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SOME PROPERTIES OF PESSIMISTIC AND OPTIMISTIC VALUES FOR UNCERTAIN RANDOM VARIABLES

Yıl 2018, Cilt: 36 Sayı: 2, 465 - 472, 01.06.2018

Öz

The optimistic and pessimistic values of uncertain random variable have been presented for handling both uncertainty and randomness. In this paper, some extensions of optimistic and pessimistic values of uncertain random variable are investigated.As a sample, the optimistic and pessimistic values of an uncertain random variable are expressed.

Kaynakça

  • ⦁ B. Liu, Uncertainty Theory, 2nd ed., Springer-Verlag, Berlin, Germany, 2007.
  • ⦁ B. Liu, Uncertainty Theory: A Branch of Mathematics for Modeling Human Uncertainty, Springer-Verlag, Berlin, Germany, 2010.
  • ⦁ Y. H. Liu, Uncertain random variables: A mixture of uncertainty and randomness,Soft Comput. 17 (2013) 625-634.
  • ⦁ Y. H. Liu, Uncertain random programming with applications, Fuzzy Optim. Decis. Ma. 12 (2013) 153-169.
  • ⦁ Y.H. Liu, D.A. Ralescu, Value-at-risk in uncertain random risk analysis, Information Sciences 391 (2017) 1-8.
  • ⦁ B. Liu, Uncertain random graph and uncertain random network, J. Uncertain Syst. 8 (2014) 3-12.
  • ⦁ J. Zhou, F. Yang, K. Wang, Multi-objective optimization in uncertain random environments, Fuzzy Optim. Decis. Ma. 13 (2014) 397-413.
  • ⦁ J.W. Gao, K. Yao, Some concepts and theorems of uncertain random process, Int. J. Intell. Syst. 30 (1) (2015) 52–65.
  • ⦁ K. Yao, J.W. Gao, Uncertain random alternating renewal process with application to interval availability, IEEE Trans. Fuzzy Syst. 23 (5) (2015) 1333–1342.
  • ⦁ H. Ke, H. Liu, G. G. Tian, An uncertain random programming model for project scheduling problem, Int. J. Intell. Syst.30 (2015) 66-79.
  • ⦁ H. Ahmadzade, R. Gao, H. Zarei, Partial quadratic entropy of uncertain random variables, J. Uncertain Syst. 10 (2016) 292-301.
  • ⦁ H. Dalman Uncertain random programming models for fixed charge multi-item solid transportation problem, New Trends in Mathematical Sciences, Volume: 6(1), (2018) 37-51.
  • ⦁ Y. H. Sheng, Y. Gao, Shortest path problem of uncertain random network, Comput. Ind. Eng. 99 (2016) 97-105.
  • ⦁ B. Liu, Some research problems in uncertainty theory, J. Uncertain Syst. 3 (2009) 3-10.
Yıl 2018, Cilt: 36 Sayı: 2, 465 - 472, 01.06.2018

Öz

Kaynakça

  • ⦁ B. Liu, Uncertainty Theory, 2nd ed., Springer-Verlag, Berlin, Germany, 2007.
  • ⦁ B. Liu, Uncertainty Theory: A Branch of Mathematics for Modeling Human Uncertainty, Springer-Verlag, Berlin, Germany, 2010.
  • ⦁ Y. H. Liu, Uncertain random variables: A mixture of uncertainty and randomness,Soft Comput. 17 (2013) 625-634.
  • ⦁ Y. H. Liu, Uncertain random programming with applications, Fuzzy Optim. Decis. Ma. 12 (2013) 153-169.
  • ⦁ Y.H. Liu, D.A. Ralescu, Value-at-risk in uncertain random risk analysis, Information Sciences 391 (2017) 1-8.
  • ⦁ B. Liu, Uncertain random graph and uncertain random network, J. Uncertain Syst. 8 (2014) 3-12.
  • ⦁ J. Zhou, F. Yang, K. Wang, Multi-objective optimization in uncertain random environments, Fuzzy Optim. Decis. Ma. 13 (2014) 397-413.
  • ⦁ J.W. Gao, K. Yao, Some concepts and theorems of uncertain random process, Int. J. Intell. Syst. 30 (1) (2015) 52–65.
  • ⦁ K. Yao, J.W. Gao, Uncertain random alternating renewal process with application to interval availability, IEEE Trans. Fuzzy Syst. 23 (5) (2015) 1333–1342.
  • ⦁ H. Ke, H. Liu, G. G. Tian, An uncertain random programming model for project scheduling problem, Int. J. Intell. Syst.30 (2015) 66-79.
  • ⦁ H. Ahmadzade, R. Gao, H. Zarei, Partial quadratic entropy of uncertain random variables, J. Uncertain Syst. 10 (2016) 292-301.
  • ⦁ H. Dalman Uncertain random programming models for fixed charge multi-item solid transportation problem, New Trends in Mathematical Sciences, Volume: 6(1), (2018) 37-51.
  • ⦁ Y. H. Sheng, Y. Gao, Shortest path problem of uncertain random network, Comput. Ind. Eng. 99 (2016) 97-105.
  • ⦁ B. Liu, Some research problems in uncertainty theory, J. Uncertain Syst. 3 (2009) 3-10.
Toplam 14 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Articles
Yazarlar

Hasan Dalman Bu kişi benim 0000-0001-8925-3941

Yayımlanma Tarihi 1 Haziran 2018
Gönderilme Tarihi 26 Şubat 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 36 Sayı: 2

Kaynak Göster

Vancouver Dalman H. SOME PROPERTIES OF PESSIMISTIC AND OPTIMISTIC VALUES FOR UNCERTAIN RANDOM VARIABLES. SIGMA. 2018;36(2):465-72.

IMPORTANT NOTE: JOURNAL SUBMISSION LINK https://eds.yildiz.edu.tr/sigma/