Title :
Constructions and classifications on involutive residuated semigroups
Author_Institution :
Inst. of Math. & Inf., Univ. of Pecs, Pecs, Hungary
Abstract :
Classification results of residuated lattices are presented in this paper along with some construction methods. Recent results are the classification of some classes of finite, involutive FLe-algebras, of strongly involutive uninorm algebras, and of absorbent-continuous, sharp FLe-algebras on weakly real chains. A new ordinal sum construction in introduced which constructs sharp, involutive FLe-algebras.
Keywords :
group theory; pattern classification; absorbent-continuous; construction methods; finite classes; involutive residuated semigroups; involutive uninorm algebras; ordinal sum construction; residuated lattices; sharp FLe-algebras; weakly real chains; Educational institutions; Fuzzy sets; Informatics; Lattices; Presses; Topology; Residuated lattice; classification; generalized ordinal sum; involutive FLe-algebra; twin-rotation;
Conference_Titel :
Intelligent Systems and Informatics (SISY), 2012 IEEE 10th Jubilee International Symposium on
Conference_Location :
Subotica
Print_ISBN :
978-1-4673-4751-8
Electronic_ISBN :
978-1-4673-4749-5
DOI :
10.1109/SISY.2012.6339576
