Paper Info
Title
Interval-valued intuitionistic fuzzy implications - Construction, properties and representability.
Abstract
Firstly, this work studies the class of representable (co)implications obtained by idempotent aggregations and pair of dual interval functions, namely fuzzy implications and coimplications. Following the same construction, as the main contribution in the context of the interval-valued intuitionistic fuzzy logic, which is conceived by Atanassov, the class of representable Atanassov’s intuitionistic fuzzy implications is obtained by composition of idempotent interval aggregations and dual pairs of representable fuzzy implications and coimplications. Additionally, the conditions under which relevant properties of fuzzy implications and Atanassov’s intuitionistic fuzzy implications are preserved by such constructions are investigated. Furthermore, taking into account the projection functions and related (interval-valued) Atanassov’s intuitionistic fuzzy implications, it also shows that representable (interval-valued) Atanassov’s intuitionistic fuzzy implications preserve (degenerate) diagonal elements.
Year
DOI
Venue
2013
10.1016/j.ins.2013.06.020
Information Sciences
Keywords
Field
DocType
Fuzzy connectives and aggregation operator,Interval-valued fuzzy logic,Interval-valued intuitionistic implication,N-dual operator
Diagonal,Discrete mathematics,Fuzzy classification,Fuzzy set operations,Fuzzy logic,Fuzzy mathematics,Type-2 fuzzy sets and systems,Idempotence,Fuzzy number,Mathematics
Journal
Volume
ISSN
Citations 
248
0020-0255
13
PageRank 
References 
Authors
0.56
43
2
Name
Order
Citations
PageRank
Renata Hax Sander Reiser111010.90
Benjamín C. Bedregal275551.96