Title :
On a class of Fuzzy Set Theories
Author :
Trillas, Enric ; Alsina, Claudi ; Pradera, Ana
Author_Institution :
Eur. Centre for Soft Comput., Mieres
Abstract :
This paper studies the main properties of a broad class of Fuzzy Set Theories that we call Minimal Fuzzy Set Theories. We investigate the fulfillment of well-known properties, such as idempotency or the existence of absorbent elements. The paper shows, in particular, that these theories do always verify the Kleene´s law, as well as the Non-Contradiction and Excluded-Middle principles when these are understood as in ancient logic.
Keywords :
fuzzy logic; fuzzy set theory; Kleene´s law verification; ancient logic; excluded-middle principles; minimal fuzzy set theory; noncontradiction principles; Concrete; Fuzzy set theory; Fuzzy sets; Lattices; Logic; Proposals;
Conference_Titel :
Fuzzy Systems Conference, 2007. FUZZ-IEEE 2007. IEEE International
Conference_Location :
London
Print_ISBN :
1-4244-1209-9
Electronic_ISBN :
1098-7584
DOI :
10.1109/FUZZY.2007.4295351
