Conjunctors and their Residual Implicators: Characterizations and Construction Methods View Full Text


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Article Info

DATE

2007-10

AUTHORS

Fabrizio Durante, Erich Peter Klement, Radko Mesiar, Carlo Sempi

ABSTRACT

.In many practical applications of fuzzy logic it seems clear that one needs more flexibility in the choice of the conjunction: in particular, the associativity and the commutativity of a conjunction may be removed. Motivated by these considerations, we present several classes of conjunctors, i.e. binary operations on [0, 1] that are used to extend the boolean conjunction from {0, 1} to [0, 1], and characterize their respective residual implicators. We establish hence a one-to-one correspondence between construction methods for conjunctors and construction methods for residual implicators. Moreover, we introduce some construction methods directly in the class of residual implicators, and, by using a deresiduation procedure, we obtain new conjunctors. More... »

PAGES

343-356

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00009-007-0122-1

DOI

http://dx.doi.org/10.1007/s00009-007-0122-1

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1047385904


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