162
Views
0
CrossRef citations to date
0
Altmetric
Section A

Ranking of fuzzy numbers by fuzzy mapping

, &
Pages 1603-1618 | Received 10 Mar 2009, Accepted 17 Aug 2010, Published online: 14 Mar 2011

References

  • Abbasbandy , S. and Asady , B. 2006 . Ranking of fuzzy numbers by sign distance . Inf. Sci. , 176 : 2405 – 2416 .
  • Abbasbandy , S. , Lucas , C. and Asady , B. 2003 . A new method for ranking of fuzzy numbers through using distance method . Q. J. Sci., Teacher Training Univ. , 3 : 83 – 88 .
  • Asady , B. 2009 . Ranking of fuzzy numbers by two methods the distance minimization and centroid point . Math. Scient. J , 4 ( 2 ) : 49 – 58 .
  • Asady , B. and Zendehnam , M. 2007 . Ranking of fuzzy numbers by minimize distance . Appl. Math. Model. , 31 : 2589 – 2598 .
  • Baldwin , J. F. and Guild , N. C.F. 1979 . Comparison of fuzzy numbers on the same decision space . Fuzzy Sets Syst. , 2 : 213 – 233 .
  • Bortolan , G. and Degani , R. 1985 . A review of some methods for ranking fuzzy numbers . Fuzzy Sets Syst. , 15 : 1 – 19 .
  • Chen , S. 1985 . Ranking fuzzy numbers with maximizing set and minimizing set . Fuzzy Sets Syst. , 17 : 113 – 129 .
  • Chen , S. J. and Hwang , C. L. 1992 . Fuzzy Multiple Attribute Decision Making , Berlin : Springer .
  • Chen , L. H. and Lu , H. W. 2001 . An approximate approach for ranking fuzzy numbers beased on left and right dominance . Int. J. Comput. Math. Appl, , 41 : 1589 – 1602 .
  • Cheng , C. H. 1998 . A new approach for ranking fuzzy numbers by distance method . Fuzzy Sets Syst. , 95 : 307 – 317 .
  • Choobineh , F. and Li , H. 1993 . An index for ordering fuzzy numbers . Fuzzy Sets Syst. , 54 : 287 – 294 .
  • Chu , T. and Tsao , C. 2002 . Ranking fuzzy numbers with an area between the centroid point and orginal point . Comput. Math. Appl. , 43 : 111 – 117 .
  • Deng , Y. , Zhenfu , Z. and Qi , L. 2006 . Ranking fuzzy numbers with an area method using radius of gryation . Comput. Math. Appl. , 51 : 1127 – 1136 .
  • Diamond , P. and Kloeden , P. 1990 . Metric spaces of fuzzy setes . Fuzzy Sets Syst. , 35 : 241 – 249 .
  • Dubois , D. and Prade , H. 1978 . Operations on fuzzy numbers . Int. J. Syst. Sci. , 9 : 626 – 631 .
  • Dubois , D. and Prade , H. 1980 . Fuzzy Sets and Systems: Theory and Application , Academic Press, New York .
  • Dubois , D. and Prade , H. 1987 . The mean value of a fuzzy number . Fuzzy Sets Syst. , 24 : 279 – 300 .
  • Fortin , J. , Dubois , D. and Fargier , H. 2008 . Gradual numbers and their application to fuzzy interval analysis . IEEE Trans. Fuzzy Syst , 16 ( 2 ) : 388 – 402 .
  • Grzegorzewski , P. 1998 . Metrics and orders in space of fuzzy numbers . Fuzzy Sets Syst. , 97 : 83 – 94 .
  • Grzegorzewski , P. 2002 . Nearest interval approximation of a fuzzy number . Fuzzy Sets Syst. , 130 : 321 – 330 .
  • Grzegorzewski , P. and Mrówka , E. 2005 . Trapezoidal approximation of fuzzy numbers . Fuzzy Sets Syst. , 153 : 115 – 135 .
  • Goetschel , R. and Voxman , W. 1986 . Elementary calculus . Fuzzy Sets Syst. , 18 : 31 – 43 .
  • Heilpern , S. 1992 . The expected value of a fuzzy number . Fuzzy Sets Syst. , 47 : 81 – 86 .
  • Kolesnik , R. , Prokopowicz , P. and Kosinski , W. 2004 . “ Fuzzy calculator – useful tool for programming with fuzzy algebra ” . In Artificial Intelligence and Soft Computing (ICAISC 2004) , Edited by: Rutkowski , L. , Siekmann , J. , Tadeusiewicz , R. and Zadeh , L A. 320 – 325 . Berlin, , Germany : Springer . Lecture Notes in Computer Science, Vol. 3070
  • Kosinski , W. , Prokopowicz , P. and Slezak , D. 2004 . “ Calculus with fuzzy numbers ” . In Intelligent Media Technology for Communicative Intelligence (IMTCI 2004) , Edited by: Bolc , L. , Nishida , T. and Michalewicz , Z. 21 – 28 . Berlin, , Germany : Springer . Lecture Notes in Computer Science, Vol. 3490
  • Sun , H. J. and Wu , J. J. 2006 . A new approach for ranking fuzzy numbers based on fuzzy simulation analysis method . Appl. Math. Comput. , 174 : 755 – 767 .
  • Syau , Y. R. , Sugianto , L. F. and Lee , E. S. 2008 . A class of semicontinuous fuzzy mappings . Appl. Math. Lett. , 21 : 824 – 827 .
  • Wang , X. and Kerre , E. E. 2001 . Reasonable properties for the ordering of fuzzy quantities (I) . Fuzzy Sets Syst. , 118 : 375 – 385 .
  • Wang , X. and Kerre , E. E. 2001 . Reasonable properties for the ordering of fuzzy quantities (II) . Fuzzy Sets Syst. , 118 : 387 – 405 .
  • Wang , Y. J. and Lee , H. S. 2008 . The revised method of ranking fuzzy numbers with an area between the centroid and original points . Comput. Math. Appl. , 55 : 2033 – 2042 .
  • Yager , R. R. 1981 . A procedure for ordering fuzzy subsets of the unit interval . Inf. Sci. , 24 : 143 – 161 .
  • Yao , J. and Wu , K. 2000 . Ranking fuzzy numbers based on decomposition principle and signed distance . Fuzzy Sets Syst. , 116 : 275 – 288 .

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.