Skip to main content
Fachgebiete
Automobil + Motoren Bauwesen + Immobilien Business IT + Informatik Elektrotechnik + Elektronik Energie + Nachhaltigkeit Finance + Banking Management + Führung Marketing + Vertrieb Maschinenbau + Werkstoffe Versicherung + Risiko
DE
EN
Bücher
Zeitschriften
Themenseiten
Organisationspsychologie Projektmanagement Marketing Smart Manufacturing
Weitere Formate
Podcasts Webinare Technik Webinare Wirtschaft Kongresse Veranstaltungskalender Awards
Jetzt Einzelzugang starten
Zugang für Unternehmen
Referenzkunden
SLX-Digitalkonferenz: Zukunftswerkstatt 2024

Mehr Umsatz mit Top-Kontakten

Am 7. Mai erfahren Sie, wie Vertriebsteams Leadgenerierung, Leadnurturing und Leadstrategien effizient steuern können.
Erweiterte Suche
Anmelden
nach oben
Pattern Analysis and Applications
Erschienen in: Pattern Analysis and Applications 3/2020

03.12.2019 | Theoretical advances

Similarity measures of picture fuzzy sets based on entropy and their application in MCDM

verfasst von: Nguyen Xuan Thao

Erschienen in: Pattern Analysis and Applications | Ausgabe 3/2020

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

An extension of fuzzy sets (Zadeh in Inf Control 8:338–353, 1965) and intuitionistic fuzzy sets (Atanassov in Fuzzy Sets Syst 20(1):87–96, 1986) is called picture fuzzy set (PFS). It is a useful tool to deal with uncertain and inconsistent information. The distance, entropy and similarity measures play a critical role in information theory. The similarity measures of picture fuzzy sets caused by entropy have been studied and given interesting results. In this paper, we first introduced the concept of entropy measure of PFS. At the same time, we also investigated some similarity measures induced by entropy measures and applied to propose the multi-criteria decision-making problem for selecting suppliers.
Vorheriger Artikel Instance-based entropy fuzzy support vector machine for imbalanced data
Nächster Artikel Ensemble Adaptation Networks with low-cost unsupervised hyper-parameter search

