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A type-2 fuzzy expert system based on a hybrid inference method for steel industry

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Abstract

In this paper, a novel type-2 fuzzy expert system for prediction the amount of reagents in desulfurization process of a steel industry in Canada is developed. In this model, the new interval type-2 fuzzy c-regression clustering algorithm for structure identification phase of Takagi–Sugeno (T–S) systems is presented. Gaussian Mixture Model is used to generate partition matrix in clustering algorithm. Then, an interval type-2 hybrid fuzzy system, which is the combination of Mamdani and Sugeno method, is proposed. The new hybrid inference system uses fuzzy disjunctive normal forms and fuzzy conjunctive normal forms for aggregation of antecedents. A statistical test, which uses least square method, is implemented in order to select variables. In order to validate our method, we develop three system modeling techniques and compare the results with our proposed interval type-2 fuzzy hybrid expert system. These techniques are multiple regression, type-1 fuzzy expert system, and interval type-2 fuzzy TSK expert system. For tuning parameters of the system, adaptive-network-based fuzzy inference system is used. Finally, neural network is utilized in order to reduce error of the system. The results show that our proposed method has less error and high accuracy.

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Authors and Affiliations

  1. Department of Industrial Engineering, Amirkabir University of Technology, Tehran, Iran, P.O. BOX 15875-4413

    M. H. Fazel Zarandi & R. Gamasaee

  2. Department of Industrial Engineering, TOBB University of Economics and Technology, Sogutozu, Ankara, Turkey

    I. B. Turksen

Authors
  1. M. H. Fazel Zarandi
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  2. R. Gamasaee
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  3. I. B. Turksen
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Corresponding author

Correspondence to M. H. Fazel Zarandi.

Appendices

Appendix A

Fig. 18
figure 18

Memberships of input6 (Compound2) and output regression function for the first model

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Fig. 19
figure 19

Memberships of input8 (Compound4) and output regression function for the first model

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Appendix B

Fig. 20
figure 20

Memberships of input10 (Compound4) and output regression function for estimating the amount of reagent2

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Fig. 21
figure 21

Memberships of input11 (Compound5) and output regression function for estimating the amount of reagent2

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Fazel Zarandi, M.H., Gamasaee, R. & Turksen, I.B. A type-2 fuzzy expert system based on a hybrid inference method for steel industry. Int J Adv Manuf Technol 71, 857–885 (2014). https://doi.org/10.1007/s00170-013-5372-4

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  • DOI: https://doi.org/10.1007/s00170-013-5372-4

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