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Reseach Article

A Modified Approach for Ranking Non-normal p-norm Trapezoidal Fuzzy Numbers

by S. Rajaram, B. Abirami
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 56 - Number 10
Year of Publication: 2012
Authors: S. Rajaram, B. Abirami
10.5120/8929-3006

S. Rajaram, B. Abirami . A Modified Approach for Ranking Non-normal p-norm Trapezoidal Fuzzy Numbers. International Journal of Computer Applications. 56, 10 ( October 2012), 36-40. DOI=10.5120/8929-3006

@article{ 10.5120/8929-3006,
author = { S. Rajaram, B. Abirami },
title = { A Modified Approach for Ranking Non-normal p-norm Trapezoidal Fuzzy Numbers },
journal = { International Journal of Computer Applications },
issue_date = { October 2012 },
volume = { 56 },
number = { 10 },
month = { October },
year = { 2012 },
issn = { 0975-8887 },
pages = { 36-40 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume56/number10/8929-3006/ },
doi = { 10.5120/8929-3006 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:58:30.279459+05:30
%A S. Rajaram
%A B. Abirami
%T A Modified Approach for Ranking Non-normal p-norm Trapezoidal Fuzzy Numbers
%J International Journal of Computer Applications
%@ 0975-8887
%V 56
%N 10
%P 36-40
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Ranking fuzzy numbers is a prerequisite for the decision making problem. In order to rank fuzzy quantities many researchers proposed and analyzed different techniques on triangular and trapezoidal fuzzy numbers. However, no one can claim their method is a satisfactory one. In this paper a modified distance based approach called signed distance proposed by Yao and Wu [9] is discussed. This proposed approach is free from computational complexity in the process of decision making, optimization and forecasting problems. Some Numerical examples are used to illustrate the proposed approach.

References
  1. Zadeh. L. A, 1965, Fuzzy sets Information and control 8(1965) 338 – 353.
  2. Jain . R,1976. Decision-making in the presence of fuzzy variables, IEEE Transactions on systems, Man and Cybernetics 6, 698 – 703
  3. Yager. R. R, 1981, A procedure for ordering fuzzy subsets of the unit interval, Sciences 24, 143 – 161.
  4. Kaufmann,M. M. Gupta, Fuzzy Mathematical Models in Engineering and Management Science, Elsevier Science Publishers, Amsterdam, Netherlands.
  5. Liou. T. S. ,Wang. M. J. 1992, Ranking fuzzy numbers with integral value, Fuzzy sets and systems 50, 247-255
  6. Cheng. C. H. 1998, A new approach for ranking fuzzy numbers by distance method, Fuzzy sets and systems 95, 307-317.
  7. Wang. X,Kerre. E. E. 2001, Reasonable properties for the ordering of fuzzy quantities (1), Fuzzy sets and systems 118, 375 – 385.
  8. Chu. T. C,Tsao,C. T. 2002,Ranking fuzzy numbers with an area between the centroid point and original point, Computers and Mathematics with Applications 43, 111-117.
  9. Jing-Shing Yao, KweimeiWu, 2000 Ranking fuzzy numbers based on decomposition principle and signed distance,Fuzzy sets and systems 116,275-288.
  10. Abbasbandy. S,Asady. B, 2006 A Ranking of fuzzy numbers by sign distance, Information Sciences 176,2405-2416.
  11. Abbasbandy. S,Hajjari. T. 2009 A New approach for ranking of trapezoidal fuzzy numbers, Computer and Mathematics with Applications 57, 413-419.
  12. Chen. S. M. ,Chen. J. H. 2009 Fuzzy risk analysis based on ranking generalized fuzzy numbers with different heights and different spreads,Experts Systems with Applications 36, 6833 – 6842.
  13. C. C. Chen,H. C. Tang, 2008 Ranking of non-normal p-norm trapezoidal fuzzy numbers with integral value, Computer and Mathematics with Applications 56, 2340-2346.
  14. AmitKumar, Pushpinder Singh, Amarpreet Kaur, Parampreet Kaur, 2011 A new approach for ranking non-normal p-norm trapezoidal fuzzy numbers, Computer and Mathematics with applications 61,881-887.
  15. Chen. S. J. & Chen. S. M. 2007,Fuzzy risk analysis based on the ranking of generalized trapezoidal fuzzy numbers,Applied Intelligence, 26(1),1-11.
  16. Murakami. S. ,Maeda. S. ,and Imamura. S. 1983, Fuzzy decision analysis on the development of centralized regional energy control system. In Proceedings of the IFAC symposium on fuzzy information, knowledge representation and decision analysis (pp. 363-368).
  17. Yager,R. R. 1978,Ranking fuzzy subsets over the unit interval, In Proceedings of 17th IEEE international conference on decision and control,San Diego, California(pp. 1435-1437).
  18. Yager. R. R. 1980, On choosing between fuzzy subsets, Kybernetes, 9(2), 151-154.
Index Terms

Computer Science
Information Sciences

Keywords

Non-Normal p-norm trapezoidal fuzzy numbers – Ranking function – Signed distance.