Skip to main content
Log in

Fuzzy optimization of slab production from mechanical stone properties

  • Research Paper
  • Published:
Structural and Multidisciplinary Optimization Aims and scope Submit manuscript

Abstract

This paper aims to conduct slab production optimization by a flexible tool, which is fuzzy linear programming. There is a direct relationship between slab production and mechanical stone characteristics. In this process, the goal and its tolerance cannot be specified firstly due to a lack of knowledge. Therefore, the optimal system design problem for optimal slab production under soft constraints is constructed and solved in a fuzzy environment. The results show that fuzzy linear optimization is a convenient tool for optimizing slab production.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Bardossy Gy, Fodor J (2004) Evaluation of uncertainties and risks in geology. Springer, Heidelberg

    MATH  Google Scholar 

  • Bellman RE, Zadeh LA (1970) Decision making in a fuzzy environment. Manag Sci 17(4):141–164

    Article  MathSciNet  Google Scholar 

  • Chakraborty M, Chandra MK (2005) Multicriteria decision making for optimal blending for beneficiation of coal: a fuzzy programming approach. Omega 33:413–418

    Article  Google Scholar 

  • Chanas S (1983) The use of parametric programming in FLP. Fuzzy Set Syst 11:243–251

    Article  MATH  Google Scholar 

  • International Society for Rock Mechanics (ISRM) (1981) Rock characterization testing and monitoring. In: Brown ET (ed) ISRM suggested methods. Pergamon, Oxford

    Google Scholar 

  • Kaymak U, Sousa JM (2003) Weighted constraint aggregation in fuzzy optimization. Constraints 8(1):61–78

    Article  MATH  MathSciNet  Google Scholar 

  • Lai Y-J, Hwang C-L (1992) Fuzzy mathematical programming. Springer, Heidelberg

    MATH  Google Scholar 

  • Luhandjula MK (2007) Fuzzy mathematical programming: theory, applications and extension. Journal of Uncertain Systems 1(2):124–136

    Google Scholar 

  • Ross TJ (2004) Fuzzy logic with engineering applications. Wiley, England

    MATH  Google Scholar 

  • Sakawa M (1993) Fuzzy sets and interactive multiobjective optimization. Plenum, New York

    MATH  Google Scholar 

  • Sousa JM, Kaymak U (2001) Model predictive control using fuzzy decision functions. IEEE Trans Syst Man Cybern Part B Cybern 31(1):54–65

    Article  Google Scholar 

  • Sousa JM, Kaymak U (2002) Fuzzy decision making in modeling and control. World Scientific, Singapore

    MATH  Google Scholar 

  • Terano T, Asai K, Sugeno M (1991) Fuzzy systems theory and its applications. Academic, New York

    Google Scholar 

  • Tutmez B, Kahraman S, Gunaydin O (2007) Multifactorial fuzzy approach to the sawability classification of building stones. Constr Build Mater 21:1672–1679

    Article  Google Scholar 

  • Zeleny M (2005) The evolution of optimality: de novo programming. Lect Notes Comput Sci 3410:1–13

    Article  Google Scholar 

  • Zimmermann H-J (1976) Description and optimization of fuzzy systems. Int J Gen Syst 2:209–215

    Article  Google Scholar 

  • Zimmermann H-J (1985) Application of fuzzy set theory to mathematical programming. Inf Sci 36:29–58

    Article  MATH  Google Scholar 

  • Zimmermann H-J (2001) Fuzzy set theory and its applications, 4th edn. Kluwer, Boston

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Bulent Tutmez.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tutmez, B., Kaymak, U. Fuzzy optimization of slab production from mechanical stone properties. Struct Multidisc Optim 37, 71–76 (2008). https://doi.org/10.1007/s00158-007-0216-1

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00158-007-0216-1

Keywords

Navigation