Picture fuzzy hypersoft topsis method based on correlation coefficient

Document Type : Research Paper

Authors

Department of Mathematics, Annamalai University, Tamil Nadu, India.

Abstract

Considering today’s complexity, we may have to deal with numbers that are dependent, like those of positive, neutral
and negative values and require multi- attributes function. Also,the most significant factor is to combine these numbers to generate a single real number. When decision-makers come across such an environment, the decisions are harder to make and decision makers cannot use the soft set theory, a single attribute function. To overcome this hindrance, we introduce the notion of picture fuzzy hypersoft set with technique of order of preference by similarity to ideal solution (TOPSIS) method. This eventually helps the decisionmaker to collect the data without any misconceptions. We present
some properties of the correlation coefficient and aggregation operators on it. Also, we propose an algorithm for the TOPSIS method based on correlation coefficients to identify a suitable leader, who can bring changes to society in the socio-political context. Finally,we present a comparative study with existing studies to show the effectiveness of the proposed method.

Keywords

References

[1] M. Abdel-Basset et al.,An Approach of TOPSIS Technique for Developing Supplier Selection with Group Decision Making under Type-2 Neutrosophic Number, Applied Soft Computing, 77 (2019), 438-452.
[2] M. Abdel-Baset et al.,An Integrated Neutrosophic ANP and VIKOR Method for Achieving Sustainable Supplier Selection: A Case Study in Importing Field, Computers in Industry, 106 (2019), 94-110.
[3] R. Arora and G. Harish, A Robust Aggregation Operators for Multi-Criteria Decision-Making with Intuitionistic Fuzzy Soft Set Environment, Scientia Iran-ica, 25 (2017), 931-942
[4] K.T. Atanassov, Intuitionistic Fuzzy Sets, Fuzzy Sets and Systems, 20 (1986), 87-96.
[5] B.C. Cuong, Picture fuzzy sets, Journal of Computer Science and Cybernetics, 30 (2014), 409-420.
[6] P.A. Ejegwa, I.C. Onyeke and V. Adah, An algorithm for an improved intuitionistic fuzzy correlation measure with medical diagnostic application, Annals of Optimization Theory and Practices, 3 (2020), 51-68.
[7] M.U. Farooq and M. Saqlain, The Application of Neutrosophic Hypersoft Set TOPSIS (NHSS-TOPSIS) in the Selection of Carbon Nano Tube based Field E ective Transistors CNTFETs, Neutrosophic Sets and Systems, 43 (2021), 212-224.
[8] K.G. Fatma and K. Cengiz, Spherical Fuzzy Sets and Spherical Fuzzy TOPSIS Method, Journal of Intelligent and Fuzzy Systems, 36 (2019), 337-352.
[9] S. Florentin, A Unifying Field in Logics: Neutrosophic Logic, American Research Press, (1999).
[10] S. Florentin, Extension of Soft Set to Hypersoft Set, and then to Plithogenic Hypersoft Set, Neutrosophic Sets and Systems, 22 (2018), 168-170.
[11] A.H. Ganie, S. Singh, and P.K. Bhatia, Some new correlation coecients of picture fuzzy sets with applications. Neural Computing and Applications, 32 (2020), 12609-12625.
[12] G. Harish and A. Rishu, TOPSIS method based on correlation coecient for solving decision-making problems with intuitionistic fuzzy soft set, AIMS Mathematics, 5 (2020), 2944-2966.
[13] M. Ihsan, A.U. Rahman, and M. Saeed, Hypersoft Expert Set With Application in Decision Making for Recruitment Process, Neutrosophic Sets and Systems, 42 (2021), 191-207.
[14] C. Jana and P. Madhumangal, A Robust Single-Valued Neutrosophic Soft Aggregation Operators in Multi-Criteria Decision Making, Symmetry, 11 (2019), 110.
[15] A.M. Khalil, S.G. Li, H. Garg, H. Li and S. Ma, New Operations on Interval-Valued Picture Fuzzy Set, Interval-Valued Picture Fuzzy Soft Set and Their Applications, IEEE Access, 7 (2019), 51236-51253.
[16] D. Molodtsov, Soft set theory-First results, Comput. Math. Appl., 37 (1999), 19-31.
[17] S. Muhammad; S. Moin; M.N. Jafar; M. Saeed; and S. Florentin , Aggregate
Operators of Neutrosophic Hypersoft Set, Neutrosophic Sets and Systems, 32 (2020), 294-306.
[18] A.U. Rahman, M. Saeed, F. Smarandache and M.R. Ahmad, Development of Hybrids of Hypersoft Set with Complex Fuzzy Set, Complex Intuitionistic Fuzzy set and Complex Neutrosophic Set, Neutrosophic Sets and Systems, 38 (2020),
335-354.
[19] A.U. Rahman, M. Saeed, F. Smarandache, Convex and Concave Hypersoft Sets with Some Properties, Neutrosophic Sets and Systems, 38 (2020), 497-508.
[20] A.U. Rahman, M. Saeed and A. Dhital, Decision Making Application Based on Neutrosophic Parameterized Hypersoft Set Theory, Neutrosophic Sets and Systems 41 (2021), 1-14.
[21] A.U. Rahman, M. Saeed, and A. Hafeez, Theory of Bijective Hypersoft Set with Application in Decision Making, Punjab University Journal of Mathematics, 53 (2021), 511-526.
[22] A.U. Rahman, M. Saeed, S.S. Alodhaibi, and H.A.E.W. Khalifa, Decision Making Algorithmic Approaches Based on Parameterization of Neutrosophic Set under Hypersoft Set Environment with Fuzzy, Intuitionistic Fuzzy and Neutrosophic
Settings, Computer Modeling in Engineering and Sciences, 128 (2021), 743-777.
[23] M. Saeed, A.U. Rahman, M. Ahsan, F. Smarandache, An Inclusive Study on Fundamentals of Hypersoft Set, In Theory and Application of Hypersoft Set, Pons Publishing House, Brussels (2021), 1-23.
[24] E. Teshome Ayele; N. Thillaigovindan; B. Guta; and S. Florentin, A Two Stage Interval-valued Neutrosophic Soft Set Traffic Signal Control Model for Four Way Isolated signalized Intersections, Neutrosophic Sets and Systems, 38 (2020), 544-575.
[25] H. Wang, S. Florentin, Y. Zhang and R. Sunderraman, Single Valued Neutrosophic Sets, Rev. Air Force Acad., 01 (2010), 10-14.
[26] G. Wei, Some similarity measures for picture fuzzy sets and their applications, Iranian Journal of Fuzzy Systems, 15 (2018).
[27] L.A. Zadeh, Fuzzy Sets, Information and Control, 08 (1965), 338-353.
[28] R.M. Zulqarnain, X.L. Xin and M. Saeed, Extension of TOPSIS method under intuitionistic fuzzy hypersoft environment based on correlation coefficient and aggregation operators to solve decision making problem, AIMS Mathematics, 6
(2021), 2732-2755.
[29] R.M. Zulqarnain, X.L Xin, M. Saqlain, M. Saeed, S. Florentin , and M. I. Ahamad, Some Fundamental Operations on Interval Valued Neutrosophic Hypersoft Set with Their Properties, Neutrosophic sets and systems, 40 (2021),
134-148.
Journal of Hyperstructures
Volume 10, Issue 2
December 2021
Pages 86-107

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