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Intuitionistic Fuzzy Simplex Method

by R.parvathi, C.malathi
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 48 - Number 6
Year of Publication: 2012
Authors: R.parvathi, C.malathi
10.5120/7353-0099

R.parvathi, C.malathi . Intuitionistic Fuzzy Simplex Method. International Journal of Computer Applications. 48, 6 ( June 2012), 39-48. DOI=10.5120/7353-0099

@article{ 10.5120/7353-0099,
author = { R.parvathi, C.malathi },
title = { Intuitionistic Fuzzy Simplex Method },
journal = { International Journal of Computer Applications },
issue_date = { June 2012 },
volume = { 48 },
number = { 6 },
month = { June },
year = { 2012 },
issn = { 0975-8887 },
pages = { 39-48 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume48/number6/7353-0099/ },
doi = { 10.5120/7353-0099 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:43:24.174121+05:30
%A R.parvathi
%A C.malathi
%T Intuitionistic Fuzzy Simplex Method
%J International Journal of Computer Applications
%@ 0975-8887
%V 48
%N 6
%P 39-48
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper deals with Intuitionistic Fuzzy Linear Programming Problems(IFLPPs) using Symmetric Trapezoidal Intuitionistic Fuzzy Numbers(STIFNs) and the arithmetic operations defined on them. A special ranking function is presented in project environment to rank STIFN. An attempt has been made to solve the given IFLPP without converting them to crisp linear programming problems by using intuitionistic fuzzy simplex method and the algorithm is effective and reasonable as is evident from the results of a numerical example.

References
  1. R. E. Bellman and L. A. Zadeh, "Decision making in a fuzzy environment", Management Science 17(1970), 141-164.
  2. H. Tanaka and K. Asai, "Fuzzy linear programming problems with fuzzy numbers", Fuzzy Sets and Systems, 13(1984), 1-10.
  3. H. J. Zimmermann, "Fuzzy programming and linear programming with several objective functions", Fuzzy Sets and Systems, 1(1978), 45-55.
  4. M. Jimenez, "Ranking fuzzy numbers through the comparision of its expected intervals", International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 4(1996), 379-388.
  5. H. R. Maleki, "Ranking functions and their applications to fuzzy linear programming", Far East Journal of Mathematical Sciences, 4(2002), 283-301.
  6. X. Wang and E. E. Kerre, "Reasonable properties for the ordering of fuzzy quantities(i)", Fuzzy Sets and Sytems, 118(2001), 375-385.
  7. K. T. Atanassov, 1999, Intuitionistic Fuzzy Sets: Theory and Applications, Physica-Verlag, Heidelberg, New York.
  8. H. Bustine and P. Burillo, "Vague sets are intuitionistic fuzzy sets", Fuzzy Sets and Systems 79(1996), 403-405.
  9. H. B. Mitchell, "Ranking-intuitionistic fuzzy numbers", International Journal of Uncertainty, Fuzziness and Knowledge Based Systems, 12, 3(2004), 377-386.
  10. A. Kumar, J. Kaur and P. Singh, "A new method for solving fully fuzzy linear programming problems", Applied Mathematical Modeling, 35(2011), 817-823.
  11. H. R. Maleki, M. Tata and M. Mashinchi, "Linear programming with fuzzy variables", Fuzzy Sets and Systems , 109(2000), 21-33.
  12. K. Ganesan and P. Veeramani, "Fuzzy linear programs with trapezoidal fuzzy numbers", Ann. Oper. Res. 143(2006), 305-315.
  13. B. S. Mahapatra and G. S. Mahapatra, "Intuitionistic fuzzy fault tree analysis using intuitionistic fuzzy numbers", International Mathematical Forum, 5, 21(2010), 1015 – 1024.
  14. H. M. Nehi, "A new ranking method for intuitionstic fuzzy numbers", International Journal of Fuzzy Systems, 12, 1(2010), 80-86.
  15. R. Parvathi and C. Malathi, "Arithmetic operations on symmetric trapezoidal intuitionistic fuzzy numbers", International Journal of Soft Computing and Engineering, 2, 2(2012), 268-273.
Index Terms

Computer Science
Information Sciences

Keywords

Intuitionistic Fuzzy Set Intuitionistic Fuzzy Linear Programming Problems Intuitionistic Fuzzy Simplex Method Symmetric Trapezoidal Instuitionistic Fuzzy Numbers Ranking Function

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