44
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

Cardinal, Median Value, Variance and Covariance of Exponential Fuzzy Numbers with Shape Function and its Applications in Ranking Fuzzy Numbers

Pages 10-24 | Received 11 Oct 2014, Accepted 29 Oct 2015, Published online: 03 Feb 2016

References

  • S. Abbasbandy, T. Hajjari, A new approach for ranking of trapezoidal fuzzy numbers, Computers and Mathematics with Applications, 57 (3), 413–419, (2009). doi: 10.1016/j.camwa.2008.10.090
  • S. Bodjanova, Median value and median interval of a fuzzy number, Infomation Sciences, 172, 73–89, (2005). doi: 10.1016/j.ins.2004.07.018
  • C. Carlsson, R. Fuller and P. Majlender, On possibilistic correlation, Fuzzy Sets and Systems, 155, 425–445, (2005). doi: 10.1016/j.fss.2005.04.014
  • Chen, SJ., Chen, SM., Fuzzy risk analysis based on the ranking of generalized trapezoidal fuzzy numbers, Applied Intelligence, 26 (1), 1–11, (2007). doi: 10.1007/s10489-006-0003-5
  • S. Chen and Guo-Chin Li, Representation, Ranking, and Distance of Fuzzy Number with Exponential Membership Function Using Graded mean Integration method, Tamsui oxford journal of mathematical science, 16 (2), 123–131, (2000).
  • Chen, SM., Chen, JH., Fuzzy risk analysis based on ranking generalized fuzzy numbers with different heights and different spreads, Expert Systems with Applications, 36 (3), 6833–6842, (2009). doi: 10.1016/j.eswa.2008.08.015
  • Cheng, C. H., A new approach for ranking fuzzy numbers by distance method, Fuzzy Sets and System, 95, 307–317, (1998). doi: 10.1016/S0165-0114(96)00272-2
  • Christer Carlsson and Robert Fuller, On Possibilistic Mean Value, Variance, Covariance and Correlation of Fuzzy Numbers, Towards Intelligent Engineering and Information Technology, vol. 243, pp. 17–36, (2009). doi: 10.1007/978-3-642-03737-5_2
  • Chu, T. C., Tsao, C. T, Ranking fuzzy numbers with an area between the centroid point and original point, Computers and Mathematics with Applications, 43, 111–117, (2002). doi: 10.1016/S0898-1221(01)00277-2
  • D. Dubois and H. Prade, Ranking fuzzy numbers in the setting of possibility theory, Information Sciences 30, 183–224 (1983). doi: 10.1016/0020-0255(83)90025-7
  • D. Dubois and H. Prade, The mean value of a fuzzy number, Fuzzy Sets and Systems, 24, 279–300, (1987). doi: 10.1016/0165-0114(87)90028-5
  • R. Fuller and P. Majlender, On interactive fuzzy numbers, Fuzzy Sets and Systems, 143, 355–369, (2004). doi: 10.1016/S0165-0114(03)00180-5
  • E.T. Jaynes, Probability Theory : The Logic of Science, Cambridge University Press, 2003.
  • Kumar, A., Singh P., Kaur A., Kaur, P., RM approach for ranking of generalized trapezoidal fuzzy numbers, Fuzzy Information and Engineering, 2 (1), 37–47, (2010). doi: 10.1007/s12543-010-0036-7
  • K. Lee, H. Chu, H. Lee-Kwang, Ranking fuzzy values with satisfaction function, Fuzzy Sets and Systems, 64, 295–309, (1994). doi: 10.1016/0165-0114(94)90153-8
  • S. Rezvani, A New Method for Rank, Mode, Divergence and Spread on Generalized Exponential Trapezoidal Fuzzy Numbers, Turkish Journal of Fuzzy Systems, Vol.3, No.2, pp. 98–107, (2012).
  • S. Rezvani, Multiplication Operation on Trapezoidal Fuzzy Numbers, Journal of Physical Sciences, Vol. 15, 17–26, (2011).
  • S. Rezvani, New Method for Ranking in Perimeters of two Generalized Trapezoidal Fuzzy Numbers, International Journal of Applied Operational Research, Vol. 2, No. 3, pp. 83–90, (2012).
  • S. Rezvani, A New Approach Ranking of Exponential Trapezoidal Fuzzy Numbers, Journal of Physical Sciences, Vol. 16, 45–57, (2012).
  • S. Rezvani, A New Method for Ranking in Areas of two Generalized Trapezoidal Fuzzy Numbers, International Journal of Fuzzy Logic Systems (IJFLS), Vol.3, No1, 17–24, (2013). doi: 10.5121/ijfls.2013.3102
  • S. Rezvani, Ranking Generalized Trapezoidal Fuzzy Numbers with Euclidean Distance by the Incentre of Centroids, Mathematica Aeterna, Vol. 3, no. 2, 103–114, (2013).
  • S. Rezvani, Ranking Method of Trapezoidal Intuitionistic Fuzzy Numbers, Annals of Fuzzy Mathematics and Informatics, Volume 5, No. 3, pp. 515–523, (2013).
  • S. Rezvani, Ranking Exponential Trapezoidal Fuzzy Numbers by Median Value, Journal of Fuzzy Set Valued Analysis, Volume 2013, Year 2013 Article ID jfsva-00139, 1–9. doi: 10.5899/2013/jfsva-00139
  • S. Rezvani, Ranking generalized exponential trapezoidal fuzzy numbers based on variance, Applied Mathematics and Computation, 262, 191–198, (2015). doi: 10.1016/j.amc.2015.04.030
  • L. A. Zadeh, Fuzzy set, Information and Control, vol.8, no. 3, pp. 338–353, (1965). doi: 10.1016/S0019-9958(65)90241-X
  • O. V. Lapko, O. O. Provotar, O. O. Provotar, Basic similarities and differences ways of description uncertain variables, taac.org.ua/files/a2012/proceedings/UA-1-Lapko- 285, (2012).

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.