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
Soft Computing
Erschienen in: Soft Computing 6/2012

01.06.2012 | Original Paper

Analyzing the solution of a system of fuzzy linear equations by a fuzzy distance

verfasst von: Majid Amirfakhrian

Erschienen in: Soft Computing | Ausgabe 6/2012

Einloggen

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

search-config
loading …

Abstract

We introduce a fuzzy norm on a subset of all fuzzy numbers by a distance and we use it to analyze an approximate solution of a system of fuzzy linear equations. By a theorem we give two error bounds for error of an approximate solution of a system of fuzzy linear equations.
Vorheriger Artikel On the class of λ-statistically convergent difference sequences of fuzzy numbers
Nächster Artikel On mean shift-based clustering for circular data

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 "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

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
Literatur
Abbasbandy S, Amirfakhrian M (2006a) The nearest approximation of a fuzzy quantity in parametric form. Appl Math Comput 172:624–632MathSciNetMATHCrossRef
Abbasbandy S, Amirfakhrian M (2006b) The nearest trapezoidal form of a generalized left right fuzzy number. Int J Approx Reason 43:166–178MathSciNetMATHCrossRef
Abbasbandy S, Jafarian A, Ezzati R (2005) Conjugate gradient method for fuzzy symmetric positive definite system of linear equations. Appl Math Comput 171:1184–1191MathSciNetMATHCrossRef
Abbasbandy S, Ezzati R, Jafarian A (2006) LU decomposition method for solving fuzzy system of linear equations. Appl Math Comput 172:633–643MathSciNetMATHCrossRef
Amirfakhrian M (2007) Numerical solution of fuzzy linear system of equations with polynomial parametric form. Int J Comput Math 84:1089–1097MathSciNetMATHCrossRef
Amirfakhrian M (2010a) Properties of parametric form approximation operator of fuzzy numbers. Analele Stiintifice ale Universitatii Ovidius Constanta 18:23–34MathSciNetMATH
Amirfakhrian M (2010b) Numerical solution of a system of polynomial parametric form fuzzy linear equations, chap 24. In: Ferroelectrics. INTECH, India
Atkinson K (1989) An introduction to numerical analysis, 2nd edn. Wiley, New YorkMATH
Ban A (2008) Approximation of fuzzy numbers by trapezoidal fuzzy numbers preserving the expected interval. Fuzzy Sets Syst 159:1327–1344MathSciNetMATHCrossRef
Ban AI (2009) Triangular and parametric approximations of fuzzy numbers-inadvertences and corrections. Fuzzy Sets Syst 160:3048–3058MathSciNetMATHCrossRef
Bertoluzza C, Corral N, Salas A (1995) On a new class of distances between fuzzy numbers.. Mathware Soft Comput 2:71–84MathSciNetMATH
Chong-Xin W, Ming M (1991) Embedding problem of of fuzzy number space: part I. Fuzzy Sets Syst 44:33–38CrossRef
Das NR, Pankaja Das (1999) Fuzzy topology generated by fuzzy norm. Fuzzy Sets Syst 107:349–354MATHCrossRef
Dehghan M, Hashemi B (2006b) Solution of the fully fuzzy linear systems using the decomposition procedure. Appl Math Comput 182:1568–1580MathSciNetMATHCrossRef
Dubois D, Prade H (1980b) Fuzzy sets and systems: theory and application. Academic Press, New York
Ghanbari R, Mahdavi-Amiri N (2010) New solutions of LR fuzzy linear systems using ranking functions and ABS algorithms. Appl Math Model 34:3363–3375MathSciNetMATHCrossRef
Gill PE, Murray W, Wright MH (1991) Numerical linear algebra and optimization. Addison-Wesley
Golub GH, Van Loan CF (1996) Matrix computations, 3rd edn. The Johns Hopkins University Press
Grzegorzewski P (2008) Trapezoidal approximations of fuzzy numbers preserving the expected interval: algorithms and properties. Fuzzy Sets Syst 159:1354–1364MathSciNetMATHCrossRef
Grzegorzewski P, Mrówka P (2005) Trapezoidal approximations of fuzzy numbers. Fuzzy Sets Syst 153:115–135MATHCrossRef
Grzegorzewski P, Mrówka E (2007) Trapezoidal approximations of fuzzy numbers-revisited. Fuzzy Sets Syst 158:757–768MATHCrossRef
Horck R (2008) Solution of a system of linear equations with fuzzy numbers. Fuzzy Sets Syst 159:1788–1810CrossRef
Jian-Xin L (1994) On an algorithm for solving fuzzy linear systems. Fuzzy Sets Syst 61:369–371MATHCrossRef
Liua X, Lin H (2007) Parameterized approximation of fuzzy number with minimum variance weighting functions. Math Comput Model 46:1398–1409CrossRef
Muzzioli S, Reynaerts H (2007) The solution of fuzzy linear systems by non-linear programming: a financial application. Eur J Oper Res 177:1218–1231MATHCrossRef
Vroman A, Deschrijver G, Kerre EE (2007) Solving systems of linear fuzzy equations by parametric functions: an improved algorithm. Fuzzy Sets Syst 158:1515–1534MathSciNetMATHCrossRef
Wang X, Zhong Z, Ha M (2001) Iteration algorithms for solving a system of fuzzy linear equations. Fuzzy Sets Syst 119:121–128MathSciNetMATHCrossRef
Yeh CT (2007) A note on trapezoidal approximations of fuzzy numbers. Fuzzy Sets Syst 158:747–754MATHCrossRef
Yeh CT (2008) Trapezoidal and triangular approximations preserving the expected interval. Fuzzy Sets Syst 159:1345–1353MATHCrossRef
Zimmermann HJ (1991) Fuzzy set theory and its applications, 2nd edn. Kluwer, BostonMATH
Metadaten
Titel
Analyzing the solution of a system of fuzzy linear equations by a fuzzy distance
verfasst von
Majid Amirfakhrian
Publikationsdatum
01.06.2012
Verlag
Springer-Verlag
Erschienen in
Soft Computing / Ausgabe 6/2012
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-012-0801-0

Weitere Artikel der Ausgabe 6/2012

Soft Computing 6/2012 Zur Ausgabe

Original Paper

Improved Izhikevich neurons for spiking neural networks

Original Paper

On mean shift-based clustering for circular data

Original Paper

Design of particle-reinforced polyurethane mould materials for soft tooling process using evolutionary multi-objective optimization algorithms

Original Paper

An improved cooperative quantum-behaved particle swarm optimization

Original Paper

Polyadic tense $$\theta$$ -valued $$\L$$ ukasiewicz–Moisil algebras

Original Paper

Combining seasonal ARIMA models with computational intelligence techniques for time series forecasting