Fuzzy Soft Relative Method and its Application in Decision Making Problem
Fuzzy Soft Relative Method and its Application in Decision Making Problem
Keywords:
Soft Sets, Fuzzy Sets, Fuzzy Soft Sets, FS-Relative MethodAbstract
In day to day problems, so many situations are faced which are full of dissatisfaction and uncertainties. Fuzzy soft set theory has evolved as an effective decision making tool to cope with problems with uncertainties. This work develops a new technique, Fuzzy Soft relative (FS-relative) method for solving such problems. Underlying concept is inspired from fuzzy soft set aggregate approach. We find maximal set and apply it to FS-set to get a relative set which contains relative fuzzy approximation functions values. Then FS-relative operator is generated and the values are applied with maximal set by FS-relative operator to get a single relative fuzzy set. The proposed FS-relative method has been effectively applied to find the optimum solution for selecting the best teacher in a High School according to the teacher specific characteristics.
References
D. A. Molodtsov, Soft Set Theory- First Results, Computers & Mathematics with Applications 37:19-31 (1999).
D. A. Molodtsov, Description of Dependence with the Help of Soft Sets, Journal of Computer and System Sciences International 40(6): 977-984 (2001).
D. A. Molodtsov, Theory of Soft Sets (in Russian), URSS Publishers, Moscow, (2004).
D. A. Molodtsov, V. YU. Leonov and D. V. Kovkov, Soft Sets Technique and its Application, NechetkieSistemi I MyakieVychisleniya 1(1): 8-39 (2006).
Z. Kong, L. Gao and L. Wang, Comment on a Fuzzy Soft Set Theoretic Approach to decision Making Problems, Journal of Computational and Applied Mathematics. 223: 540-542 (2009).
Z. Kong, L. Gao, L. Wang and S. Li, The Normal Parameter Reduction of Soft Sets and its Algorithm, Computers & Mathematics with Applications 56: 3029-3037 (2008).
D. Chen, E. C. C. Tsang, D. S. Yeung and X. Wang, The Parameterization Reduction of Soft Sets and Its Applications, Computers & Mathematics with Applications. 49: 757-763 (2005).
N. Cagman, F. C Tak and S. Enginoglu, Fuzzy Parameterized Fuzzy Soft Set Theory and its Applications, Turkish Journal of Fuzzy Systems 1(1): 21-35 (2010).
Z. Xiao, Y. Li, B. Zhong and X. Yang, Research on Synthetically Evaluating Method for Business Competitive Capacity Based on Soft Set, Statistical Methods in Medical Research 52-54 (2003).
N. Cagman, S. Enginoglu and F. Cijak, Fuzzy Soft Set Theory and its Application, IJFS, 8(3): 137-147 (2011).
Z. Xiao, L. Chen, B. Zhong and S. Ye, Recognition for Soft Information Based on the Theory of Soft Sets, In: J. Chen, eds., Proceedings of ICSSSM-05, 2: 1104-1106 (2005).
Z. Pawlak, Rough Sets, International Journal of Computing and Information Sciences 11: 341-356 (1982).
L. A. Zadeh, Fuzzy Sets, Information and Control, 8: 338-353 (1965).
P. K. Maji, R. Biswas and A. R. Roy, Fuzzy Soft Sets. Journal of Fuzzy Mathematics. 9(3): 589-602 (2001).
P. K. Maji, A. R. Roy and R. Biswas, An Application of Soft Sets in a Decision Making Problem. Computers & Mathematics with Applications. 44: 1077-1083 (2002).
P. K. Maji, R. Biswas and A. R. Roy, Soft Set Theory, Computers & Mathematics with Applications. 45: 555-562 (2003).
T. Som, On the Theory of Soft Sets, Soft Relation and Fuzzy Soft Relation, Proc. of the National Conference on Uncertainty: A Mathematical Approach, UAMA-06, Burdwan, 1-9 (2006).
R.K. Bhardwaj, S.K. Tiwari and K. C. Nayak, A Study of Solving Decision Making Problem Using Soft Set, International.Journal of Latest Technology in Engineering, Management & Applied Science. 4(9) 26-32 (2015).
