ORIGINAL ARTICLE
Novel neutrosophic Dombi Bonferroni mean operators with mobile cloud computing industry evaluation
Xindong Peng,
Florentin Smarandache,
Corresponding Author
Xindong Peng
School of Information Science and Engineering, Shaoguan University, Shaoguan, China
Correspondence
Xindong Peng, School of Information Science and Engineering, Shaoguan University, Shaoguan 512005, China.
Email: [email protected]
Search for more papers by this authorFlorentin Smarandache
Department of Mathematics and Sciences, University of New Mexico, Gallup, New Mexico, USA
Search for more papers by this authorXindong Peng,
Florentin Smarandache,
Corresponding Author
Xindong Peng
School of Information Science and Engineering, Shaoguan University, Shaoguan, China
Correspondence
Xindong Peng, School of Information Science and Engineering, Shaoguan University, Shaoguan 512005, China.
Email: [email protected]
Search for more papers by this authorFlorentin Smarandache
Department of Mathematics and Sciences, University of New Mexico, Gallup, New Mexico, USA
Search for more papers by this authorAbstract
In the age of mobile cloud computing, we are confronted by mobility, diversity of network access types, frequent network disconnection and poor reliability, and security with complex structures. Mobile cloud computing industry decision making is crucially important for countries or societies to enhance the effectiveness and validity of leadership, which can greatly expedite industrialized and large-scale development. In the case of mobile cloud computing industry decision evaluation, the indispensable issue arises serious inexactness, fuzziness, and ambiguity. Single-valued neutrosophic set, disposing the indeterminacy portrayed by truth membership T, indeterminacy membership I, and falsity membership F, is a more viable and effective means to seize indeterminacy. The main purpose of the current paper is to investigate the novel operations on single-valued neutrosophic number (SVNN) based on Dombi Bonferroni mean (DBM) and Dombi geometric Bonferroni mean (DGBM) operator, which have the enormous advantage of high flexibility with adjustable parameters. Moreover, we employ the DBM operator to present single-valued neutrosophic DBM (SVNDBM) operator, single-valued neutrosophic weighted DBM (SVNWDBM) operator, single-valued neutrosophic DGBM (SVNDGBM), operator and single-valued neutrosophic weighted DGBM (SVNWDGBM) operator for disposing with the aggregation of SVNNs and develop two multiple attribute decision making methods based on SVNWDBM and SVNWDGBM. The validity of algorithms are illustrated by a mobile cloud computing industry decision making issue, along with the sensitivity analysis of diverse parameters on the ranking. Finally, a comparison of the developed with the existing single-valued neutrosophic decision making methods has been executed for displaying their effectiveness.
CONFLICT OF INTERESTS
none.
REFERENCES
- Alcantud, J. C. R., & Mathew, T. J. (2017). Separable fuzzy soft sets and decision making with positive and negative attributes. Applied Soft Computing, 59, 586–595. https://doi.org/10.1016/j.asoc.2017.06.010
- Alizadeh, M., Abolfazli, S., Zamani, M., Baharun, S., & Sakurai, K. (2016). Authentication in mobile cloud computing: A survey. Journal of Network and Computer Applications, 61, 59–80. https://doi.org/10.1016/j.jnca.2015.10.005
- Arpaci, I. (2019). A hybrid modeling approach for predicting the educational use of mobile cloud computing services in higher education. Computers in Human Behavior, 90, 181–187. https://doi.org/10.1016/j.chb.2018.09.005
- Atanassov, K. T. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1), 87–96. https://doi.org/10.1016/S0165-0114(86)80034-3
- Bonferroni, C. (1950). Sulle medie multiple di potenze. Bolletino Matematica Italiana, 5(3-4), 267–270. http://eudml.org/doc/196058
