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Reseach Article

A Comprehensive Study of Intuitionistic Fuzzy Soft Matrices and its Applications in Selection of Laptop by using Score Function

by Muhammad Naveed Jafar, Ayisha Saeed, Mahnoor Waheed, Atiqa Shafiq
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 177 - Number 38
Year of Publication: 2020
Authors: Muhammad Naveed Jafar, Ayisha Saeed, Mahnoor Waheed, Atiqa Shafiq
10.5120/ijca2020919844

Muhammad Naveed Jafar, Ayisha Saeed, Mahnoor Waheed, Atiqa Shafiq . A Comprehensive Study of Intuitionistic Fuzzy Soft Matrices and its Applications in Selection of Laptop by using Score Function. International Journal of Computer Applications. 177, 38 ( Feb 2020), 8-17. DOI=10.5120/ijca2020919844

@article{ 10.5120/ijca2020919844,
author = { Muhammad Naveed Jafar, Ayisha Saeed, Mahnoor Waheed, Atiqa Shafiq },
title = { A Comprehensive Study of Intuitionistic Fuzzy Soft Matrices and its Applications in Selection of Laptop by using Score Function },
journal = { International Journal of Computer Applications },
issue_date = { Feb 2020 },
volume = { 177 },
number = { 38 },
month = { Feb },
year = { 2020 },
issn = { 0975-8887 },
pages = { 8-17 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume177/number38/31153-2020919844/ },
doi = { 10.5120/ijca2020919844 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T00:48:04.664221+05:30
%A Muhammad Naveed Jafar
%A Ayisha Saeed
%A Mahnoor Waheed
%A Atiqa Shafiq
%T A Comprehensive Study of Intuitionistic Fuzzy Soft Matrices and its Applications in Selection of Laptop by using Score Function
%J International Journal of Computer Applications
%@ 0975-8887
%V 177
%N 38
%P 8-17
%D 2020
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper is being carried out to discuss Intuitionistic Fuzzy Soft Matrices and their operations have been described employing decisive issues by using Score Function of Intuitionistic Fuzzy soft matrices resulting in the efficiency of Intuitionistic Matrices over fuzzy matrices. Finally at the end we have presented a case study for the best selection of laptop.

