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 7/2018

30.01.2017 | Methodologies and Application

Defuzzification and application of trapezoidal type-2 fuzzy variables to green solid transportation problem

verfasst von: Amrit Das, Uttam Kumar Bera, Manoranjan Maiti

Erschienen in: Soft Computing | Ausgabe 7/2018

Einloggen

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

search-config
loading …

Abstract

The main objective of this investigation is to propose a defuzzification process of a trapezoidal type-2 fuzzy variable centred on critical value-based reduction method and nearest interval approximation, i.e. \(\alpha \)-cut of fuzzy number. In this context, this paper proposes some theorems with proof. Also as an application of the proposed defuzzification process, a new multi-objective green solid transportation model has been formulated with all of its parameters as trapezoidal type-2 fuzzy variables, where the objectives are profit maximization and minimization of carbon emission produced by the modes of transport depending upon their loads, fuel type used, type of engine, driving characteristics, etc. After defuzzification, to solve the equivalent crisp multi-objective solid transportation problem the intuitionistic fuzzy programming technique is used. Also we have proposed the MOGA and LINGO 13.0 iterative platform for the soft computation related to the problem. At the end, proposed methodologies are finally illustrated by providing numerical examples which incorporate some real-life data and demonstrate how a decision maker makes a balance between the maximum profit and minimum carbon emission. Also a comparative study with N–T method has been provided, and some managerial decisions are drawn.
Vorheriger Artikel Fuzzy matching and direct revocation: a new CP-ABE scheme from multilinear maps
Nächster Artikel Applications of computational intelligence in vehicle traffic congestion problem: a survey

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
Aliev RA, Pedrycz W, Guirimov B, Aliev RR, Ilhan U, Babagil M, Mammdli S (2011) Type-2 fuzzy neural networks with fuzzy clustering and differential evolution optimization. Inf Sci 181(9):1591–2160MathSciNetCrossRef
Bector CR, Chandra S (2005) Fuzzy mathematical programming and fuzzy matrix games. Springer, BerlinMATH
Buckley JJ, Eslami E (2002) An introduction to fuzzy logic and fuzzy sets. Physica-Verlag, HeidelbergCrossRefMATH
Chaabane A, Ramudhin A, Paquet M (2012) Design of sustainable supply chains under the emissions trading scheme. Int J Prod Econ 135:37–49CrossRef
Chakraborty S, Pal M, Nayak PK (2013) Intuitionistic fuzzy optimization technique for pareto optimal solution of manufacturing inventory models with shortages. Eur J Oper Res 228:381–387MathSciNetCrossRefMATH
Chen SM, Lee LW (2010) Fuzzy multiple criteria hierarchical group decision-making based on interval type-2 fuzzy sets. IEEE Trans Syst Man Cybern Part A: Syst Hum 40(5):1120–1128MathSciNetCrossRef
Chen SM, Lee LW (2010) Fuzzy multiple attributes group decision-making based on the ranking values and the arithmetic operations of interval type-2 fuzzy sets. Expert Syst Appl 37(1):824–833MathSciNetCrossRef
Chen Y, Zhang L (2011) Some new results about arithmetic of type-2 fuzzy variables. J Uncertain Syst 5(3):227–240
Coupland S, John R (2008) A fast geometric method for defuzzification of type-2 fuzzysets. IEEE Trans Fuzzy Syst 16(4):929–941CrossRef
Das SK, Goswami A, Alam SS (1999) Multi-objective transportation problem with interval cost, source and destination parameters. Eur J Oper Res 117:100–112CrossRefMATH
Das A, Bera UK, Maiti M (2016) Defuzzification of trapezoidal type-2 fuzzy variables and its application to solid transportation problem. J Intell Fuzzy Syst 30:2431–2445CrossRefMATH
Das A, Bera UK, Das B (2016) A solid transportation problem with mixed constraint in different environment. J Appl Anal Comput 6(1):179–195MathSciNet
Das A, Bera UK, Maiti M (2016) A breakable multi-item multi stage solid transportation problem under budget with Gaussian type-2 fuzzy parameters. Appl Intell 45(3):923–951CrossRef
Greenfield S, Chiclana F, John RI, Coupland S (2012) The sampling method of defuzzification for type-2 fuzzy sets: experimental evaluation. Inf Sci 189:77–92MathSciNetCrossRef
Greenfield S, Chiclana F (2013) Defuzzification of the discretised generalised type-2 fuzzy set: experimental evaluation. Inf Sci 244:1–25MathSciNetCrossRefMATH
Haley KB (1962) The solid transportation problem. Oper Res Int J 10:448–463MATH
John RI (1998) Type-2 fuzzy sets: an appraisal of theory and applications. Int J Uncertain Fuzziness Knowl Based Syst 6(6):563–576MathSciNetCrossRefMATH
Karmakar S, Bhunia AK (2014) An alternative optimization technique for interval objective constrained optimization problems via multi-objective programming. J Egypt Math Soc 22:292–303CrossRefMATH
Konur D (2014) Carbon constrained integrated inventory control and truckload transportation with heterogeneous freight trucks. Int J Prod Econ 153:268–279CrossRef
Kundu P, Kar S, Maiti M (2013) Multi-objective multi-item solid transportation problem in fuzzy environment. Appl Math Model 37:2028–2038MathSciNetCrossRefMATH
Kundu P, Kar S, Maiti M (2014) Multi-objective solid transportation problems with budget constraint in uncertain environment. Int J Syst Sci 45(8):1668–1682MathSciNetCrossRefMATH
Ling X, Zhang Y (2011) Operations on triangle type-2 fuzzy sets. Procedia Eng 15:3346–3350CrossRef
Liu F (2008) An efficient centroid type-reduction strategy for general type-2 fuzzy logic system. Inf Sci 178:2224–2236MathSciNetCrossRef
Liu P, Yang L, Wang L, Li S (2014) A solid transportation problem with type-2 fuzzy variables. Appl Soft Comput 24:543–558CrossRef
Liu ZQ, Liu YK (2010) Type-2 fuzzy variables and their arithmetic. Soft Comput 14:729–747CrossRefMATH
Mendel JM, John RIB (2002) Type-2 fuzzy sets made simple. IEEE Trans Fuzzy Syst 10(2):117–127CrossRef
Nie M, Tan WW (2008) Towards an efficient type-reduction method for interval type-2 fuzzy logic systems. In: 2008 IEEE International Conference on Fuzzy Systems (FUZZ 2008), pp 1425–1432
Ojha A, Das B, Mondal S, Maiti M (2009) An entropy based solid transportation problem for general fuzzy costs and time with fuzzy equality. Math Comput Model 50(1–2):166–178MathSciNetCrossRefMATH
Ojha A, Das B, Mondal S, Maiti M (2010) A solid transportation problem for an item with fixed charge, vehicle cost and price discounted varying charge using genetic algorithm. Appl Soft Comput 10:100–110CrossRef
Pan S, Ballot E, Fontane F (2013) The reduction of greenhouse gas emissions from freight transport by pooling supply chains. Int J Prod Econ 143:86–94CrossRef
Qin R, Liu YK, Liu ZQ (2011) Methods of critical value reduction for type-2 fuzzy variable and their applications. J Comput Appl Math 235:1454–1481MathSciNetCrossRefMATH
Safi MR, Razmjoo A (2013) Solving fixed charge transportation problem with interval parameters. Appl Math Model 37:8341–8347MathSciNetCrossRef
Sakawa M (1983) Interactive computer program for fuzzy linear programming with multiple objectives. Int J Man Mach Stud 18:489–503CrossRefMATH
Shell E (1955) Distribution of a product by several properties. In: Directorate management analysis, proceeding of the second symposium in linear programming, vol 2, pp 615–642, DCS/Comptroller H. Q. U. S. A. F
Sinha B, Das A, Bera UK (2016) Profit maximization solid transportation problem with trapezoidal interval type-2 fuzzy numbers. Int J Appl Comput Math. doi:10.​1007/​s40819-015-0044-8
Soysal M, Bloemhof-Ruwaard JM, van der Vorst JGAJ (2014) Modelling food logistics network with emission considerations: the case of an international beef supply chain. Int J Prod Econ 152:57–70CrossRef
Srivastava SK (2007) Green supply-chain management: a state-of-the-art literature review. Int J Manag Rev 9:53–80CrossRef
Sundarakani B, de Souza R, Goh M, Wagner SM, Manikandan S (2010) Modeling carbon footprints across the supply chain. Int J Prod Econ 128:43–50CrossRef
Vignaux GA, Michalewicz Z (1991) A genetic algorithm for the liner transportation problem. IEEE Trans Syst Man Cybern 21(2):445–452CrossRefMATH
Yang PY, Tang JF, Yu Y, Pei JX (2013) Minimizing carbon emissions through vehicle routing and scheduling in the shuttle service of picking up and delivering customers to the airport. Acta Autom Sin 39(4):424–432CrossRef
Yang L, Feng Y (2007) A bicriteria solid transportation problem with fixed charge under stochastic environment. Appl Math Model 31:2668–2683CrossRefMATH
Yang L, Liu L (2007) Fuzzy fixed charge solid transportation problem and algorithm. Appl Soft Comput 7:879–889CrossRef
Metadaten
Titel
Defuzzification and application of trapezoidal type-2 fuzzy variables to green solid transportation problem
verfasst von
Amrit Das
Uttam Kumar Bera
Manoranjan Maiti
Publikationsdatum
30.01.2017
Verlag
Springer Berlin Heidelberg
Erschienen in
Soft Computing / Ausgabe 7/2018
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-017-2491-0

Weitere Artikel der Ausgabe 7/2018

Soft Computing 7/2018 Zur Ausgabe

Methodologies and Application

Modified Gbest-guided artificial bee colony algorithm with new probability model

Methodologies and Application

Adaptive racing ranking-based immune optimization approach solving multi-objective expected value programming

Methodologies and Application

A new image watermarking technique based on periodic plus smooth decomposition (PPSD)

Methodologies and Application

Input value prediction of parameters in laser bending using Fuzzy and PSO

Foundations

Note on “symmetric triangular approximations of fuzzy numbers under a general condition and properties”

Methodologies and Application

Axiomatic approaches to rough approximation operators via ideal on a complete completely distributive lattice