Abstract | ||
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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 |
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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 Trillas | 1 | 387 | 70.95 |
Claudi Alsina | 2 | 79 | 17.18 |
Ana Pradera | 3 | 159 | 16.09 |