File(s) under permanent embargo
Vector valued similarity measures for Atanassov's intuitionistic fuzzy sets
journal contribution
posted on 2014-10-01, 00:00 authored by Gleb BeliakovGleb Beliakov, M Pagola, Tim WilkinTim WilkinWe present a new approach for defining similarity measures for Atanassov's intuitionistic fuzzy sets (AIFS), in which a similarity measure has two components indicating the similarity and hesitancy aspects. We justify that there are at least two facets of uncertainty of an AIFS, one of which is related to fuzziness while other is related to lack of knowledge or non-specificity. We propose a set of axioms and build families of similarity measures that avoid counterintuitive examples that are used to justify one similarity measure over another. We also investigate a relation to entropies of AIFS, and outline possible application of our method in decision making and image segmentation. © 2014 Elsevier Inc. All rights reserved.
History
Journal
Information sciencesVolume
280Pagination
352 - 367Publisher
Elsevier Inc.Location
Philadelphia, PAPublisher DOI
ISSN
0020-0255eISSN
1872-6291Language
engPublication classification
C Journal article; C1 Refereed article in a scholarly journalCopyright notice
2014, ElsevierUsage metrics
Categories
No categories selectedKeywords
Licence
Exports
RefWorks
BibTeX
Ref. manager
Endnote
DataCite
NLM
DC