A Review on Z-Numbers

  • Authors

    • Saeed Bahrami
    • Razali Yaakob
    • Azreen Azman
    • Rodziah Atan
    2018-12-09
    https://doi.org/10.14419/ijet.v7i4.31.25469
  • Decision Making, Multi Criteria Decision Making, Multi-Attribute Decision Making, