Volume 9 , Issue 2 , PP: 60-73, 2020 | Cite this article as | XML | Html | PDF | Full Length Article
Shahzaib Ashraf 1 , Saleem Abdullah 2
Doi: https://doi.org/10.54216/IJNS.090201
A single valued neutrosophic set (SVNS) is a useful tool to portray uncertainty in multi attribute decisionmaking. In this article, we develop hybrid averaging and hybrid geometric aggregation operator using sine trigonometric function to handle uncertainty in single valued Neutrosophic information, which are, sine trigonometricsingle valued neutrosophic hybrid weighted averaging (ST-SVNHWA) operator and , sine trigonometric-single valued neutrosophic hybrid weighted geometric (ST-SVNHWG) operator. We investigate properties, namely, idempotancy, monotonicity and boundedness for the proposed operators. Moreover, we give an algorithm to solve multi criteria decision-making issues which involve SVN information with ST-SVNHWA and STSVNHWG operators. Finally, an illustrative example of agricultural land selection is provided to verify the effectiveness. Sensitivity and comparative analyses are also implemented to assess the stability and validity of our method.
Single valued neutrosophic set, Sine trigonometric single valued Neutrosophic information,Agriculture land selection,Decision Support
[1] Ashraf, S., Abdullah, S. and Mahmood, T., ”GRA method based on spherical linguistic fuzzy Choquet integral environment and its application in multi-attribute decision-making problems”, Mathematical Sciences, 12(4), pp.263-275, 2018.
[2] Ashraf, S. and Abdullah, S., ”Spherical aggregation operators and their application in multiattribute group decision-making”, International Journal of Intelligent Systems, 34(3), pp.493-523, 2019.
[3] Ashraf, S., Abdullah, S., Mahmood, T., Ghani, F. and Mahmood, T., ”Spherical fuzzy sets and their applications in multi-attribute decision making problems”, Journal of Intelligent & Fuzzy Systems, 36(3), pp.2829-2844, 2019.
[4] Ashraf, S., Abdullah, S., Zeng, S., Jin, H. and Ghani, F., ”Fuzzy Decision Support Modeling for Hydrogen Power Plant Selection Based on Single Valued Neutrosophic Sine Trigonometric Aggregation Operators”, Symmetry, 12(2), p.298, 2020.
[5] Ashraf, S., Abdullah, S., Khan, S., ”Fuzzy Decision support modeling for internet finance soft power evaluation Based on sine trigonometric Pythagorean fuzzy information”, Journal of Ambient Intelligence and Humanized Computing, 2020. (Pre print)
[6] Ashraf, S., Mahmood, T., Abdullah, S. and Khan, Q., ”Different approaches to multi-criteria group decision making problems for picture fuzzy environment”, Bulletin of the Brazilian Mathematical Society, New Series, 50(2), pp.373-397, 2019.
[7] Ashraf, S., Abdullah, S., Mahmood, T. and Aslam, M., ”Cleaner production evaluation in gold mines using novel distance measure method with cubic picture fuzzy numbers”, International Journal of Fuzzy Systems, 21(8), pp.2448-2461, 2019.
[8] Ashraf, S., Abdullah, S., Aslam, M., Qiyas, M. and Kutbi, M.A., ”Spherical fuzzy sets and its representation of spherical fuzzy t-norms and t-conorms”, Journal of Intelligent & Fuzzy Systems, 36(6), pp.6089-6102, 2019.
[9] Ashraf, S., Abdullah, S. and Mahmood, T., ”Spherical fuzzy Dombi aggregation operators and their application in group decision making problems”, Journal of Ambient Intelligence and Humanized Computing, 11, pp.2731-2749, 2020.
[10] Ashraf, S., Abdullah, S. and Aslam, M., ”Symmetric sum based aggregation operators for spherical fuzzy information: Application in multi-attribute group decision making problem”, Journal of Intelligent & Fuzzy Systems, 38(4), pp.5241-5255, 2020.
[11] Ashraf, S., Abdullah, S. and Abdullah, L., ”Child development influence environmental factors determined using spherical fuzzy distance measures”, Mathematics, 7(8), p.661, 2019.
[12] Ashraf, S., Abdullah, S. and Smarandache, F., ”Logarithmic hybrid aggregation operators based on single valued neutrosophic sets and their applications in decision support systems”, Symmetry, 11(3), p.364,2019.
