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Square and triangle: reflections on two prominent mathematical structures for the representation of imprecision

Chris Cornelis UGent, Glad Deschrijver and Etienne Kerre UGent (2003) Notes on Intuitionistic Fuzzy Sets. 9(3). p.11-21
abstract
In this paper, Ginsberg's/Fitting's theory of bilattices, and in particular the associated constructs of bilattice-based squares and triangles, is invoked as a natural accommodation and powerful generalization to both intuitionistic fuzzy sets (IFSs) and interval-valued fuzzy sets (IVFSs), serving on one hand to clarify the exact nature of the relationship between these two common extensions of fuzzy sets, while on the other hand providing a general framework for the representation of uncertain and potentially conflicting information. Close attention is also paid to the definition of adequate graded versions of basic logical connectives in this setting.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
graded logical connectives, bilattices, interval-valued fuzzy sets, intuitionistic fuzzy sets
journal title
Notes on Intuitionistic Fuzzy Sets
volume
9
issue
3
pages
11-21 pages
ISSN
1310-4926
language
English
UGent publication?
yes
classification
A2
id
208231
handle
http://hdl.handle.net/1854/LU-208231
date created
2008-01-11 10:41:00
date last changed
2016-12-19 15:38:03
@article{208231,
  abstract     = {In this paper, Ginsberg's/Fitting's theory of bilattices, and in particular the associated constructs of bilattice-based squares and triangles, is invoked as a natural accommodation and powerful generalization to both intuitionistic fuzzy sets (IFSs) and interval-valued fuzzy sets (IVFSs), serving on one hand to clarify the exact nature of the relationship between these two common extensions of fuzzy sets, while on the other hand providing a general framework for the representation of uncertain and potentially conflicting information. Close attention is also paid to the definition of adequate graded versions of basic logical connectives in this setting.},
  author       = {Cornelis, Chris and Deschrijver, Glad and Kerre, Etienne},
  issn         = {1310-4926},
  journal      = {Notes on Intuitionistic Fuzzy Sets},
  keyword      = {graded logical connectives,bilattices,interval-valued fuzzy sets,intuitionistic fuzzy sets},
  language     = {eng},
  number       = {3},
  pages        = {11--21},
  title        = {Square and triangle: reflections on two prominent mathematical structures for the representation of imprecision},
  volume       = {9},
  year         = {2003},
}

Chicago
Cornelis, Chris, Glad Deschrijver, and Etienne Kerre. 2003. “Square and Triangle: Reflections on Two Prominent Mathematical Structures for the Representation of Imprecision.” Notes on Intuitionistic Fuzzy Sets 9 (3): 11–21.
APA
Cornelis, Chris, Deschrijver, G., & Kerre, E. (2003). Square and triangle: reflections on two prominent mathematical structures for the representation of imprecision. Notes on Intuitionistic Fuzzy Sets, 9(3), 11–21.
Vancouver
1.
Cornelis C, Deschrijver G, Kerre E. Square and triangle: reflections on two prominent mathematical structures for the representation of imprecision. Notes on Intuitionistic Fuzzy Sets. 2003;9(3):11–21.
MLA
Cornelis, Chris, Glad Deschrijver, and Etienne Kerre. “Square and Triangle: Reflections on Two Prominent Mathematical Structures for the Representation of Imprecision.” Notes on Intuitionistic Fuzzy Sets 9.3 (2003): 11–21. Print.