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A generalization of operators on intuitionistic fuzzy sets using triangular norms and conorms

Glad Deschrijver and Etienne Kerre UGent (2002) Notes on Intuitionistic Fuzzy Sets. 8(1). p.19-27
abstract
Several operators on intuitionistic fuzzy sets, such as union, intersection, sum and product, have been defined using common triangular norms and conorms. In this paper we introduce and analyse the properties of a generalised union and a generalised intersection of intuitionistic fuzzy sets using a general t-norm and t-conorm. In particular we will investigate properties such as commutativity, associativity, distributivity, idempotency, Morgan-laws, and absorption laws.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
generalised union, intuitionistic fuzzy set, generalised intersection
journal title
Notes on Intuitionistic Fuzzy Sets
volume
8
issue
1
pages
19-27 pages
ISSN
1310-4926
language
English
UGent publication?
yes
classification
A2
id
161876
handle
http://hdl.handle.net/1854/LU-161876
date created
2004-01-14 13:39:00
date last changed
2016-12-19 15:38:24
@article{161876,
  abstract     = {Several operators on intuitionistic fuzzy sets, such as union, intersection, sum and product, have been de\unmatched{fb01}ned using common triangular norms and conorms. In this paper we introduce and analyse the properties of a generalised union and a generalised intersection of intuitionistic fuzzy sets using a general t-norm and t-conorm. In particular we will investigate properties such as commutativity, associativity, distributivity, idempotency, Morgan-laws, and absorption laws.},
  author       = {Deschrijver, Glad and Kerre, Etienne},
  issn         = {1310-4926},
  journal      = {Notes on Intuitionistic Fuzzy Sets},
  keyword      = {generalised union,intuitionistic fuzzy set,generalised intersection},
  language     = {eng},
  number       = {1},
  pages        = {19--27},
  title        = {A generalization of operators on intuitionistic fuzzy sets using triangular norms and conorms},
  volume       = {8},
  year         = {2002},
}

Chicago
Deschrijver, Glad, and Etienne Kerre. 2002. “A Generalization of Operators on Intuitionistic Fuzzy Sets Using Triangular Norms and Conorms.” Notes on Intuitionistic Fuzzy Sets 8 (1): 19–27.
APA
Deschrijver, Glad, & Kerre, E. (2002). A generalization of operators on intuitionistic fuzzy sets using triangular norms and conorms. Notes on Intuitionistic Fuzzy Sets, 8(1), 19–27.
Vancouver
1.
Deschrijver G, Kerre E. A generalization of operators on intuitionistic fuzzy sets using triangular norms and conorms. Notes on Intuitionistic Fuzzy Sets. 2002;8(1):19–27.
MLA
Deschrijver, Glad, and Etienne Kerre. “A Generalization of Operators on Intuitionistic Fuzzy Sets Using Triangular Norms and Conorms.” Notes on Intuitionistic Fuzzy Sets 8.1 (2002): 19–27. Print.