- Chen, J., & Ye, J. (2017). Some single-valued neutrosophic Dombi weighted aggregation operators for multiple attribute decision-making. Symmetry, 9(6), 1–11. https://doi.org/10.3390/sym9060082
- Dombi, J. (1982). A general class of fuzzy operators, the de-morgan class of fuzzy operators and fuzziness induced by fuzzy operators. Fuzzy Sets and Systems, 8(2), 149–163. https://doi.org/10.1016/0165-0114(82)90005-7
- El-Hefenawy, N., Metwally, M. A., Ahmed, Z. M., & El-Henawy, I. M. (2016). A review on the applications of neutrosophic sets. Journal of Computational and Theoretical Nanoscience, 13(1), 936–944. https://doi.org/10.1166/jctn.2016.4896
- Enayet, A., Razzaque, M. A., Hassan, M. M., Alamri, A., & Fortino, G. (2018). A mobility-aware optimal resource allocation architecture for big data task execution on mobile cloud in smart cities. IEEE Communications Magazine, 56(2), 110–117. https://doi.org/10.1109/MCOM.2018.1700293
- Fernando, N., Loke, S. W., & Rahayu, W. (2013). Mobile cloud computing: A survey. Future Generation Computer Systems, 29(1), 84–106. https://doi.org/10.1016/j.future.2012.05.023
- Garg, H., & Nancy (2018a). Multi-criteria decision-making method based on prioritized muirhead mean aggregation operator under neutrosophic set environment. Symmetry, 10(7), 1–25. https://doi.org/10.3390/sym10070280
- Garg, H., & Nancy (2018b). New logarithmic operational laws and their applications to multiattribute decision making for single-valued neutrosophic numbers. Cognitive Systems Research, 52, 931–946. https://doi.org/10.1016/j.cogsys.2018.09.001
- Han, L., & Wei, C. (2017). Group decision making method based on single valued neutrosophic choquet integral operator. Operations Research, 21(2), 110–118. https://doi.org/10.15960/j.cnki.issn.1007-6093.2017.02.012
- Hayat, K., Ali, M., Cao, B. Y., Karaaslan, F., & Yang, X. P. (2018). Another view of aggregation operators on group-based generalized intuitionistic fuzzy soft sets: Multi-attribute decision making methods. Symmetry, 10(12), 1–26. https://doi.org/10.3390/sym10120753
- Huang, H. H., & Liang, Y. (2018). Hybrid l1/2+ 2 method for gene selection in the Cox proportional hazards model. Computer Methods and Programs in Biomedicine, 164, 65–73. https://doi.org/10.1016/j.cmpb.2018.06.004
- Ji, P., Wang, J. Q., & Zhang, H. Y. (2018). 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), 799–823. https://doi.org/10.1007/s00521-016-2660-6
- Karaaslan, F. (2018). Gaussian single-valued neutrosophic numbers and its application in multi-attribute decision making. Neutrosophic Sets and Systems, 22(1), 101–117.
- Karaaslan, F. (2019). Correlation coefficient of neutrosophic sets and its applications in decision-making. In C. Kahraman, & I. Otay (Eds.), Fuzzy multi-criteria decision-making using neutrosophic sets. Cham: Springer, pp. 327–360.
10.1007/978-3-030-00045-5_13 Google Scholar
- Karaaslan, F., & Hayat, K. (2018). Some new operations on single-valued neutrosophic matrices and their applications in multi-criteria group decision making. Applied Intelligence, 48(12), 4594–4614. https://doi.org/10.1007/s10489-018-1226-y
- Li, Y., Liu, P., & Chen, Y. (2016). Some single valued neutrosophic number heronian mean operators and their application in multiple attribute group decision making. Informatica, 27(1), 85–110. https://doi.org/10.15388/Informatica.2016.78
- Liu, P. (2016). The aggregation operators based on archimedean t-conorm and t-norm for single-valued neutrosophic numbers and their application to decision making. International Journal of Fuzzy Systems, 18(5), 849–863. https://doi.org/10.1007/s40815-016-0195-8
- Liu, P., Chu, Y., Li, Y., & Chen, Y. (2014). Some generalized neutrosophic number hamacher aggregation operators and their application to group decision making. International Journal of Fuzzy Systems, 16(2), 242–255.
- Liu, P., Liu, J., & Chen, S. M. (2018). Some intuitionistic fuzzy Dombi Bonferroni mean operators and their application to multi-attribute group decision making. Journal of the Operational Research Society, 69(1), 1–24. https://doi.org/10.1057/s41274-017-0190-y
- Liu, P., & Wang, Y. (2014). Multiple attribute decision-making method based on single-valued neutrosophic normalized weighted Bonferroni mean. Neural Computing and Applications, 25(7-8), 2001–2010. https://doi.org/10.1007/s00521-014-1688-8
- Liu, Y., Zhang, Y., Ling, J., & Liu, Z. (2018). Secure and fine-grained access control on e-healthcare records in mobile cloud computing. Future Generation Computer Systems, 78(3), 1020–1026. https://doi.org/10.1016/j.future.2016.12.027
- Mazza, D., Pages-Bernaus, A., Tarchi, D., Juan, A. A., & Corazza, G. E. (2018). Supporting mobile cloud computing in smart cities via randomized algorithms. IEEE Systems Journal, 12(2), 1598–1609. https://doi.org/10.1109/JSYST.2016.2578358
- Mondal, K., Pramanik, S., Giri, B. C., & Smarandache, F. (2018). NN-Harmonic mean aggregation operators-based MCGDM strategy in a neutrosophic number environment. Axioms, 7(1), 1–16. https://doi.org/10.3390/axioms7010012
- Nancy, & Garg, H. (2016). Novel single-valued neutrosophic aggregated operators under Frank norm operation and its application to decision-making process. International Journal for Uncertainty Quantification, 6(4), 361–375. https://doi.org/10.1615/Int.J.UncertaintyQuantification.2016018603
- Nguyen, G. N., Ashour, A. S., & Dey, N. (2019). A survey of the state-of-the-arts on neutrosophic sets in biomedical diagnoses. International Journal of Machine Learning and Cybernetics, 10(1), 1–13. https://doi.org/10.1007/s13042-017-0691-7
- Nir, M., Matrawy, A., & St-Hilaire, M. (2018). Economic and energy considerations for resource augmentation in mobile cloud computing. IEEE Transactions on Cloud Computing, 6(1), 99–113. https://doi.org/10.1109/TCC.2015.2469665
- Noor, T. H., Zeadally, S., Alfazi, A., & Sheng, Q. Z. (2018). Mobile cloud computing: Challenges and future research directions. Journal of Network and Computer Applications, 115, 70–85. https://doi.org/10.1016/j.jnca.2018.04.018
- Peng, X. (2019a). Neutrosophic reducible weighted Maclaurin symmetric mean for undergraduate teaching audit and evaluation. IEEE Access, 7, 18634–18648. https://doi.org/10.1109/ACCESS.2019.2896701
- Peng, X. (2019b). New multiparametric similarity measure and distance measure for interval neutrosophic set with IoT industry evaluation. IEEE Access, 7, 28258–28280. https://doi.org/10.1109/ACCESS.2019.2902148
- Peng, X., & Dai, J. (2017a). Algorithms for interval neutrosophic multiple attribute decision-making based on MABAC, similarity measure, and EDAS. International Journal for Uncertainty Quantification, 7(5), 395–421. https://doi.org/10.1615/Int.J.UncertaintyQuantification.2017020416
- Peng, X., & Dai, J. (2017b). Approaches to Pythagorean fuzzy stochastic multi-criteria decision making based on prospect theory and regret theory with new distance measure and score function. International Journal of Intelligent Systems, 32(11), 1187–1214. https://doi.org/10.1002/int.21896
- Peng, X., & Dai, J. (2018a). Approaches to single-valued neutrosophic MADM based on MABAC, TOPSIS and new similarity measure with score function. Neural Computing and Applications, 29(10), 939–954. https://doi.org/10.1007/s00521-016-2607-y
- Peng, X., & Dai, J. (2018b). A bibliometric analysis of neutrosophic set: Two decades review from 1998 to 2017. Artificial Intelligence Review. https://doi.org/10.1007/s10462-018-9652-0
- Peng, X., Dai, J., & Garg, H. (2018). Exponential operation and aggregation operator for q-rung orthopair fuzzy set and their decision-making method with a new score function. International Journal of Intelligent Systems, 33(11), 2255–2282. https://doi.org/10.1002/int.22028
- Peng, X., & Garg, H. (2018). Algorithms for interval-valued fuzzy soft sets in emergency decision making based on WDBA and CODAS with new information measure. Computers & Industrial Engineering, 119, 439–452. https://doi.org/10.1016/j.cie.2018.04.001
- Peng, X., & Liu, C. (2017). Algorithms for neutrosophic soft decision making based on EDAS, new similarity measure and level soft set. Journal of Intelligent & Fuzzy Systems, 32(1), 955–968. https://doi.org/10.3233/JIFS-161548
- Peng, X. D., & Selvachandran, G. (2018). Pythagorean fuzzy set: State of the art and future directions. Artificial Intelligence Review. https://doi.org/10.1007/s10462-017-9596-9
- Peng, H. G., & Wang, J. Q. (2018). A multicriteria group decision-making method based on the normal cloud model with Zadeh's z-numbers. IEEE Transactions on Fuzzy Systems, 26(6), 3246–3260. https://doi.org/10.1109/TFUZZ.2018.2816909
- Peng, J. J., Wang, J., Wang, J., Zhang, H., & Chen, X. (2016). Simplified neutrosophic sets and their applications in multi-criteria group decision-making problems. International Journal of Systems Science, 47(10), 2342–2358. https://doi.org/10.1080/00207721.2014.994050
- Peng, X., & Yang, Y. (2015). Some results for Pythagorean fuzzy sets. International Journal of Intelligent Systems, 30(11), 1133–1160. https://doi.org/10.1002/int.21738
- Peng, X., & Yang, Y. (2017). Algorithms for interval-valued fuzzy soft sets in stochastic multi-criteria decision making based on regret theory and prospect theory with combined weight. Applied Soft Computing, 54, 415–430. https://doi.org/10.1016/j.asoc.2016.06.036
- Peng, X., Yuan, H., & Yang, Y. (2017). Pythagorean fuzzy information measures and their applications. International Journal of Intelligent Systems, 32(10), 991–1029. https://doi.org/10.1002/int.21880
- Smarandache, F. (1998). Neutrosophy, neutrosophic probability, set, and logic. Rehoboth: American Research Press.
