher URL: http://doi.org/10.1007/978-3-662-43505-2_12
Related URLs:

Actions (login required)

View Item View Item
Statistics for RAIITH ePrint 4573 Statistics for this ePrint Item