Skip to main content
Erschienen in: International Journal of Machine Learning and Cybernetics 2/2017

27.11.2015 | Original Article

Interval-valued neutrosophic soft sets and its decision making

verfasst von: Irfan Deli

Erschienen in: International Journal of Machine Learning and Cybernetics | Ausgabe 2/2017

Einloggen

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

search-config
loading …

Abstract

In this paper, the notion of the interval valued neutrosophic soft set (ivn-soft sets) is defined which is a combination of an interval valued neutrosophic set [35] and a soft set [29]. Our ivn-soft sets generalizes the concept of the soft set, fuzzy soft set, interval valued fuzzy soft set, intuitionistic fuzzy soft set, interval valued intuitionistic fuzzy soft set and neutrosophic soft set. Then, we introduce some definitions and operations on ivn-soft sets sets. Some properties of ivn-soft sets which are connected to operations have been established. Also, the aim of this paper is to investigate the decision making based on ivn-soft sets by level soft sets. Therefore, we develop a decision making methods and then give a example to illustrate the developed approach.

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!

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!

Weitere Produktempfehlungen anzeigen
Literatur
4.
Zurück zum Zitat Awang MI, Rose ANM, Herawan T, Deris MM (2010) Soft set approach for selecting decision attribute in data clustering. In: Advanced data mining and applications lecture notes in computer science, vol 6441, pp 87–98 Awang MI, Rose ANM, Herawan T, Deris MM (2010) Soft set approach for selecting decision attribute in data clustering. In: Advanced data mining and applications lecture notes in computer science, vol 6441, pp 87–98
7.
Zurück zum Zitat Broumi S, Smarandache F (2013) Intuitionistic neutrosophic soft set. J Inf Comput Sci 8(2):130–140 Broumi S, Smarandache F (2013) Intuitionistic neutrosophic soft set. J Inf Comput Sci 8(2):130–140
8.
Zurück zum Zitat Çağman, Karataş S, Enginoğlu S (2011) Soft topology. Comput Math Appl 62:351–358 Çağman, Karataş S, Enginoğlu S (2011) Soft topology. Comput Math Appl 62:351–358
9.
Zurück zum Zitat Çağman N, Erdoğan F, Enginoğlu S (2011) FP-soft set theory and its applications. Ann Fuzzy Math Inf 2(2):219–226MathSciNetMATH Çağman N, Erdoğan F, Enginoğlu S (2011) FP-soft set theory and its applications. Ann Fuzzy Math Inf 2(2):219–226MathSciNetMATH
11.
Zurück zum Zitat Çağman N, Deli I (2012) Means of FP-soft sets and its applications. Hacet J Math Stat 41(5):615–625MathSciNetMATH Çağman N, Deli I (2012) Means of FP-soft sets and its applications. Hacet J Math Stat 41(5):615–625MathSciNetMATH
12.
Zurück zum Zitat Çağman N, Erdoğan F, Enginoğlu S (2011) FP-soft set theory and its applications. Ann Fuzzy Math Inf 2(2):219–226MathSciNetMATH Çağman N, Erdoğan F, Enginoğlu S (2011) FP-soft set theory and its applications. Ann Fuzzy Math Inf 2(2):219–226MathSciNetMATH
15.
Zurück zum Zitat Feng F, Li C, Davvaz B, Irfan Ali M (2010) Soft sets combined with fuzzy sets and rough sets: a tentative approach. Soft Comput 14:899–911CrossRefMATH Feng F, Li C, Davvaz B, Irfan Ali M (2010) Soft sets combined with fuzzy sets and rough sets: a tentative approach. Soft Comput 14:899–911CrossRefMATH
16.
Zurück zum Zitat Feng F, Jun YB, Liu X, Li L (2010) An adjustable approach to fuzzy soft sets based decision making. J Comput Appl Math 234:10–20MathSciNetCrossRefMATH Feng F, Jun YB, Liu X, Li L (2010) An adjustable approach to fuzzy soft sets based decision making. J Comput Appl Math 234:10–20MathSciNetCrossRefMATH
17.
Zurück zum Zitat Jiang Y, Tang Y, Chen Q, Liu H, Tang J (2010) Interval-valued intuitionistic fuzzy soft sets and their properties. Comput Math Appl 60:906–918MathSciNetCrossRefMATH Jiang Y, Tang Y, Chen Q, Liu H, Tang J (2010) Interval-valued intuitionistic fuzzy soft sets and their properties. Comput Math Appl 60:906–918MathSciNetCrossRefMATH