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Jetzt informieren
Literatur
1.
Atanassov KT (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20(1):87–96MATH
2.
Burillo P, Bustince H (1996) Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets. Fuzzy Sets Syst 78(3):305–316MathSciNetMATH
3.
Cuong BC (2014) Picture fuzzy sets. J Comput Sci Cybern 30(4):409–420
4.
Fan J, Xie W (1999) Distance measure and induced fuzzy entropy. Fuzzy Sets Syst 104(2):305–314MathSciNetMATH
5.
Garg H (2017) Some picture fuzzy aggregation operators and their applications to multicriteria decision-making. Arab J Sci Eng 42(12):5275–5290MathSciNetMATH
6.
Hoa ND, Son LH, Thong PH (2017) Some improvements of fuzzy clustering algorithms using picture fuzzy sets and applications for geographic data clustering. VNU J Sci Comput Sci Commun Eng 32(3):32–38
7.
Hung WL, Yang MS (2006) Fuzzy entropy on intuitionistic fuzzy sets. Int J Intell Syst 21(4):443–451MATH
8.
Jensen JLWV (1906) Sur les fonctions convexes et les inégalités entre les valeurs moyennes. Acta Math 30(1):175–193MathSciNetMATH
9.
Joshi R, Kumar S, Gupta D, Kaur H (2018) A Jensen-α-norm dissimilarity measure for intuitionistic fuzzy sets and its applications in multiple attribute decision making. Int J Fuzzy Syst 20(4):1188–1202MathSciNet
10.
Liang X, Wei C, Xia M (2013) New entropy, similarity measure of intuitionistic fuzzy sets and their applications in group decision making. Int J Comput Intell Syst 6(5):987–1001
11.
Nguyen XT, Nguyen VD, Nguyen DD (2014) Rough fuzzy relation on two universal sets. Int J Intell Syst Appl 6(4):49–55MATH
12.
Peng X, Dai J (2017) Algorithm for picture fuzzy multiple attribute decision-making based on new distance measure. Int J Uncertain Quantif 7(2):177–187MathSciNet
13.
Phong PH, Cuong BC (2017) Multi-criteria group decision making with picture linguistic numbers. VNU J Sci Comput Sci Commun Eng 32(3):39–53
14.
Qin Z, Li X, Ji X (2009) Portfolio selection based on fuzzy cross-entropy. J Comput Appl Math 228(1):139–149MathSciNetMATH
15.
Singh P (2015) Correlation coefficients for picture fuzzy sets. J Intell Fuzzy Syst 28(2):591–604MathSciNetMATH
16.
Son LH (2015) DPFCM: a novel picture fuzzy clustering method on picture fuzzy sets. Expert Syst Appl Int J 42(1):51–66
17.
Szmidt E, Kacprzyk J (2001) Entropy for intuitionistic fuzzy sets. Fuzzy Sets Syst 118(3):467–477MathSciNetMATH
18.
Thao NX (2018) A new correlation coefficient of the intuitionistic fuzzy sets and its application. J Intell Fuzzy Syst 35(2):1959–1968MathSciNet
19.
Thao NX, Dịnh NV (2015) Rough picture fuzzy set and picture fuzzy topologies. J Comput Sci Cybern 31(3):245–253
20.
Thao NX, Duong TTT (2019) Selecting target market by similar measures in interval intuitionistic fuzzy set. Technol Econ Dev Econ 25(5):934–950
21.
Thao NX, Smarandache F (2019) A new fuzzy entropy on pythagorean fuzzy sets. J Intell Fuzzy Syst 37(1):1065–1074
22.
Thao NX, Cuong BC, Ali M, Lan LH (2018) Fuzzy equivalence on standard and rough neutrosophic sets and applications to clustering analysis. In: Information systems design and intelligent applications. Springer, Singapore, pp 834–842
23.
Thao NX, Cuong BC, Smarandache F (2018) Rough standard neutrosophic sets: an application on standard neutrosophic information systems. J Fundam Appl Sci 10(4S):615–622
24.
Thao NX, Ali M, Smarandache F (2019) An intuitionistic fuzzy clustering algorithm based on a new correlation coefficient with application in medical diagnosis. J Intell Fuzzy Syst 36(1):189–198
25.
Thong PH, Son LH (2016) Picture fuzzy clustering: a new computational intelligence method. Soft Comput 20(9):3549–3562MATH
26.
Van Dinh N, Thao NX, Chau NM (2015) On the picture fuzzy database: theories and application. J Sci Dev 13(6):1028–1035
27.
Van Dinh N, Thao NX, Chau MN (2017) Distance and dissimilarity measure of picture fuzzy sets. In: FAIR’10, pp 104–109
28.
Verma R, Sharma B (2015) R-norm entropy on intuitionistic fuzzy sets. J Intell Fuzzy Syst 28(1):327–335MathSciNetMATH
29.
Wei G (2016) Picture fuzzy cross-entropy for multiple attribute decision making problems. J Bus Econ Manag 17(4):491–502MathSciNet
30.
Wei G (2017) Picture fuzzy aggregation operators and their application to multiple attribute decision making. J Intell Fuzzy Syst 33(2):713–724MATH
31.
Wei G (2017) Some cosine similarity measures for picture fuzzy sets and their applications to strategic decision making. Informatica 28(3):547–564MATH
32.
Wei G (2018) Some similarity measures for picture fuzzy sets and their applications. Iran J Fuzzy Syst 15(1):77–89MathSciNetMATH
33.
Wei G (2018) Picture fuzzy Hamacher aggregation operators and their application to multiple attribute decision making. Fundam Inf 157(3):271–320MathSciNetMATH
34.
Wei GW, Gao H (2018) The generalized Dice similarity measures for picture fuzzy sets and their applications. Informatica 29(1):107–124MathSciNetMATH
35.
Metadaten
Titel
Similarity measures of picture fuzzy sets based on entropy and their application in MCDM
verfasst von
Nguyen Xuan Thao
Publikationsdatum
03.12.2019
Verlag
Springer London
Erschienen in
Pattern Analysis and Applications / Ausgabe 3/2020
Print ISSN: 1433-7541
Elektronische ISSN: 1433-755X
DOI
https://doi.org/10.1007/s10044-019-00861-9

Weitere Artikel der Ausgabe 3/2020

Pattern Analysis and Applications 3/2020 Zur Ausgabe

Theoretical advances

Learning CNN features from DE features for EEG-based emotion recognition

Short paper

Segmentation of handwritten words using structured support vector machine

Short paper

Leveraging deep learning with symbolic sequences for robust head poses estimation

Theoretical advances

Encoding features from multi-layer Gabor filtering for visual smoke recognition

Original Article

Analysing the intermeshed patterns of road transportation and macroeconomic indicators through neural and clustering techniques

Theoretical advances

Ensemble Adaptation Networks with low-cost unsupervised hyper-parameter search