A new approach for ranking of generalized trapezoidal fuzzy numbers

World Academy of Science, Engineering and Technology

Volumn 68, Issue , 2010, Pages 299-302

  Kumar, Amit ^a   Singh, Pushpinder ^a   Kaur, Parampreet ^a   Kau, Amarpreet ^a  

^a THAPAR UNIVERSITY   (India)

Author keywords

Generalized trapezoidal fuzzy numbers; Ranking function

Indexed keywords

DECISION MAKERS; FUZZY NUMBERS; FUZZY SETS AND SYSTEMS; NEW APPROACHES; RANKING FUNCTION; RANKING FUNCTIONS; RANKING METHODS; RANKING OF FUZZY NUMBERS; REAL-LIFE PROBLEMS; TRAPEZOIDAL FUZZY NUMBERS;

DECISION MAKING; EXPERT SYSTEMS; FUZZY RULES; INFORMATION RETRIEVAL;

FUZZY SETS;

EID: 78751609342     PISSN: 2010376X     EISSN: 20103778     Source Type: Journal    
DOI: None     Document Type: Article

References (18)

1. L. A. Zadeh Fuzzy Sets, Information and Control, vol. 8, 1965, pp. 338-353.
2. R. Jain, Decision-making in the presence of fuzzy variables, IEEE Transactions on Systems, Man and Cybernetics, vol. 6, 1976, pp.698- 703
3. R. R. Yager, A procedure for ordering fuzzy subsets of the unit interval, Information Sciences, vol. 24, 1981, pp. 143-161.
4. A. Kaufmann and M. M. Gupta, Fuzzy mathemaical models in engineering and managment science, Elseiver Science Publishers, Amsterdam, Netherlands, 1988.
5. L. M Campos and A. MGonzalez, A subjective approach for ranking fuzzy numbers, Fuzzy Sets and Systems, vol. 29, 1989, pp.145-153.
6. T. S. Liou, T.S and M. J. Wang, Ranking fuzzy numbers with integral value, Fuzzy Sets and Systems, vol. 50, 1992, pp.247-255.
7. C. H. Cheng, A new approach for ranking fuzzy numbers by distance method, Fuzzy Sets and Systems, vol. 95, 1998, pp. 307-317.
8. H. C. Kwang and J. H. Lee, A method for ranking fuzzy numbers and its application to decision making, IEEE Transaction on Fuzzy Systems, vol. 7, 1999, pp. 677-685.
9. M. Modarres and S. Sadi-Nezhad, Ranking fuzzy numbers by preference ratio, Fuzzy Sets and Systems, vol. 118, 2001, pp. 429-436.
10. T. C. Chu and C. T. Tsao, Ranking fuzzy numbers with an area between the centroid point and original point, Computers and Mathematics with Applications, vol. 43, 2002, pp. 111-117.
11. Y. Deng and Q. Liu, A TOPSIS-based centroid-index ranking method of fuzzy numbers and its applications in decision making, Cybernatics and Systems, vol. 36, 2005, pp. 581-595.
12. C. Liang, J. Wu and J. Zhang, Ranking indices and rules for fuzzy numbers based on gravity center point, Paper presented at the 6th world Congress on Intelligent Control and Automation, Dalian, China, 2006, pp.21-23.
13. Y. J. Wang and H. S. Lee, The revised method of ranking fuzzy numbers with an area between the centroid and original points, Computers and Mathematics with Applications, vol. 55, 2008, pp.2033-2042.
14. S. j. Chen and S. M. Chen, Fuzzy risk analysis based on the ranking of generalized trapezoidal fuzzy numbers, Applied Intelligence, vol. 26, 2007, pp. 1-11.
15. S. Abbasbandy and T. Hajjari, A new approach for ranking of trapezoidal fuzzy numbers, Computers and Mathematics with Applications, vol. 57, 2009, pp. 413-419.
16. S. M Chen and J. H. Chen, Fuzzy risk analysis based on ranking generalized fuzzy numbers with different heights and different spreads, Expert Systems with Applications, vol. 36, 2009. pp. 6833-6842.
17. D. Dubois and H. Prade, Fuzzy Sets and Systems, Theory and Applications, Academic Press, New York, 1980.
18. X. Wang and E. E. Kerre, Reasonable properties for the ordering of fuzzy quantities (I), Fuzzy Sets and Systems, vol. 118, 2001, pp.375-385.