References
  1. Atanassov .K, Gargov. G,(1989). Interval valued intuitionistic fuzzy sets, Fuzzy Sets Syst, 31:343-349
  2. Atanassov .K.T,(1999).Intuitionistic Fuzzy Sets, Pysica-Verlag A Springer- Verlag Company, New York.
  3. Borah. M. J, Neog. T. J, Sut. D. K,(2012). Fuzzy Soft Matrix Theory And Its Decision Making, International Journal of Modern Engineering Re- search, 2 :121–127.
  4. Broumi. S, Smarandache. F and Dhar. M,(2013). On Fuzzy Soft Matrix Based on Reference Function, Information Engineering and Electronic Business, 2: 52-59.
  5. C¸ a˘gman.N and Engino˘glu. S, Soft set theory and uni-int decision making,European Journal of Operational Research, DOI: 10.1016/j.ejor.2010.05.004.
  6. C¸ a˘gman.N, and Engino˘glu. S,(2010). Soft matrix theory and its decision mak- ing, Computers and Mathematics with Applications, 59: 3308– 3314.
  7. C¸ a˘gman .N,(2014). Contributions to the theory of soft sets, Journal of New Results in Science, 4:33–41.
  8. C. a˘gman.N and Enginolu .S,(2012). Fuzzy soft matrix theory and its applica- tions in decision making, Iranian Journal of Fuzzy Systems, 9(1) :109–119.
  9. C. a˘gman. N, C¸ ıtak, F.and Engino˘glu.S, (2011). FP-soft set theory and its applications, Annals of Fuzzy Mathematics and Informatics, 2(2):219- 226.
  10. C. a˘gman .N, Karata¸s. S,(2013). Intuitionistic fuzzy soft set theory and its deci- sion making,Journal of Intelligent and Fuzzy Systems,24(4): 829– 836.
  11. C. a˘gman.N, Deli. N, (2012). I. Means of FP-Soft Sets and its Applications, Hacettepe Journal of Mathematics and Statistics, 41(5) :615–625.
  12. C. a˘gman, Deli. N,(2012). I. Product of FP-Soft Sets and its Applications, Hacettepe Journal of Mathematics and Statistics, 41(3) :365 -374.
  13. Dinda .B, and Samanta .T.K, (2010).Relations on Intuitionistic Fuzzy Soft Sets, Gen. Math. Notes, 1(2):74–83.
  14. Dubois. D and Prade, H.(1980).Fuzzy Set and Systems,Theory and Applica- tions, Academic Press, New York.
  15. Feng. F, Liu. X, Fotea. V. L, Jun Y. B,(2011). Soft sets and soft rough sets, Information Sciences ,181 :1125–1137.
  16. Feng.F, Li. C, Davvaz. B, Ali. M. I,(2010). Soft sets combined with fuzzy sets and rough sets, a tentative approach, Soft Computing, 14:899–911.
  17. Gau.W.L, Buehrer D.J,(1993).Vague sets, IEEE Trans. Systems Man and Cy-bernet, 23 (2) :610-614.
  18. Jafar.N.M, Saqlain.M, Saeed.M, Abbas.Q (2020), Application of Soft-Set Relations and Soft Matrices in Medical Diagnosis using Sanchez’s Approach , International Journal of Computer Applications, 177(32): 7-11.
  19. Jafar.N.M, Muniba.K, Saeed.A, Abbas.S, Bibi.I (2019), Application of Sanchez’s Approach to Disease Identification Using Trapezoidal Fuzzy Numbers, International Journal of Latest Engineering Research and Applications, 4(9):51-57
  20. Jafar.N.M, Faizullah, Shabbir.S, Alvi.F.M.S, Shaheen.L (2019), Intuitionistic Fuzzy Soft Matrices, Compliments and Their Relations with Comprehensive Study of Medical Diagnosis, International Journal of Latest Engineering Research and Applications, 5(1): 23-30.
  21. Jiang .Y, Tang. Y, Chen. Q, H. Liu, J.Tang,(2010). Interval-valued intuition- istic fuzzy soft sets and their properties, Computers and Mathematics with Applications, 60 :906–918.
  22. Kalaichelvi .A, Kanimozhi. P,(2013).Impact of excessve television Viewing by children an analysis using intuitionistic fuzzy soft Matrces, Int jr. Of mathematics sciences and applications,3(1) :103-108.
  23. Khan.N, Khan. F. H, Thakur. G. S,(2013). Weighted Fuzzy Soft Matrix Theory and its Decision Making, International Journal of Advances in Computer Science and Technology ,2(10) :214-218.
  24. Kong .Z, Gao. L and Wang. L, (2009). Comment on “A fuzzy soft set theoretic approach to decision making problems”, J. Comput. Appl. Math, 223:540–542.
