Paper Info
Title
Can We Detect Crisp Sets Based Only on the Subsethood Ordering of Fuzzy Sets? Fuzzy Sets and/or Crisp Sets Based on Subsethood of Interval-Valued Fuzzy Sets?
Abstract
Fuzzy sets are naturally ordered by the subsethood relation A subset of B. If we only know which set which fuzzy set is a subset of which and have no access to the actual values of the corresponding membership functions - can we detect which fuzzy sets are crisp? In this paper, we show that this is indeed possible. We also show that if we start with interval-valued fuzzy sets, then we can similarly detect type-1 fuzzy sets and crisp sets.
Year
DOI
Venue
2017
10.1007/978-3-319-67137-6_35
FUZZY LOGIC IN INTELLIGENT SYSTEM DESIGN: THEORY AND APPLICATIONS
Field
DocType
Volume
Discrete mathematics,Computer science,Fuzzy set,Artificial intelligence
Conference
648
ISSN
Citations 
PageRank 
2194-5357
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Christian Servin1510.39
Gerardo Muela201.01
Vladik Kreinovich31091281.07