Homomorphisms on the monoid of fuzzy implications (II, *) - A complete characterization
Homomorphisms on the monoid of fuzzy implications (II, *) - A complete characterization
| dc.contributor.author | Vemuri, Nageswara Rao | |
| dc.contributor.author | Jayaram, Balasubramaniam | |
| dc.date.accessioned | 2022-03-27T04:08:31Z | |
| dc.date.available | 2022-03-27T04:08:31Z | |
| dc.date.issued | 2013-12-01 | |
| dc.description.abstract | In [4], we had proposed a novel generating methods of fuzzy implications and investigated algebraic structures on the set of all fuzzy implications, which is denoted by II. Again in [5], we had defined a particular function gK on the monoid (II, *) (See Def. 16) and characterised the function K for which gK is a semigroup homomorphism (s.g.h) in two special cases, i.e., K is with trivial range and K (1, y ) = y for all y ∈ [0, 1](neutrality property). In this work we characterise the nontrivial range non neutral implications K such that gK is an s.g.h. and also present their representations. © Springer-Verlag 2013. | |
| dc.identifier.citation | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). v.8251 LNCS | |
| dc.identifier.issn | 03029743 | |
| dc.identifier.uri | 10.1007/978-3-642-45062-4_78 | |
| dc.identifier.uri | http://link.springer.com/10.1007/978-3-642-45062-4_78 | |
| dc.identifier.uri | https://dspace.uohyd.ac.in/handle/1/6470 | |
| dc.subject | Fuzzy implication | |
| dc.subject | Homomorphism | |
| dc.subject | Neutrality property | |
| dc.title | Homomorphisms on the monoid of fuzzy implications (II, *) - A complete characterization | |
| dc.type | Book Series. Conference Paper | |
| dspace.entity.type |
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