  25. Maji .P.K, Biswas. R, Roy. A.R,(2001).Intuitionistic Fuzzy Soft Sets. The Journal of Fuzzy Mathematics, 9(3): 677-692.
  26. Maji .P.K, Biswas. R and Roy. A.R,(2001). Fuzzy soft sets, Journal of Fuzzy Mathematics, 9(3): 589-602.
  27. Mao .J, Yao. D, Wang.C,(2013). Group decision making methods based on intuitionistic fuzzy soft matrices, Applied Mathematical Modelling 37:6425-6436.
  28. Mondal .J. I and Roy. T. K,(2013). Some Properties on Intuitionistic Fuzzy Soft Matrices, International Journal of Mathematics Research 5(2): 267–276.
  29. Mondal .J. I and Roy .T. K,(2014). Intuitionistic Fuzzy Soft Matrix Theory and Multi Criteria in Decision Making Based on T-Norm Operators, Mathematics and Statistics, 2(2): 55–61.
  30. Mondal .J. I, Roy. T. K,(2013). Theory of Fuzzy Soft Matrix and its Multi Criteria in Decision Making Based on Three Basic t-Norm Operators, International Journal of Innovative Research in Science, Engineering and Technology 2(10): 5715–5723.
  31. Molodtsov .D.A,(1999).Soft set theory-first results, Comput. Math. Appl, 37 : 19-31.
  32. Mukherjee.A and Chakraborty .S.B,(2008). On Intuitionistic fuzzy soft rela- tions, Bulletin of Kerala Mathematics Association, 5(1) : 35-42.
  33. Pawlak .Z,(1982). Rough sets, Int. J. Comput. Inform. Sci. 11 : 341-356.
  34. Pei .D and Miao. D, In: X. Hu,Q. Liu, A. Skowron, T.Y. Lin, R.R. Yager, B.Zhang (Eds.),(2005). From soft sets to information systems, Proceedings of Granular Computing, 2: 617-621.
  35. Rajarajeswari .P, Dhanalakshmi. T. P,(2013). Intuitionistic Fuzzy Soft Matrix Theory And Its Application In Decision Making, International Journal of Engineering Research Technology, 2(4) : 1100-1111.
  36. Riaz.M, Saeed.M, Saqlain.M, Jafar.N (2019), Impact of Water Hardness in Instinctive Laundry System Based on Fuzzy Logic Controller, Punjab University Journal of Mathematics, 51(4):73-84
  37. Roy .A.R and Maji. P.K,(2007). A fuzzy soft set theoretic approach to decision making problems, J. Comput. Appl. Math. 203 : 412-418.
  38. Saeed, M., Zulqarnain, M. and Dayan, F. (2018). TOPSIS analysis for the prediction of diabetes based on general characteristics of humans. Int. J. of Pharm. Sci. and Research. 9: 2932-2939
  39. Saikia.B.K, Boruah. H and Das. P.K,(2013). Application of Intuitionistic Fuzzy Soft Matrices in Decision Making Problems, International Journal of Mathematics Trends and Technology, 4(11) :254–265.
  40. Saikia .B.K, Boruah H and Das .P.K,(2014). An Appliaction of Generalized Fuzzy Soft Matrices in Decision Making Problem, IOSR Journal of Mathematics, 10(1) :PP 33–41.
  41. Saqlain.M.Jafar.N, Riffat.A (2018), Smart Phone Selection by Consumers’ In Pakistan: FMCGDM Fuzzy Multiple Criteria Group Decision Making Approach, Gomal University Journal of Research, 34 (1): 27-31.
  42. Saqlain.M, Jafar.N, Hamid.R,Shahzad.A. (2019), Prediction of Cricket World Cup 2019 by TOPSIS Technique of MCDM-A Mathematical Analysis, International Journal of Scientific & Engineering Research, 10(2): 789-792
  43. Saqlain.M, Naz.K, Ghaffar.K, Jafar.N.M (2019), Fuzzy Logic Controller: The Impact of Water pH on Detergents, Scientific Inquiry of Review 3(3):16–29
  44. Saqlain M, Saeed M, Ahmad M. R, Smarandache F, (2019), Generalization of TOPSIS for Neutrosophic Hypersoft set using Accuracy Function and its Application, Neutrosophic Sets and Systems (NSS), 27: 131-137.
  45. Sezgin.A and Atagu¨n.A.O,(2011).On operations of soft sets, Comp:1457-1467.
  46. Som.T,(2006). On the theory of soft sets, soft relation and fuzzy soft rela- tion, Proc. of the national conference on Uncertainty: A Mathematical Approach, UAMA-06, Burdwan: 1-9.
  47. Sut .D. K,(2012). An application of fuzzy soft relation in decision making problems, International Journal of Mathematics Trends and Technology ,3(2):51
Index Terms

Computer Science
Information Sciences

Keywords

Intuitionistic Fuzzy Soft Matrices Score Function