Perturbation of intuitionistic fuzzy relations

Citation
H. Bustince et P. Burillo, Perturbation of intuitionistic fuzzy relations, INT J UNC F, 9(1), 2001, pp. 81-103
Citations number
23
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS
ISSN journal
02184885 → ACNP
Volume
9
Issue
1
Year of publication
2001
Pages
81 - 103
Database
ISI
SICI code
0218-4885(200102)9:1<81:POIFR>2.0.ZU;2-I
Abstract
In this paper we present a way of perturbing reflexive, symmetric, antisymm etric, perfect antisymmetric, transitive and partially included intuitionis tic fuzzy relations afterward obtaining the perturbation of another reflexi ve, symmetric, antisymmetric, perfect antisymmetric, transitive and partial ly included intuitionistic fuzzy relation. To do so we study the main prope rties of an operator that allows us to go from an intuitionistic fuzzy set to another also intuitionistic fuzzy set, we then apply this operator to in tuitionistic fuzzy relations with different properties and we study the con ditions there must be for the new intuitionistic fuzzy relation to maintain the original properties.