- Sodenkamp, M. A., Tavana, M., & Di Caprio, D. (2018). An aggregation method for solving group multi-criteria decision-making problems with single-valued neutrosophic sets. Applied Soft Computing, 71, 715–727. https://doi.org/10.1016/j.asoc.2018.07.020
- Tian, Z. P., Wang, J. Q., & Zhang, H. Y. (2018). Hybrid single-valued neutrosophic MCGDM with QFD for market segment evaluation and selection. Journal of Intelligent & Fuzzy Systems, 34(1), 177–187. https://doi.org/10.3233/JIFS-171055
- Venkatesan, C., Karthigaikumar, P., & Satheeskumaran, S. (2018). Mobile cloud computing for ecg telemonitoring and real-time coronary heart disease risk detection. Biomedical Signal Processing and Control, 44, 138–145. https://doi.org/10.1016/j.bspc.2018.04.013
- Wang, H., Smarandache, F., Zhang, Y. Q., & Sunderraman, R. (2010). Single valued neutrosophic sets. Multispace Multistruct, 4, 410–413.
- Wang, J., Tang, X., & Wei, G. (2018). Models for multiple attribute decision-making with dual generalized single-valued neutrosophic bonferroni mean operators. Algorithms, 11(1), 1–15. https://doi.org/10.3390/a11010002
- Wang, X., Wang, J., & Zhang, H. (2018). Distance-based multicriteria group decision-making approach with probabilistic linguistic term sets. Expert Systems. 36(2), e12352. https://doi.org/10.1111/exsy.12352
- Wei, G., & Wei, Y. (2018). Some single-valued neutrosophic dombi prioritized weighted aggregation operators in multiple attribute decision making. Journal of Intelligent & Fuzzy Systems, 35, 2001–2013. https://doi.org/10.3233/JIFS-171741
- Wei, G., & Zhang, Z. (2019). Some single-valued neutrosophic bonferroni power aggregation operators in multiple attribute decision making. Journal of Ambient Intelligence and Humanized Computing, 10(3), 863–882. https://doi.org/10.1007/s12652-018-0738-y
- Wu, X. H., Wang, J. Q., Peng, J. J., & Chen, X. H. (2016). Cross-entropy and prioritized aggregation operator with simplified neutrosophic sets and their application in multi-criteria decision-making problems. International Journal of Fuzzy Systems, 18(6), 1104–1116. https://doi.org/10.1007/s40815-016-0180-2
- Xia, M., Xu, Z., & Zhu, B. (2013). Geometric Bonferroni means with their application in multi-criteria decision making. Knowledge-Based Systems, 40, 88–100. https://doi.org/10.1016/j.knosys.2012.11.013
- Yang, L., Han, Z., Huang, Z., & Ma, J. (2018). A remotely keyed file encryption scheme under mobile cloud computing. Journal of Network and Computer Applications, 106, 90–99. https://doi.org/10.1016/j.jnca.2017.12.017
- Ye, J. (2013). Multicriteria decision-making method using the correlation coefficient under single-valued neutrosophic environment. International Journal of General Systems, 42(4), 386–394. https://doi.org/10.1080/03081079.2012.761609
- Ye, J. (2014). Single valued neutrosophic cross-entropy for multicriteria decision making problems. Applied Mathematical Modelling, 38(3), 1170–1175. https://doi.org/10.1016/j.apm.2013.07.020
- Zhan, J. M., & Alcantud, J. C. R. (2018). A novel type of soft rough covering and its application to multicriteria group decision making. Artificial Intelligence Review. https://doi.org/10.1007/s10462-018-9617-3
- Zhang, X., Park, C., & Wu, S. (2018). Soft set theoretical approach to pseudo-BCI algebras. Journal of Intelligent & Fuzzy Systems, 34(1), 559–568. https://doi.org/10.3233/JIFS-17777
- Zheng, E., Teng, F., & Liu, P. (2017). Multiple attribute group decision-making method based on neutrosophic number generalized hybrid weighted averaging operator. Neural Computing and Applications, 28(8), 2063–2074. https://doi.org/10.1007/s00521-016-2180-4
