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.
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References
Bardossy Gy, Fodor J (2004) Evaluation of uncertainties and risks in geology. Springer, Heidelberg
Bellman RE, Zadeh LA (1970) Decision making in a fuzzy environment. Manag Sci 17(4):141–164
Chakraborty M, Chandra MK (2005) Multicriteria decision making for optimal blending for beneficiation of coal: a fuzzy programming approach. Omega 33:413–418
Chanas S (1983) The use of parametric programming in FLP. Fuzzy Set Syst 11:243–251
International Society for Rock Mechanics (ISRM) (1981) Rock characterization testing and monitoring. In: Brown ET (ed) ISRM suggested methods. Pergamon, Oxford
Kaymak U, Sousa JM (2003) Weighted constraint aggregation in fuzzy optimization. Constraints 8(1):61–78
Lai Y-J, Hwang C-L (1992) Fuzzy mathematical programming. Springer, Heidelberg
Luhandjula MK (2007) Fuzzy mathematical programming: theory, applications and extension. Journal of Uncertain Systems 1(2):124–136
Ross TJ (2004) Fuzzy logic with engineering applications. Wiley, England
Sakawa M (1993) Fuzzy sets and interactive multiobjective optimization. Plenum, New York
Sousa JM, Kaymak U (2001) Model predictive control using fuzzy decision functions. IEEE Trans Syst Man Cybern Part B Cybern 31(1):54–65
Sousa JM, Kaymak U (2002) Fuzzy decision making in modeling and control. World Scientific, Singapore
Terano T, Asai K, Sugeno M (1991) Fuzzy systems theory and its applications. Academic, New York
Tutmez B, Kahraman S, Gunaydin O (2007) Multifactorial fuzzy approach to the sawability classification of building stones. Constr Build Mater 21:1672–1679
Zeleny M (2005) The evolution of optimality: de novo programming. Lect Notes Comput Sci 3410:1–13
Zimmermann H-J (1976) Description and optimization of fuzzy systems. Int J Gen Syst 2:209–215
Zimmermann H-J (1985) Application of fuzzy set theory to mathematical programming. Inf Sci 36:29–58
Zimmermann H-J (2001) Fuzzy set theory and its applications, 4th edn. Kluwer, Boston
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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
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DOI: https://doi.org/10.1007/s00158-007-0216-1