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A Note on Solving a Fully Intuitionistic Fuzzy Linear Programming Problem based on Sign Distance

by S. K. Bharati, S. R. Singh
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 119 - Number 23
Year of Publication: 2015
Authors: S. K. Bharati, S. R. Singh
10.5120/21379-4347

S. K. Bharati, S. R. Singh . A Note on Solving a Fully Intuitionistic Fuzzy Linear Programming Problem based on Sign Distance. International Journal of Computer Applications. 119, 23 ( June 2015), 30-35. DOI=10.5120/21379-4347

@article{ 10.5120/21379-4347,
author = { S. K. Bharati, S. R. Singh },
title = { A Note on Solving a Fully Intuitionistic Fuzzy Linear Programming Problem based on Sign Distance },
journal = { International Journal of Computer Applications },
issue_date = { June 2015 },
volume = { 119 },
number = { 23 },
month = { June },
year = { 2015 },
issn = { 0975-8887 },
pages = { 30-35 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume119/number23/21379-4347/ },
doi = { 10.5120/21379-4347 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:04:52.177927+05:30
%A S. K. Bharati
%A S. R. Singh
%T A Note on Solving a Fully Intuitionistic Fuzzy Linear Programming Problem based on Sign Distance
%J International Journal of Computer Applications
%@ 0975-8887
%V 119
%N 23
%P 30-35
%D 2015
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The paper presents a new method to find the optimal solution of a fully intuitionistic fuzzy linear programming (FIFLP) problem. It uses the sign distance between intuitionistic fuzzy numbers for their comparison. The proposed methods have been applied for solving a FIFLP problem with equality constraints. The proposed method is convenient for implementation to solution of FIFLP problems arising in real life situations.

References
  1. Atanassov T. Intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol. 20 pp. 87-96, 1986.
  2. Angelov, P. P. , Optimization in an intuitionistic fuzzy environment, Fuzzy Sets and Systems, vol. 86, pp. 299-306, 1997.
  3. Bellman, R. E. , Zadeh, L. A. Decision making in a fuzzy environment, Management Science, Vol. 17, pp. B141-B164, 1970.
  4. Dubey, Dipti, Mehra, Aparna, Linear programming with Triangular Intuitionistic Fuzzy Number", EUSFLAT-LFA 2011, Advances in Intelligent Systems Research, Atlantis Press, Vol. 1 , No. 1, pp. 563-569, 2011.
  5. Bharati, S. K. and Singh, S. R. , Solving Multi-Objective Linear Programming Problems Using Intuitionistic Fuzzy Environment Optimization Method: a Comparative Study, International Journal of Modeling and Optimization, DOI: 10. 7763/IJMO. 2014. V4. 339.
  6. Li, D. F. , A ratio ranking method of triangular intuitionistic fuzzy numbers and its application to MADM problems, J. Computer and Mathematics with Applications 60, (2010), 1557-1570.
  7. Mitchell, H. B. , Ranking intuitionistic fuzzy numbers, International J. of Uncertainty, Fuzziness and Knowledge-Based Systems, Vol. 12, No. 3, (2004), 377-386.
  8. Zadeh, L. A. , Fuzzy Sets, Information and control, Vol. 8 , pp. 338-353, 1965.
  9. Cheng, Ching-Hsue, A new approach for ranking fuzzy numbers by distance method, Fuzzy Sets and Systems 95 (1998) 307-317.
  10. Yao, J. S, Wu K. , Ranking fuzzy numbers based on decomposition principle and sign distance, Fuzzy Sets and systems 116 (2000) 275-288.
  11. Tran Lien, Duckstein, Comparison of fuzzy number using a fuzzy measure, Fuzzy Sets and systems 116 (2002) 331-341.
  12. Chu, Ta-Chung, Tsao, Chung-Tsen, Ranking fuzzy numbers with an area between the centroid point and original point, Computers and mathematics with Applications 43 (2002) 111-117.
  13. Grzegorzewski, P. , Distance between intuitionistic fuzzy sets and interval-valued fuzzy sets based on the hausdorff on the Hausdorff metric, Fuzzy Sets and Systems 148 (2004) 319-328.
  14. Abbasbandy, S. , Asady, B. , Ranking of fuzzy numbers by sign distance, Information Sciences 176 (2006) 2405-2416.
  15. Shureshjani, R. S. , Darehmiraki M. , A new parametric method for ranking fuzzy numbers, Indagationes Mathematicae 24 (2013) 518-529.
  16. Szmidt, E. , Kacprzyk J. , Distance between intuitionistic fuzzy sets, Fuzzy Sets and Systems 114 (2000) 505-518.
  17. Wang, W. , Xin, X. , Distance measure between intuitionistic fuzzy sets, Pattern Recognition Letters 26 (2005) 2063-2069.
  18. Nayagam, G. V, Venketshwary, G. , Shivaraman, G. , Ranking of intuitionistic fuzzy numbers, 2008 IEEE International Conference on Fuzzy Systems (FUZZ 2008).
  19. Li1, D. F. , Nan, J. X. , Zhang, M. J. , A Ranking method of triangular intuitionistic fuzzy numbers and application to decision making, International Journal of computational Intelligence Systems Nol. 2, No. 5, (2010), 522-530.
  20. Nayagam1G. V. , Sivaraman, V. G. , Modified ranking of intuitionistic fuzzy numbers, NIFS 17 (2011) 1, 5-22.
  21. Wei, C. P. , Tang, X. , Possibility degree method for ranking intuitionistic fuzzy numbers, 2010 IEEE/WIC/ACM.
  22. Nehi, H. M. , A new ranking method for intuitionistic fuzzy numbers, International Journal of Fuzzy Systems, Vol. 12, No. 1, 2010.
  23. De, P. K. , Das, D. , A study on ranking of trapezoidal intuitionistic fuzzy numbers,6 (2014), 437-444.
  24. Zhang, H. , Yu, L. , New distance measures between intuitionistic fuzzy sets and interval-valued fuzzy sets, Information Sciences 245 (2013) 181-196.
  25. Guha D. , Chakrborty D. , A theoretical development of distance measure for intuitionistic fuzzy numbers, International Journal of Mathematics and Mathematical Sciences, 2010.
  26. Esmailzadeh, M. , Esmailzadeh, M. , New distance between triangular intuitionistic fuzzy numbers, Advances in Computational Mathematics and Its Applications vol. 2, no. 3, (2013).
  27. Yao1, J. S. , Lin, F. T. , Fuzzy critical path method based on signed distance ranking of fuzzy numbers, IEEE Transaction on Systems, Man and Cybernatics-Part-A: Systems and Humans Vol. 30, No. 1, 2000.
  28. Zimmermann, H. J. , Fuzzy programming and linear programming with several objective functions, Fuzzy Sets and Systems, 1(1978) 45-55.
Index Terms

Computer Science
Information Sciences

Keywords

Intuitionistic fuzzy sets Triangular intuitionistic fuzzy numbers Sign distance between intuitionistic fuzzy numbers Fully intuitionistic fuzzy linear programming problem.

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