Web-Geometric View on Uninorms and Structure of Some Special Classes View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2012

AUTHORS

Milan Petrík , Radko Mesiar

ABSTRACT

This paper studies the relation between associativity of uninorms and geometry of their level sets which is enabled by adopting the concepts of web geometry, a branch of differential geometry, and the Reidemeister closure condition. Based on this result, the structure of some special classes of uninorms is described. Namely, it is the class of uninorms with involutive underlying t-norms and t-conorms and the class of uninorms with involutive underlying t-norms and idempotent underlying t-conorm (as well as the corresponding dual cases). More... »

PAGES

370-378

References to SciGraph publications

Book

TITLE

Advances in Computational Intelligence

ISBN

978-3-642-31717-0
978-3-642-31718-7

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-642-31718-7_39

DOI

http://dx.doi.org/10.1007/978-3-642-31718-7_39

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1040703015


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