Title :
Yet another axiomization of fuzzy set theory
Author :
Wierman, Mark J.
Author_Institution :
Creighton Univ., Omaha, NE, USA
Abstract :
It has long been recognized that lattices allow for a generalization of many of the concepts of a fuzzy set. It is possible to generalize lattices to sets with an arbitrary relation if this relation has certain properties. While these properties induce a lattice they also point to an alternate mechanism to axiomatize fuzzy set theory. These axioms produce a simpler mathematical foundation for fuzzy set theory research.
Keywords :
fuzzy set theory; generalisation (artificial intelligence); lattice theory; fuzzy set theory axiomization; lattice generalization; mathematical model; FAA; Fuzzy set theory; Fuzzy sets; Lattices;
Conference_Titel :
Fuzzy Information, 2004. Processing NAFIPS '04. IEEE Annual Meeting of the
Print_ISBN :
0-7803-8376-1
DOI :
10.1109/NAFIPS.2004.1336289
