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Why Multidimensional Fuzzy Arithmetic?

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13th International Conference on Theory and Application of Fuzzy Systems and Soft Computing — ICAFS-2018 (ICAFS 2018)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 896))

Abstract

In the paper authors try to convince readers that application of multidimensional fuzzy arithmetic (MFAr) is useful because this arithmetic delivers more precise solutions of uncertain problems than low-dimensional fuzzy arithmetic, which is mostly used at present.

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References

  1. Aliev, R.A.: Operations on Z-numbers with acceptable degree of specificity. Procedia Comput. Sci. 120, 9–15 (2017)

    Article  Google Scholar 

  2. Aliev, R.A., Huseynov, O.H., Aliyev, R.R.: A sum of a large number of Z-numbers. Procedia Comput. Sci. 120, 16–22 (2017)

    Article  Google Scholar 

  3. Aliev, R.A., Alizadeh, A.V., Huseynov, O.H.: An introduction to the arithmetic of Z- numbers by using horizontal membership functions. Procedia Comput. Sci. 120, 349–356 (2017)

    Article  Google Scholar 

  4. Allahviranloo, T., Ghanbari, M.: On the algebraic solution of fuzzy linear systems based on interval theory. Appl. Math. Model. 36, 5360–5379 (2012)

    Article  MathSciNet  Google Scholar 

  5. Dymova, L.: Soft Computing in Economics and Finance. Springer, Heidelberg (2011). https://doi.org/10.1007/978-3-642-17719-4

    Book  Google Scholar 

  6. Mazandarani, M., Pariz, N., Kamyad, A.V.: Granular differentiability of fuzzy-number-valued functions. IEEE Trans. Fuzzy Syst. 26(1), 310–323 (2018)

    Article  Google Scholar 

  7. Mazandarani, M., Zhao, Y.: Fuzzy bang-bang control problem under granular differentiability. J. Frankl. Inst.-Eng. Appl. Math. 355(12), 4771–5350 (2018)

    Article  MathSciNet  Google Scholar 

  8. Najariyan, M., Zhao, Y.: Fuzzy fractional quadratic regulator problem under granular fuzzy fractional derivatives. IEEE Trans. Fuzzy Syst. 26(4), 2273–2288 (2018)

    Article  Google Scholar 

  9. Piegat, A., Landowski, M.: Two interpretations of multidimensional RDM interval arithmetic - multiplication and division. Int. J. Fuzzy Syst. 15(4), 488–496 (2013)

    MathSciNet  Google Scholar 

  10. Piegat, A., Plucinski, M.: Fuzzy number addition with application of horizontal membership functions. Sci. World J. 2015, 16 (2015). https://doi.org/10.1155/2015/367214. Article no. ID367214

    Article  MATH  Google Scholar 

  11. Piegat, A., Landowski, M.: Horizontal membership function and examples of its applications. Int. J. Fuzzy Syst. 17(1), 22–30 (2015)

    Article  MathSciNet  Google Scholar 

  12. Zeinalova, L.M.: Application of RDM interval arithmetic in decision making problem under uncertainty. Procedia Comput. Sci. 120, 788–796 (2017)

    Article  Google Scholar 

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Author information

Authors and Affiliations

  1. Faculty of Computer Science, West Pomeranian University of Technology, Zolnierska 49, 71-210, Szczecin, Poland

    Andrzej Piegat

  2. Department of Mathematical Methods, Maritime University of Szczecin, Waly Chrobrego 1-2, 70-500, Szczecin, Poland

    Marek Landowski

Authors
  1. Andrzej Piegat
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  2. Marek Landowski
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Corresponding author

Correspondence to Marek Landowski .

Editor information

Editors and Affiliations

  1. Joint MBA Program, Azerbaijan State Oil and Industry University, Baku, Azerbaijan

    Rafik A. Aliev

  2. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Janusz Kacprzyk

  3. Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB, Canada

    Witold Pedrycz

  4. Department of Electrical and Computer Engineering, University of Texas at San Antonio, San Antonio, TX, USA

    Mo. Jamshidi

  5. Department of Mechatronics, Near East University, Nicosia TRNC, Turkey

    Fahreddin M. Sadikoglu

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Piegat, A., Landowski, M. (2019). Why Multidimensional Fuzzy Arithmetic?. In: Aliev, R., Kacprzyk, J., Pedrycz, W., Jamshidi, M., Sadikoglu, F. (eds) 13th International Conference on Theory and Application of Fuzzy Systems and Soft Computing — ICAFS-2018. ICAFS 2018. Advances in Intelligent Systems and Computing, vol 896. Springer, Cham. https://doi.org/10.1007/978-3-030-04164-9_6

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