Advanced search

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

Glad Deschrijver (UGent) and Etienne Kerre (UGent)
Author
Organization
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.
Keywords
generalised union, intuitionistic fuzzy set, generalised intersection

Citation

Please use this url to cite or link to this publication:

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.
@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},
}