Title
Crisp sets as classes of discontinuous fuzzy sets
Abstract
This paper aims to show how, by using a threshold-based approach, a path from imprecise information to a crisp 'decision' can be developed. It deals with the problem of the logical transformation of a fuzzy set into a crisp set. Such threshold arises from the ideas of contradiction and separation, and allows us to prove that crisp sets can be structurally considered as classes of discontinuous fuzzy sets. It is also shown that continuous fuzzy sets are computationally indistinguishable from some kind of discontinuous fuzzy sets.
Year
DOI
Venue
2009
10.1016/j.ijar.2009.06.003
Int. J. Approx. Reasoning
Keywords
Field
DocType
imprecise information,threshold-based approach,fuzzy set,discontinuous fuzzy set,continuous fuzzy set,classes of fuzzy sets,logical transformation,crisp set,threshold of separation
Fuzzy classification,Defuzzification,Fuzzy set operations,Algorithm,Rough set,Fuzzy set,Type-2 fuzzy sets and systems,Fuzzy number,Membership function,Mathematics
Journal
Volume
Issue
ISSN
50
8
International Journal of Approximate Reasoning
Citations 
PageRank 
References 
1
0.44
4
Authors
4
Name
Order
Citations
PageRank
E. Trillas125020.35
Itziar García-Honrado2277.03
Sergio Guadarrama35705257.52
Eloy Renedo4165.34