Neutrosophic Parametrized Soft Set Theory and its Decision Making

Broumi, Said; Deli, Irfan; Smarandache, Florentin

doi:10.18052/www.scipress.com/IFSL.1.1

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Neutrosophic Parametrized Soft Set Theory and its Decision Making

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Abstract:

In this work, we present definition of neutrosophic parameterized (NP) soft set and its operations. Then we define NP-aggregation operator to form NP-soft decision making method which allows constructing more efficient decision processes. We also dive an example which shows that they can be successfully applied to problem that contain indeterminacy.

Info:

Periodical:

International Frontier Science Letters (Volume 1)

Pages:

1-10

DOI:

https://doi.org/10.18052/www.scipress.com/IFSL.1.1

Citation:

S. Broumi et al., "Neutrosophic Parametrized Soft Set Theory and its Decision Making", International Frontier Science Letters, Vol. 1, pp. 1-10, 2014

Online since:

July 2014

Authors:

Said Broumi, Irfan Deli, Florentin Smarandache

Keywords:

Aggregation Operator, Neutrosophic Parameterized Soft Set, Neutrosophic Set, Neutrosophic Soft Set, Soft Set

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Open Access

This work is licensed under a
Creative Commons Attribution 4.0 International License

References:

S. Aggarwal, R. Biswas and A. Q. Ansari, Neutrosophic Modeling and Control, Computer and Communication Technology (2010) 718-723.

M. Arora, R. Biswas and U.S. Pandy, Neutrosophic Relational Database Decomposition, International Journal of Advanced Computer Science and Applications, 2/ 8 (2011) 121-125.

M. Arora and R. Biswas, Deployment of Neutrosophic Technology to Retrieve Answers for Queries Posed in Natural Language, in 3rdInternational Conference on Computer Science and Information Technology, (2010) 435-439.

Ansari, Biswas, Aggarwal, Proposal for Applicability of Neutrosophic Set Theory in Medical AI, International Journal of Computer Applications, 27/5 (2011) 5-11.

K. Atanassov. Intuitionistic Fuzzy Sets, Fuzzy Sets and Systems, 20 (1986) 87-96.

K.V. Babitha and J. J. Sunil, Generalized Intuitionistic Fuzzy Soft Sets and Its Applications , Gen. Math. Notes, 7/ 2 (2011) 1-14.

M. Bashir, A.R. Salleh, and S. Alkhazaleh, Possibility Intuitionistic Fuzzy Soft Set, Advances in Decision Sciences, doi: 10. 1155/2012/404325.

M. Borah, T. J. Neog and D. K. Sut, A study on some operations of fuzzy soft sets, International Journal of Modern Engineering Research, 2/ 2 (2012) 157-168.

S. Broumi and F. Smarandache, Intuitionistic Neutrosophic Soft Set, Journal of Information and Computing Science, 8/ 2 (2013) 130-140.

S. Broumi, Generalized Neutrosophic Soft Set, International Journal of Computer Science, Engineering and Information Technology, 3/2 (2013) 17-30.

S. Broumi, I. Deli, and F. Smarandache, Relations on Interval Valued Neutrosophic Soft Sets, Journal of New Results in Science, 5 (2014) 1-20.

N. Çağman, S. Enginoğlu, F. Çıtak Fuzzy Soft Set Theory and Its Applications. Iran J. Fuzzy Syst. 8(3) (2011) 137-147.

N. Çağman, F Çıtak , S. Enginoğlu, Fuzzy parameterized fuzzy soft set theory and its applications, Turkish Journal of Fuzzy System 1/1 (2010) 21-35.

N. Çağman, S. Karataş, Intuitionistic fuzzy soft set theory and its decision making, Journal of Intelligent and Fuzzy Systems DOI: 10. 3233/IFS-2012-0601.

N. Çağman, I. Deli, Intuitionistic fuzzy parametrized soft set theory and its decision making, Submitted.

N. Çağman, F. Karaaslan, IFP −fuzzy soft set theory and its applications, Submitted.

N. Çağman, I. Deli, Product of FP-Soft Sets and its Applications, Hacettepe Journal of Mathematics and Statistics, 41/3 (2012) 365 - 374.

N. Çağman, I. Deli, Means of FP-Soft Sets and its Applications, Hacettepe Journal of Mathematics and Statistics, 41/5 ( 2012) 615-625.

I. Deli, Interval-valued neutrosophic soft sets and its decision making, submitted.

Y. Jiang, Y. Tang, Q. Chen, H. Liu, J. Tang, Interval-valued intuitionistic fuzzy soft sets and their properties, Computers and Mathematics with Applications, 60 (2010) 906-918.

A. Kharal, A Neutrosophic Multicriteria Decision Making Method, New Mathematics and Natural Computation, Creighton University, USA, (2013).

F.G. Lupiáñez, On neutrosophic topology, Kybernetes, 37/6 (2008) 797 - 800.

P. K. Maji, A. R. Roy and R. Biswas, Fuzzy soft sets, Journal of Fuzzy Mathematics, 9/3 (2001) 589-602.

P. K. Maji, Neutrosophic Soft Set, Annals of Fuzzy Mathematics and Informatics, 5/ 1 (2013) 2287-623.

P. K. Maji, R. Biswas and A. R. Roy, Intuitionistic fuzzy soft sets, The Journal of Fuzzy Mathematics, 9/3 (2001) 677-692.

P. Majumdar, S. K. Samanta, Generalized Fuzzy Soft Sets, Computers and Mathematics with Applications, 59 (2010) 1425-1432.

D. A. Molodtsov, Soft Set Theory First Result, Computers and Mathematics with Applications, 37 (1999) 19-31.

F. Smarandache, A Unifying Field in Logics. Neutrosophy: Neutrosophic Probability, Set and Logic,. Rehoboth: American Research Press, (1999).

H. L. Yang, Notes On Generalized Fuzzy Soft Sets, Journal of Mathematical Research and Exposition, 31/ 3 (2011) 567-570.

L. A. Zadeh, Fuzzy sets, Information and Control, 8 (1965) 338-353.

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Cited By:

[1] F. Karaaslan, "Possibility neutrosophic soft sets and PNS-decision making method", Applied Soft Computing, Vol. 54, p. 403, 2017

DOI: https://doi.org/10.1016/j.asoc.2016.07.013

[2] D. Bakbak, V. Uluçay, M. Şahin, "Neutrosophic Soft Expert Multiset and Their Application to Multiple Criteria Decision Making", Mathematics, Vol. 7, p. 50, 2019

DOI: https://doi.org/10.3390/math7010050

[3] V. Uluçay, M. Şahin, N. Hassan, "Generalized Neutrosophic Soft Expert Set for Multiple-Criteria Decision-Making", Symmetry, Vol. 10, p. 437, 2018

DOI: https://doi.org/10.3390/sym10100437