[13] Atanassov, K.T., ”Intuitionistic fuzzy sets”, Fuzzy Set and systems, 20, pp.87-96, 1986.
[14] Barukab, O., Abdullah, S., Ashraf, S., Arif, M. and Khan, S.A., ”A New Approach to Fuzzy TOPSIS
Method Based on Entropy Measure under Spherical Fuzzy Information”, Entropy, 21(12), p.1231, 2019.
[15] Batool, B., Ahmad, M., Abdullah, S., Ashraf, S. and Chinram, R., ”Entropy Based Pythagorean Probabilistic Hesitant Fuzzy Decision Making Technique and Its Application for Fog-Haze Factor Assessment Problem”, Entropy, 22(3), p.318, 2020.
[16] Berti, L.A.C., ”Application of the neutrosophic system to tax havens with a criminal approach”, International Journal of Neutrosophic Science, 5(2), pp.91-106, 2020.
[17] Cuong, B.C. and Kreinovich, V., ”Picture Fuzzy Sets-a new concept for computational intelligence problems”, In 2013 Third World Congress on Information and Communication Technologies (WICT 2013) (pp. 1-6), IEEE, 2013.
[18] Garg, H., ”Novel single-valued neutrosophic aggregated operators under Frank norm operation and its application to decision-making process”, International Journal for Uncertainty Quantification, 6(4), pp.361-375, 2016.
[19] Garg, H., ”New logarithmic operational laws and their applications to multiattribute decision-making for
single-valued neutrosophic numbers”, Cogn. Syst. Res., 52, pp.931-946, 2018.
[20] Jin, H., Ashraf, S., Abdullah, S., Qiyas, M., Bano, M. and Zeng, S., ”Linguistic spherical fuzzy aggregation operators and their applications in multi-attribute decision making problems”, Mathematics, 7(5),p.413, 2019.
[21] Jin, Y., Ashraf, S. and Abdullah, S., ”Spherical fuzzy logarithmic aggregation operators based on entropy
and their application in decision support systems”, Entropy, 21(7), p.628, 2019.
[22] Ji, P., Wang, J.Q. and Zhang, H.Y., ”Frank prioritized Bonferroni mean operator with single-valued
neutrosophic sets and its application in selecting third-party logistics providers”, Neural Computing and
Applications, 30(3), pp.799-823, 2018.
[23] Khan, M.A., Ashraf, S., Abdullah, S. and Ghani, F., ”Applications of probabilistic hesitant fuzzy rough
set in decision support system”, Soft Computing, 2020. https://doi.org/10.1007/s00500-020-04971-z
[24] Khan, A.A., Ashraf, S., Abdullah, S., Qiyas, M., Luo, J. and Khan, S.U., ”Pythagorean fuzzy Dombi
aggregation operators and their application in decision support system”, Symmetry, 11(3), p.383, 2019.
[25] Khan, M.J., Kumam, P., Liu, P., Kumam, W. and Ashraf, S., ”A novel approach to generalized intuitionistic fuzzy soft sets and its application in decision support system”, Mathematics, 7(8), p.742, 2019.
[26] Khan, S., Abdullah, S. and Ashraf, S., ”Picture fuzzy aggregation information based on Einstein operations and their application in decision making”, Mathematical Sciences, 13(3), pp.213-229, 2019
[27] Khan, M., Beg, I. and Gulistan, M., ”Exponential Laws and Aggregation Operators on Neutrosophic
Cubic Sets”, International Journal of Neutrosophic Science, 4(1), pp.47-71, 2020.
[28] Liu, P., Khan, Q., Mahmood, T., Smarandache, F. and Li, Y., ”Multiple attribute group decision making
based on 2-tuple linguistic neutrosophic Dombi power Heronian mean operators”/, IEEE Access, 7,
pp.100205-100230, 2019.
[29] Liu, P., Khan, Q. and Mahmood, T., ”Some single-valued neutrosophic power muirhead mean operators
and their application to group decision making”, Journal of Intelligent & Fuzzy Systems, 37(2), pp.2515-
2537, 2019.
[30] Liu, P., Mahmood, T. and Khan, Q., ”Group decision making based on power Heronian aggregation
operators under linguistic neutrosophic environment”, International Journal of Fuzzy Systems, 20(3),
pp.970-985, 2018.
