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
Journal of Applied Mathematics and Computing
Erschienen in: Journal of Applied Mathematics and Computing 1-2/2019

14.07.2018 | Original Research

Solving fuzzy dual complex linear systems

verfasst von: M. Chehlabi

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1-2/2019

Einloggen

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

search-config
loading …

Abstract

The purpose of this paper is to provide a simple and practical method for finding the solution of the fuzzy complex square systems of order n, included of linear equations which are given in the dual form. For this end, the process of solving a fuzzy dual complex linear system is first described and the conditions of existence and uniqueness of solution is found. Next, the proposed method is appeared with the proof of two theorems and the process of the method is regulated and summarized by solving four real linear square systems of order n. Also, it is shown that the proposed method is efficient and effective in the point of view computationally. Finally, two numerical examples are presented to illustrate the applicability of the method.
Vorheriger Artikel Parameter-uniform fractional step hybrid numerical scheme for 2D singularly perturbed parabolic convection–diffusion problems
Nächster Artikel Matrix forms of iterative algorithms to solve large-scale discrete ill-posed problems with an application to image restoration

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
1.
Allahviranloo, T., Ghanbari, M.: On the algebraic solution of fuzzy linear systems based on interval theory. Appl. Math. Model. 36, 5360–5379 (2012)MathSciNetCrossRefMATH
2.
Amirfakhrian, M.: Analyzing the solution of a system of fuzzy linear equations by a fuzzy distance. Soft. Comput. 16, 1035–1041 (2012)CrossRefMATH
3.
Behera, D., Chakraverty, S.: A new method for solving real and complex fuzzy system of linear equations. Comput. Math. Model. 23, 507–518 (2012)MathSciNetCrossRefMATH
4.
Behera, D., Chakraverty, S.: Solution of fuzzy system of linear equations with polynomial parametric form. Appl. Appl. Math. Int. J. 7, 648–657 (2012)MathSciNetMATH
5.
6.
Behera, D., Chakraverty, S.: Erratum to Solving fuzzy complex system of linear equations (Information sciences 277: 154–162). Inf. Sci. 369(2016), 788–790 (2014)
7.
8.
Cao, S.G., Rees, N.W., Feng, G.: Analysis and design for a class of complex control systems. Part I: fuzzy modelling and identification. Automatica 33, 1017–1028 (1997)MathSciNetCrossRefMATH
9.
Das, S., Chakraverty, S.: Numerical solution of interval and fuzzy system of linear equations. Appl. Appl. Math. Int. J. 7, 334–356 (2012)MathSciNetMATH
10.
Dehghan, M., Hashemi, B.: Iterative solution of fuzzy linear systems. Appl. Math. Comput. 175, 645–674 (2006)MathSciNetMATH
11.
12.
13.
Fieguth, P.: An Introduction to Complex Systems, Society, Ecology, and Nonlinear Dynamics. Springer, Berlin (2017)CrossRef
14.
Ford, W.: Numerical Linear Algebra with Applications. Elsevier, New York (2015)MATH
15.
16.
17.
Filev, D.: Fuzzy modeling of complex systems. Int. J. Approx. Reason. 5, 281–290 (1991)CrossRefMATH
18.
Hladik, M.: Solution sets of complex linear interval systems of equations. Reliab. Comput. 14, 78–87 (2010)MathSciNet
19.
Hukuhara, M.: Intégration des applications measurables dont la valeur est un compact convexe. Funkcialaj Ekvacioj 10, 205–223 (1967)MathSciNetMATH
20.
Jahantigh, M.A., Khezerloo, S., Khezerloo, M.: Complex fuzzy linear systems. Int. J. Ind. Math. 2, 21–28 (2010)
21.
Khastan, A., Rodríguez-López, R.: On the solutions to first order linear fuzzy differential equations. Fuzzy Sets Syst. 295, 114–135 (2016)MathSciNetCrossRefMATH
22.
Kumar, A., Bansal, A.: A new computational method for solving fully fuzzy linear systems of triangular fuzzy numbers. Fuzzy Inf. Eng. 4, 63–73 (2012)MathSciNetCrossRefMATH
23.
Muzzioli, S., Reynaerts, H.: Fuzzy linear systems of the form \(A_{1}x+b_{1}=A_{2}x+b_{2}\). Fuzzy Sets Syst. 157, 939–951 (2006)CrossRefMATH
24.
Otadi, M., Mosleh, M.: Simulation and evaluation of dual fully fuzzy linear systems by fuzzy neural network. Appl. Math. Model. 35, 5026–5039 (2011)MathSciNetCrossRefMATH
25.
Petkovic, M.S., Petkovic, L.D.: Complex Interval Arithmetic and its Applications. Wiley-VCH, Weinheim (1998)MATH
26.
Qiu, J., Wu, C., Li, F.: On the restudy of fuzzy complex analysis: Part I. The sequence and series of fuzzy complex numbers and their convergences. Fuzzy Sets Syst. 115, 445–450 (2000)CrossRefMATH
27.
Qiu, J., Wu, C., Li, F.: On the restudy of fuzzy complex analysis: Part II. The sequence and series of fuzzy complex numbers and their convergences. Fuzzy Sets Syst. 120, 517–521 (2001)CrossRefMATH
28.
Rahgooy, T., Yazdi, H.S., Monsefi, R.: Fuzzy complex system of linear equations applied to circuit analysis. Int. J. Comput. Electr. Eng. 1, 1793–8163 (2009)
29.
Salahshour, S., Nejad, M.H.: Approximating solution of fully fuzzy linear systems in dual form. Int. J. Ind. Math. 5, 19–23 (2013)
30.
31.
Vroman, A., Deschrijver, G., Kerre, E.E.: Solving systems of linear fuzzy equations by parametric functions—an improved algorithm. Fuzzy Sets Syst. 158, 1515–1534 (2007)MathSciNetCrossRefMATH
32.
Zimmermann, H.J.: Fuzzy Set Theory and its Application. Kluwer Academic Publishers, Norwell (2001)CrossRef
Metadaten
Titel
Solving fuzzy dual complex linear systems
verfasst von
M. Chehlabi
Publikationsdatum
14.07.2018
Verlag
Springer Berlin Heidelberg
Erschienen in
Journal of Applied Mathematics and Computing / Ausgabe 1-2/2019
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI
https://doi.org/10.1007/s12190-018-1204-x

Weitere Artikel der Ausgabe 1-2/2019

Journal of Applied Mathematics and Computing 1-2/2019 Zur Ausgabe

Original Research

The threshold of stochastic Gilpin–Ayala model subject to general Lévy jumps

Original Research

-Cyclic codes

Original Research

Extrapolation multiscale multigrid method for solving 2D Poisson equation with sixth order compact scheme

Original Research

A class of constacyclic codes over

Original Research

The conjugate gradient methods for solving the generalized periodic Sylvester matrix equations

Original Research

On the fault-tolerant metric dimension of certain interconnection networks