Skip to main content
Top
Published in: Soft Computing 17/2019

01-08-2018 | Methodologies and Application

On Pythagorean fuzzy soft matrices, operations and their applications in decision making and medical diagnosis

Authors: Abhishek Guleria, Rakesh Kumar Bajaj

Published in: Soft Computing | Issue 17/2019

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In the present communication, we introduce Pythagorean fuzzy soft matrix and its various possible types. Some binary operations and various properties over the matrices are also being defined with their proof of validity. Further, the Pythagorean fuzzy soft matrices have been taken into account for proposing a new algorithm for decision making by using choice matrix and weighted choice matrix. In addition to this, an algorithm for medical diagnosis problem by making use of score matrix and utility matrix has also been proposed. Numerical examples for each of the applications have been successfully illustrated. A comparative analysis with other existing methods has also been carried out.

Dont have a licence yet? Then find out more about our products and how to get one now:

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!

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!

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!

Literature
go back to reference Chen SM, Chang CH (2015) A novel similarity measure between Atanssovs intuitionistic fuzzy sets based on transformation techniques with applications to pattern recognition. Inf Sci 291:96–114CrossRef Chen SM, Chang CH (2015) A novel similarity measure between Atanssovs intuitionistic fuzzy sets based on transformation techniques with applications to pattern recognition. Inf Sci 291:96–114CrossRef
go back to reference Chetia B, Das PK (2012) Some results of Intuitionistic fuzzy soft matrix theory. Adv Appl Sci Res 3:412–423 Chetia B, Das PK (2012) Some results of Intuitionistic fuzzy soft matrix theory. Adv Appl Sci Res 3:412–423
go back to reference Klement EP, Mesiar R, Pap E (2004) Triangular norms. Position paper I: basic analytical and algebraic properties. Fuzzy Sets Syst 143:5–26MathSciNetCrossRefMATH Klement EP, Mesiar R, Pap E (2004) Triangular norms. Position paper I: basic analytical and algebraic properties. Fuzzy Sets Syst 143:5–26MathSciNetCrossRefMATH
go back to reference Mitchell HB (2013) On the Dengfeng–Chuntian similarity measure and its application to pattern recognition. Pattern Recogn Lett 24:3101–3104CrossRef Mitchell HB (2013) On the Dengfeng–Chuntian similarity measure and its application to pattern recognition. Pattern Recogn Lett 24:3101–3104CrossRef
go back to reference Peng X, Yang Y, Song J, Jiang Y (2015) Pythagorean fuzzy soft set and its application. Comput Eng 41:224–229 Peng X, Yang Y, Song J, Jiang Y (2015) Pythagorean fuzzy soft set and its application. Comput Eng 41:224–229
go back to reference Peng X, Yuan H, Yang Y (2017) Pythagorean fuzzy information measures and their applications. Int J Intell Syst 32(10):991–1029CrossRef Peng X, Yuan H, Yang Y (2017) Pythagorean fuzzy information measures and their applications. Int J Intell Syst 32(10):991–1029CrossRef
go back to reference Szmidt E, Kacprzyk J (2004) A similarity measure for intuitionistic fuzzy sets and its application in supporting medical diagnostic reasoning. In: International conference artificial intelligence and soft computing, Zakopane, Poland, pp 388–393 Szmidt E, Kacprzyk J (2004) A similarity measure for intuitionistic fuzzy sets and its application in supporting medical diagnostic reasoning. In: International conference artificial intelligence and soft computing, Zakopane, Poland, pp 388–393
go back to reference Wei CP, Wang P, Zhang YZ (2011) Entropy, similarity measure of interval-valued intuitionistic fuzzy sets and their applications. Inf Sci 181:4273–4286MathSciNetCrossRefMATH Wei CP, Wang P, Zhang YZ (2011) Entropy, similarity measure of interval-valued intuitionistic fuzzy sets and their applications. Inf Sci 181:4273–4286MathSciNetCrossRefMATH
go back to reference Yager RR (2013) Pythagorean fuzzy subsets. In: Proceedings of joint IFSA world congress and NAFIPS annual meeting, Edmonton, Canada, pp 57–61 Yager RR (2013) Pythagorean fuzzy subsets. In: Proceedings of joint IFSA world congress and NAFIPS annual meeting, Edmonton, Canada, pp 57–61
go back to reference Yong Y, Chenli J (2011) Fuzzy soft matrices and their applications. Lect Notes Comput Sci 7002:618–627CrossRef Yong Y, Chenli J (2011) Fuzzy soft matrices and their applications. Lect Notes Comput Sci 7002:618–627CrossRef
Metadata
Title
On Pythagorean fuzzy soft matrices, operations and their applications in decision making and medical diagnosis
Authors
Abhishek Guleria
Rakesh Kumar Bajaj
Publication date
01-08-2018
Publisher
Springer Berlin Heidelberg
Published in
Soft Computing / Issue 17/2019
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-018-3419-z

Other articles of this Issue 17/2019

Soft Computing 17/2019 Go to the issue

Premium Partner