Paper Info
Title
Characterizing The 'Principles' Of Non Contradiction And Excluded Middle In [0,1]
Abstract
Under an interpretation of the principles of non-contradiction and excluded-middle based on the concept of self-contradiction, this paper mainly deals with the principles' verification in the case of the unit interval of the real line. Such verification is done in the three following cases: (1) The unit interval is totally ordered by the restriction to it of the usual order of the real line, (2) the unit interval is partially ordered by the sharpened order, and (3) the unit interval is under a new particular preorder. The first case is immediately extended to characterize the case of fuzzy sets.
Year
DOI
Venue
2010
10.1142/S021848851000643X
INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS
Keywords
Field
DocType
Non-contradiction, excluded middle, fuzzy sets, self-contradiction, unit interval
Discrete mathematics,Law of excluded middle,Real line,Preorder,Fuzzy set,Unit interval,Mathematics,Contradiction
Journal
Volume
Issue
ISSN
18
2
0218-4885
Citations 
PageRank 
References 
2
0.67
2
Authors
2
Name
Order
Citations
PageRank
Itziar García-Honrado1277.03
Enric Trillas238770.95