Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Soft Computing
Published in: Soft Computing 3/2016

31-12-2014 | Methodologies and Application

Generalized differentiability and integrability for fuzzy set-valued functions on time scales

Authors: Ch. Vasavi, G. Suresh Kumar, M. S. N. Murty

Published in: Soft Computing | Issue 3/2016

Log in

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

search-config
loading …

Abstract

This paper deals with the fuzzy set-valued functions of real variables on time scale whose values are normal, convex, upper semicontinuous and compactly supported fuzzy sets in \(\mathbb {R}^{n}\). We introduce and study the fundamental properties of new class of derivative called generalized delta derivative (\(\Delta _{g}\)-derivative) and generalized delta integral (\(\Delta _{g}\)-integral) for such fuzzy functions.
previous article Effective problem solving through fuzzy logic knowledge bases aggregation
next article An improved -dominance strategy for many-objective optimization problems

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!

inform now

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!

inform now

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!

inform now
Literature
Agarwal RP, Bohner M, O’Regan D, Peterson A (2002) Dynamic equations on time scales : a survey. J Comput Appl Math 141(1–2):1–26CrossRefMathSciNetMATH
Bede B, Gal SG (2005) Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations. Fuzzy Sets Syst 151(3):581–599CrossRefMathSciNetMATH
Bohner M, Peterson A (2001) Dynamic equations on time scales: an introduction with applications. Birkhauser, BostonCrossRef
Hong S (2009) Differentiability of multivalued functions on time scales and applications to multivalued dynamic equations. Nonlinear Anal: Theory Methods Appl 71(9):3622–3637CrossRefMATH
Lakshmikantham V, Mohapatra R (2003) Theory of fuzzy differential equations and inclusions. Taylor and Francis, LondonCrossRefMATH
Li J, Zhao A, Yan J (2012) The Cauchy problem of fuzzy differential equations under generalized differentiability. Fuzzy Sets Syst 200:1–24CrossRefMathSciNetMATH
Murthy MSN, Suresh-Kumar G (2006) Three point boundary value problems for third order fuzzy differential equations. J Chungcheong Math Soc 19(1):101–110
Murthy MSN, Suresh-Kumar G (2007) Initial and boundary value problems for fuzzy differential equations. Demonstr Math XL(4):827–838
Murthy MSN, Suresh-Kumar G (2008a) On controllability and observability of fuzzy dynamical matrix Lyapunov systems. Adv Fuzzy Syst 2008:1–16
Murthy MSN, Suresh-Kumar G (2008b) On observability of fuzzy dynamical matrix Lyapunov systems. Kyungpook Math J 48:473–486
Murthy MSN, Suresh-Kumar G, Rao BVA, Prasad KASNV (2013) On controllability of fuzzy dynamical matrix Lyapunov systems. Analele Universitatii de vest Timisoara LI(2):73–86
Stefanini L (2010) A generalization of Hukuhara difference and division for interval and fuzzy arithmetic. Fuzzy Sets Syst 161:1564–1584CrossRefMathSciNetMATH
Metadata
Title
Generalized differentiability and integrability for fuzzy set-valued functions on time scales
Authors
Ch. Vasavi
G. Suresh Kumar
M. S. N. Murty
Publication date
31-12-2014
Publisher
Springer Berlin Heidelberg
Published in
Soft Computing / Issue 3/2016
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-014-1569-1

Other articles of this Issue 3/2016

Soft Computing 3/2016 Go to the issue

Methodologies and Application

Effective problem solving through fuzzy logic knowledge bases aggregation

Methodologies and Application

An interval mean–average absolute deviation model for multiperiod portfolio selection with risk control and cardinality constraints

Methodologies and Application

Thyroid disease diagnosis via hybrid architecture composing rough data sets theory and machine learning algorithms

Methodologies and Application

Chaotic gradient artificial bee colony for text clustering

Methodologies and Application

Non-dominated Sorting Bee Colony optimization in the presence of noise

Methodologies and Application

Gaussian bare-bones artificial bee colony algorithm

Premium Partner

    Image Credits