18.
Zurück zum Zitat Jiang Y, Tang Y, Chen Q (2011) An adjustable approach to intuitionistic fuzzy soft sets based decision making. Appl Math Model 35:824–836MathSciNetCrossRefMATH Jiang Y, Tang Y, Chen Q (2011) An adjustable approach to intuitionistic fuzzy soft sets based decision making. Appl Math Model 35:824–836MathSciNetCrossRefMATH
19.
Zurück zum Zitat Karaaslan F, Çağman N, Enginoğlu S (2012) Soft lattices. J New Results Sci 1:5–17 Karaaslan F, Çağman N, Enginoğlu S (2012) Soft lattices. J New Results Sci 1:5–17
21.
23.
Zurück zum Zitat Maji PK, Roy AR, Biswas R (2004) On intuitionistic fuzzy soft sets. J Fuzzy Math 12(3):669–683MathSciNetMATH Maji PK, Roy AR, Biswas R (2004) On intuitionistic fuzzy soft sets. J Fuzzy Math 12(3):669–683MathSciNetMATH
24.
Zurück zum Zitat Maji PK (2012) A neutrosophic soft set approach to a decision making problem. Ann Fuzzy Math Inf 3(2):313–319MathSciNetMATH Maji PK (2012) A neutrosophic soft set approach to a decision making problem. Ann Fuzzy Math Inf 3(2):313–319MathSciNetMATH
27.
Zurück zum Zitat Mamat R, Herawan T, Deris MM (2013) MAR: maximum attribute relative of soft set for clustering attribute selection. Knowl Based Syst 52:11–20CrossRef Mamat R, Herawan T, Deris MM (2013) MAR: maximum attribute relative of soft set for clustering attribute selection. Knowl Based Syst 52:11–20CrossRef
30.
Zurück zum Zitat Molodtsov DA (2004) The theory of soft sets (in Russian). URSS Publishers, Moscow Molodtsov DA (2004) The theory of soft sets (in Russian). URSS Publishers, Moscow
31.
Zurück zum Zitat Nagarajan EKR, Meenambigai G (2011) An application of soft sets to lattices. Kragujev J Math 35(1):75–87MathSciNetMATH Nagarajan EKR, Meenambigai G (2011) An application of soft sets to lattices. Kragujev J Math 35(1):75–87MathSciNetMATH
33.
Zurück zum Zitat Smarandache F (2005) Neutrosophic set, a generalisation of the intuitionistic fuzzy sets. Int J Pure Appl Math 24:287–297MathSciNetMATH Smarandache F (2005) Neutrosophic set, a generalisation of the intuitionistic fuzzy sets. Int J Pure Appl Math 24:287–297MathSciNetMATH
35.
Zurück zum Zitat Wang H, Smarandache F, Zhang YQ, Sunderraman R (2005) Interval Neutrosophic Sets and Logic: Theory and Applications in Computing. In: Neutrosophic book series, vol 5. Hexis, Arizona Wang H, Smarandache F, Zhang YQ, Sunderraman R (2005) Interval Neutrosophic Sets and Logic: Theory and Applications in Computing. In: Neutrosophic book series, vol 5. Hexis, Arizona
36.
Zurück zum Zitat Wang H, Smarandache F, Zhang YQ, Sunderraman R (2010) Single valued neutrosophic sets. Multispace Multistructure 4:410–413MATH Wang H, Smarandache F, Zhang YQ, Sunderraman R (2010) Single valued neutrosophic sets. Multispace Multistructure 4:410–413MATH
37.
Zurück zum Zitat Şerife Yılmaz, Kazancı O (2013) Soft lattices(ideals, filters) related to fuzzy point. In: U.P.B. Scientific Bulletin, Series A, 75/ 3, pp 75–90 Şerife Yılmaz, Kazancı O (2013) Soft lattices(ideals, filters) related to fuzzy point. In: U.P.B. Scientific Bulletin, Series A, 75/ 3, pp 75–90
40.
Zurück zum Zitat Zhang Z, Wang C, Tian D, Li K (2014) A novel approach to interval-valued intuitionistic fuzzy soft set based decision making. Appl Math Model 38:1255–1270MathSciNetCrossRef Zhang Z, Wang C, Tian D, Li K (2014) A novel approach to interval-valued intuitionistic fuzzy soft set based decision making. Appl Math Model 38:1255–1270MathSciNetCrossRef
Metadaten
Titel
Interval-valued neutrosophic soft sets and its decision making
verfasst von
Irfan Deli
Publikationsdatum
27.11.2015
Verlag
Springer Berlin Heidelberg
Erschienen in
International Journal of Machine Learning and Cybernetics / Ausgabe 2/2017
Print ISSN: 1868-8071
Elektronische ISSN: 1868-808X
DOI
https://doi.org/10.1007/s13042-015-0461-3

Weitere Artikel der Ausgabe 2/2017

International Journal of Machine Learning and Cybernetics 2/2017 Zur Ausgabe

Neuer Inhalt