K. Gogoi, A. Kr. Dutta and C. Chutia, Application of Fuzzy Soft Set in Day to Day Problems, International Journal of Computer Applications. 85(7) 27-31 (2014).
S. Kalaiselvi and V. Seenivasan, Decision Making in Sports Via Possibility Fuzzy Soft Set, International Journal of Engineering Technology and Applied science. 3 (2017).
N. Cagman and S. Enginoglu, Soft Matrix Theory and its Decision Making, Computers & Mathematics with Applications 59(10)3308-3314 (2010).
M. Saeed, Z. Anam, T. Kanwal, I. Saba, F. Memoona, M. and F. Tabassum, Generalization of TOPSIS from soft set to Fuzzy soft sets in decision making problem. Scientific Inquiry and Review.1(1) 11-18 (2017).
S. Alkhazaleh, A. R. Salleh and N. Hassan, Possibility Fuzzy Soft, Hindawi Publishing Corporation, Advance in Decision Sciences, Art. ID-479756, DOI:10:1155/2011/479756 (2011).
R.K. Pal, Application of Fuzzy Soft Set in Selection Decision Making Problem, International Journal of Engineering Trends and Technology 42(7): 370-374 (2016).
M. Zulqarnain, F. Dayan and M. Saeed, TOPSIS Analysis for the Prediction of Diabetes Based on General Characteristics of Humans. International Journal of Pharmaceutical Sciences and Research. 9(7) 2932-2939 (2018).
M. Imtiaz, M. Saqlain, and M.Saeed, TOPSIS for Multi Criteria Decision Making in Octagonal Intuitionistic Fuzzy Environment by Using Accuracy Function, Journal of New Theory, 31: 32-40 (2020).
M. N. Jafar, K. Muniba, A. Saeed, S. Abbas, and I. Bibi, Application of Sanchez's Approach to Disease Identification Using Trapezoidal Fuzzy Numbers, International Journal of Latest Engineering Research and Applications, 4(9) 51-57(2019).
M. Saeed, M. Saqlain, and M. Riaz, Application of Generalized Fuzzy TOPSIS in Decision Making for Neutrosophic Soft set to Predict the Champion of FIFA 2018: A Mathematical Analysis, Punjab University Journal of Mathematics, 51(8) 11-126 (2019).
M. Saqlain, M. Saeed, M. R. Ahmad, F. Smarandache, Generalization of TOPSIS for Neutrosophic Hypersoft set using Accuracy Function and its Application, Neutrosophic Sets and Systems, 27: 131-137 (2019).
R. M. Zulqarnain., X.L. Xin., M. Saeed, and N. Ahmed. Application of Interval Valued Fuzzy Soft Max-Min Decision Making Method in Medical Diagnosis, International Journal of Pharmaceutical Sciences Review and Research, 62(1)56-60 (2020).
R. M. Zulqarnain., X.L. Xin., M. Saeed, and N. Ahmed. Recruitment of Medical Staff in Health Department by Using TOPSIS Method, International Journal of Pharmaceutical Sciences Review and Research, 62(1) 1-7 (2020).
R. M. Zulqarnain, M. Saeed, N. Ahmad, F. Dayan, Application of TOPSIS Method for Decision Making, International Journal of Scientific Research in Mathematical and Statistical Sciences, Volume-7(2) 76-81 (2020).
R. M. Zulqarnain., S. Abdal., B.E. Ali, and L. Ali. Selection of Medical Clinic for Disease Diagnosis by Using TOPSIS Method. International Journal of Pharmaceutical Sciences Review and Research, 61(1) 22-27 (2020).
M Saqlain., N. Jafar., S. Moin, M. Saeed, and S. Broumi, Single and Multi-valued Neutrosophic Hypersoft set and Tangent Similarity Measure of Single valued Neutrosophic Hypersoft Sets. Neutrosophic Sets and Systems, 32:317-329(2020).
M. Saeed., M. Saqlain., A. Mahmood, and K. Naseer. Multi-Polar Neutrosophic Soft Sets with Application in Medical Diagnosis and Decision-Making, Neutrosophic Sets and Systems, 33: 183-207 (2020).