[31] Liu, P., Khan, Q. and Mahmood, T., ”Group decision making based on power Heronian aggregation
operators under neutrosophic cubic environment”, Soft Computing, 24(3), pp.1971-1997, 2020.
[32] Liu, P., Chu, Y., Li, Y. and Chen, Y., ”Some generalized neutrosophic number Hamacher aggregation
operators and their application to group decision- making”, International Journal of fuzzy systems, 16(2),
pp.242-255, 2014.
[33] Peng, J.J., Wang, J.Q., Wang, J., Zhang, H.Y. and Chen, X.H., ”Simplified neutrosophic sets and their
applications in multi-criteria group decision-making problems”, International journal of systems science,
47(10), pp.2342-2358, 2016.
[34] Qiyas, M., Abdullah, S., Ashraf, S. and Abdullah, L., ”Linguistic Picture Fuzzy Dombi Aggregation
Operators and Their Application in Multiple Attribute Group Decision Making Problem”, Mathematics,
7(8), p.764, 2019.
[35] Qiyas, M., Abdullah, S., Ashraf, S. and Aslam, M., ”Utilizing linguistic picture fuzzy aggregation operators for multiple-attribute decision-making problems”, International Journal of Fuzzy Systems, 22(1),pp.310-320, 2020.
[36] Rana, S., Saeed, M., Qayyum, M. and Smarandache, F., ”Plithogenic Subjective Hyper-Super-Soft Matrices with New Definitions & Local, Global, Universal Subjective Ranking Model”, International Journal of Neutrosophic Science, 6(2), pp.56-79, 2020.
[37] Rafiq, M., Ashraf, S., Abdullah, S., Mahmood, T. and Muhammad, S., ”The cosine similarity measures of spherical fuzzy sets and their applications in decision making”, Journal of Intelligent & Fuzzy Systems,
36(6), pp.6059-6073, 2019.
[38] Smarandache, F., ”Neutrosophy Neutrosophic Probability, Set and Logic”, American Research Press,
(1998) Rehoboth, USA.
[39] Sajjad Ali Khan, M., Abdullah, S., Yousaf Ali, M., Hussain, I. and Farooq, M., ”Extension of TOPSIS method base on Choquet integral under interval-valued Pythagorean fuzzy environment”, Journal of
Intelligent & Fuzzy Systems, 34(1), pp.267-282, 2018.
[40] Wang, H., Smarandache, F., Zhang, Y.Q. and Sunderraman, R., ”Single valued neutrosophic sets”, Multispace and Multistructure, 4, pp.410-413, 2010.
[41] Xu, Z., ”Intuitionistic fuzzy aggregation operators”, IEEE Transactions on fuzzy systems, 15(6),
pp.1179-1187, 2007.
[42] Ye, J., ”Multicriteria decision-making method using the correlation coefficient under single-valued neutrosophic environment”, International Journal of General Systems, 42(4), pp.386-394, 2013.
[43] Ye, J., ”Exponential operations and aggregation operators of interval neutrosophic sets and their decisionmaking methods”, SpringerPlus 2016, 5, 1488.
[44] Ye, J., ”Subtraction and division operations of simplified neutrosophic sets”, Information, 8(51), 2017.
[45] Yager, R.R., ”On ordered weighted averaging aggregation operators in multi criteria decision making”,
IEEE Transactions on systems, Man, and Cybernetics, 18(1), pp.183-190, 1988.
[46] Yager, R.R., ”Pythagorean membership grades in multicriteria decision making”, IEEE Transactions on
Fuzzy Systems, 22(4), pp.958-965, 2013.
[47] Zadeh, L.A., ”Fuzzy sets”, Information and control, 8(3), pp.338-353, 1965.
[48] Zeng, S., Hussain, A., Mahmood, T., Irfan Ali, M., Ashraf, S. and Munir, M., ”Covering-based spherical fuzzy rough set model hybrid with TOPSIS for multi-attribute decision-making”, Symmetry, 11(4),
p.547, 2019.
[49] Zeng, S., Chen, S.M. and Kuo, L.W., ”Multiattribute decision making based on novel score function of
intuitionistic fuzzy values and modified VIKOR method”, Information Sciences, 488, pp.76-92, 2019.
[50] Zhang, X.; Bo, C.; Smarandache, F.; Dai, J., ”New inclusion relation of neutrosophic sets with applications and related lattice structure”, Int. J. Mach. Learn. Cybern., 9, pp.1753-1763, 2018.