Title
On A Class Of Fuzzy Set Theories
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.
Year
DOI
Venue
2007
10.1109/FUZZY.2007.4295351
2007 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, VOLS 1-4
Keywords
Field
DocType
fuzzy sets,lattices,fuzzy set theory,concrete,fuzzy logic,logic
Fuzzy classification,Fuzzy set operations,Computer science,Fuzzy set,Artificial intelligence,Fuzzy number,Discrete mathematics,Algebra,Fuzzy measure theory,Fuzzy logic,Fuzzy subalgebra,Type-2 fuzzy sets and systems,Machine learning
Conference
ISSN
Citations 
PageRank 
1098-7584
8
0.81
References 
Authors
2
3
Name
Order
Citations
PageRank
Enric Trillas138770.95
Claudi Alsina27917.18
Ana Pradera315916.09