Skip to main content
Top
Published in: International Journal of Machine Learning and Cybernetics 5/2018

01-10-2016 | Original Article

Weighted fuzzy soft multiset and decision-making

Author: Ajoy Kanti Das

Published in: International Journal of Machine Learning and Cybernetics | Issue 5/2018

Log in

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

search-config
loading …

Abstract

Fuzzy soft multiset (FSMS) is a substantial and important fuzzy generalization of soft set and multiset (also called bag). In this paper, we have presented the idea of weighted fuzzy soft multiset (WFSMS) as a generalization of FSMS and its basic properties are to be studied. Also, we introduce a new adjustable approach to WFSMS based decision-making, for solving decision-making in an uncertain situation. The feasibility of our proposed WFSMS based decision-making procedure in practical application is read by a mathematical example.

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 "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!

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!

Show more products
Literature
1.
go back to reference Alhazaymeh K, Hassan N (2014) Vague soft multiset theory. Int J Pure Appl Math 93:511–523MATH Alhazaymeh K, Hassan N (2014) Vague soft multiset theory. Int J Pure Appl Math 93:511–523MATH
4.
6.
go back to reference Balami HM, Ibrahim AM (2013) Soft multiset and its application in information system. Int J Sci Res Manag 1:471–482 Balami HM, Ibrahim AM (2013) Soft multiset and its application in information system. Int J Sci Res Manag 1:471–482
9.
go back to reference Das AK (2015) Fuzzy soft multi relation and its properties. Int J Comput Sci Theor App 4:47–53 Das AK (2015) Fuzzy soft multi relation and its properties. Int J Comput Sci Theor App 4:47–53
11.
go back to reference Farhadinia B (2016) Multiple criteria decision-making methods with completely unknown weights in hesitant fuzzy linguistic term setting. Knowl-Based Syst 93:135–144CrossRef Farhadinia B (2016) Multiple criteria decision-making methods with completely unknown weights in hesitant fuzzy linguistic term setting. Knowl-Based Syst 93:135–144CrossRef
12.
16.
go back to reference Kong Z, Gao LQ, Wang LF (2009) Comment on a fuzzy soft set theoretic approach to decision making problems. J Comput Appl Math 223:540–542CrossRefMATH Kong Z, Gao LQ, Wang LF (2009) Comment on a fuzzy soft set theoretic approach to decision making problems. J Comput Appl Math 223:540–542CrossRefMATH
19.
20.
go back to reference Massanet S, Riera JV, Torrens J, Herrera-Viedma E (2014) A new linguistic computational model based on discrete fuzzy numbers for computing with words. Inf Sci 258:277–290MathSciNetCrossRefMATH Massanet S, Riera JV, Torrens J, Herrera-Viedma E (2014) A new linguistic computational model based on discrete fuzzy numbers for computing with words. Inf Sci 258:277–290MathSciNetCrossRefMATH
23.
go back to reference Morente-Molinera JA, Pérez IJ, Ureña MR, Herrera-Viedma E (2015) Building and managing fuzzy ontologies with heterogeneous linguistic information. Knowl-Based Syst 88:154–164CrossRef Morente-Molinera JA, Pérez IJ, Ureña MR, Herrera-Viedma E (2015) Building and managing fuzzy ontologies with heterogeneous linguistic information. Knowl-Based Syst 88:154–164CrossRef
24.
go back to reference Mukherjee A, Das AK (2015) Application of fuzzy soft multi sets in decision making problems. Smart Innovation Systems and Technologies, Springer Verlag, 43(1) 21–28 Mukherjee A, Das AK (2015) Application of fuzzy soft multi sets in decision making problems. Smart Innovation Systems and Technologies, Springer Verlag, 43(1) 21–28
25.
go back to reference Mukherjee A, Das AK (2013) Topological structure formed by fuzzy soft multi sets. Rev Bull Cal Math Soc 21:193–212MathSciNet Mukherjee A, Das AK (2013) Topological structure formed by fuzzy soft multi sets. Rev Bull Cal Math Soc 21:193–212MathSciNet
26.
go back to reference Mukherjee A, Das AK (2014) Topological structure formed by soft multi sets and soft multi compact space. Ann Fuzzy Math Inform 7:919–933MathSciNetMATH Mukherjee A, Das AK (2014) Topological structure formed by soft multi sets and soft multi compact space. Ann Fuzzy Math Inform 7:919–933MathSciNetMATH
27.
go back to reference Mukherjee A, Das AK (2015) Interval valued intuitionistic fuzzy soft multi set theoretic approach to decision making problems. In: Proceedings of the 2015 IEEE Int. Conf. on Comp. Comm. Cont., IEEE Xplore Digital Library, 1–5 (2015), doi: 10.1109/IC4.2015.7375640 Mukherjee A, Das AK (2015) Interval valued intuitionistic fuzzy soft multi set theoretic approach to decision making problems. In: Proceedings of the 2015 IEEE Int. Conf. on Comp. Comm. Cont., IEEE Xplore Digital Library, 1–5 (2015), doi: 10.​1109/​IC4.​2015.​7375640
28.
go back to reference Mukherjee A, Das AK (2015) Application of interval valued intuitionistic fuzzy soft set in investment decision making. In: Proceedings of the 2015 IEEE 5th Int. Conf. on Advances in Computing and Communications, 61–64, doi: 10.1109/ICACC.2015.37 Mukherjee A, Das AK (2015) Application of interval valued intuitionistic fuzzy soft set in investment decision making. In: Proceedings of the 2015 IEEE 5th Int. Conf. on Advances in Computing and Communications, 61–64, doi: 10.​1109/​ICACC.​2015.​37
29.
go back to reference Mukherjee A, Das AK (2015) Relations on intuitionistic fuzzy soft multi sets. Inf Sci Appl Lect Notes Electr Eng Springer 339:607–614 Mukherjee A, Das AK (2015) Relations on intuitionistic fuzzy soft multi sets. Inf Sci Appl Lect Notes Electr Eng Springer 339:607–614
30.
go back to reference Pérez IJ, Cabrerizo FJ, Alonso S, Herrera-Viedma E (2014) A new consensus model for group decision making problems with non homogeneous experts. IEEE Trans Syst Man Cybern Syst 44(4):494–498CrossRef Pérez IJ, Cabrerizo FJ, Alonso S, Herrera-Viedma E (2014) A new consensus model for group decision making problems with non homogeneous experts. IEEE Trans Syst Man Cybern Syst 44(4):494–498CrossRef
32.
go back to reference Roy AR, Maji PK (2007) A fuzzy soft set theoretic approach to decision making problems. J Comput Appl Math 203:412–418CrossRefMATH Roy AR, Maji PK (2007) A fuzzy soft set theoretic approach to decision making problems. J Comput Appl Math 203:412–418CrossRefMATH
Metadata
Title
Weighted fuzzy soft multiset and decision-making
Author
Ajoy Kanti Das
Publication date
01-10-2016
Publisher
Springer Berlin Heidelberg
Published in
International Journal of Machine Learning and Cybernetics / Issue 5/2018
Print ISSN: 1868-8071
Electronic ISSN: 1868-808X
DOI
https://doi.org/10.1007/s13042-016-0607-y

Other articles of this Issue 5/2018

International Journal of Machine Learning and Cybernetics 5/2018 Go to the issue