Skip to main content

Incorporating the Decision-Maker’s Preferences in the Goal Programming Model with Fuzzy Goal Values: A new Formulation

  • Chapter

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 432))

Abstract

The goal programming model is probably the most known in mathematical programming with multiple objectives. Available in various versions, this model has been applied in much varied fields, It has also been the target of many criticisms among which are those related to the difficulty of determining precisely the goals as well as those concerning the decision-maker’s near absence in this modelling process. In the actual paper, we focus mainly on the explicit integration of the decision-maker in this model, especially when he may not express his goals in a precise way. To this end, we are building up with the help of the decision-maker his functions of satisfaction related to the type of deviation in accordance with each of his imprecise goals.

This research was partially supported by Le Fonds FCAR and by the National Sciences and Engireering Research Council (NSERC).

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Can, E.K. and M.H. Houck, “Real-time Reservoir Operations by Goal Programming”, Journal of Water Ressources Planning Management, Vol. 110, 1984 (297–309).

    Article  Google Scholar 

  • Charnes, A. and W.W. Cooper, “ Management Models and Industrial Applications of Linear Programming”, Wiley, New-York, 1961.

    Google Scholar 

  • Charnes, A. and W.W. Cooper, “Goal Programming and Multiple Objectives Optimisations”, European Journal of Operational Research, No. 1, 1977 (39–54).

    Article  Google Scholar 

  • Contini, B., “A stochastic Approach to Goal Programming”, Operation Research, Vol. 16, No. 3, 1968 (576–586).

    Article  Google Scholar 

  • Hannan, E. L., “On Fuzzy Goal Programming”, Decision Sciences, Vol. 12, 1981-a (522–531).

    Article  Google Scholar 

  • Hannan, E. L., “Some Further Comments on Fuzzy Priorities”, Decision Sciences, Vol. 12, 1981-b (539–541).

    Article  Google Scholar 

  • Hannan, E. L., “Constrasting Fuzzy Goal Programming and Fuzzy Multicriteria programming”, Decision Sciences, Vol. 13, 1983 (331–336).

    Google Scholar 

  • Hannan, E. L., “An Assessment of Some Criticisms of Goal Programming”, Computer and Operation Research,Vol. 12, No. 6, 1985 (525–541).

    Article  Google Scholar 

  • Hwang, C.L., S.R. Paidy, K. Yonn and A.S.M. Maud, “Mathematical Programming with Multiple Objectives: A Tutorial”, Computer and Operation Research, Vol. 7, 1980 (5–31).

    Article  Google Scholar 

  • Inuiguci, M. and Kume, Y., “Goal Programming Problems with Interval and Coefficients and Target Intervals”, European Journal of Operational Research, No. 52, 1991 (345–360)

    Article  Google Scholar 

  • Ignizio, P. J., “Notes and Communications of the (Re)Discovery of Fuzzy Goal Programming”, Decision Sciences,Vol. 13, 1982 (331–336).

    Article  Google Scholar 

  • Kvanli, A. H., “Financial Planning Using Goal Porgramming”, Omega, Vol. 8, 1980 (207–218).

    Article  Google Scholar 

  • Martel, J-M. and B. Aouni, “Incorporating the Decision-Maker’s Preferences in the Goal Programming Model”, Journal of Operational Research Society,Vol. 41, No. 12, 1990 (1121–1132).

    Google Scholar 

  • Min, H. and J. Storbeck, “On the Origin and Persistence of Misconceptions in Goal Programming”, Journal of Operational Research Society, Vol. 42, 1991 (301–312).

    Google Scholar 

  • Narasimhan, R., “Goal Programming in a Fuzzy Environment”, Decision Sciences, Vol. 11, 1980 (325–336).

    Article  Google Scholar 

  • Narasimhan, R., “On Fuzzy Goal Programming: Some Comments”, Decision Sciences, Vol. 12, 1981 (532–538).

    Article  Google Scholar 

  • Rao, J. R., R. N. Tiwari and B. K. Mohanty, “A Preference Structure on Aspiration Levels in a Goal Programming Problem: A Fuzzy Approach”, Fuzzy Sets and Systems, Vol. 25, 1988 (175–182).

    Article  Google Scholar 

  • Romero, C., “Handbook of Critical Issues in Goal Programming”, Pergamon Press, 1991.

    Google Scholar 

  • Romero, C., “A Note: Effects of Five-Side Penalty Functions in Goal Programming”, Omega, Vol. 12, 1984.

    Google Scholar 

  • Roy, B, B., “Des critères multiples en recherche opérationnelle: Pourquoi?” Cahier de LAMSADE No. 80, septembre 1987.

    Google Scholar 

  • Zadeh, L. A., “Fuzzy Sets”, Information and Control, Vol. 8, 1965 (338–353).

    Article  Google Scholar 

  • Zeleny, M. M., “Multiple Criteria Decision Making”, Mc Graw-Hill, New-York, 1982.

    Google Scholar 

  • Zimmermann, H.J., “Fuzzy Programming and Linear Programming with Several Objevtive Functions”, Fuzzy Sets and Systems, Vol. 1, 1979 (45–55).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1996 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Martel, JM., Aouni, B. (1996). Incorporating the Decision-Maker’s Preferences in the Goal Programming Model with Fuzzy Goal Values: A new Formulation. In: Tamiz, M. (eds) Multi-Objective Programming and Goal Programming. Lecture Notes in Economics and Mathematical Systems, vol 432. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-87561-8_17

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-87561-8_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60662-8

  • Online ISBN: 978-3-642-87561-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics