Title
On the characterizations of fuzzy XNOR connectives.
Abstract
The fuzzy XNOR connective, as the dual construction of the fuzzy symmetric difference operator, has been defined and discussed by Li, Qin and He [18]. The aim of this paper is to give a systematic investigation of properties and structures of fuzzy XNOR connectives. The main results are: (1) It is proved that the biresiduation of a t-norm is indeed a fuzzy XNOR connective. (2) The structures and properties for biresiduations and two canonical constructions of fuzzy XNOR connectives given in [18] are examined. The associativity of fuzzy XNOR connectives is specially investigated. (3) Three additional ways of constructing fuzzy XNOR connectives are proposed.
Year
DOI
Venue
2017
10.3233/JIFS-16845
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
Keywords
Field
DocType
Symmetric difference operator,equivalence operator,fuzzy XNOR connective,t-Norm,t-Conorm,fuzzy negation
XNOR gate,Fuzzy logic,Arithmetic,Artificial intelligence,Mathematics,Machine learning
Journal
Volume
Issue
ISSN
32
3
1064-1246
Citations 
PageRank 
References 
0
0.34
13
Authors
4
Name
Order
Citations
PageRank
Xingxing He18413.90
Yingfang Li2687.41
Keyun Qin348039.80
Dan Meng447667.10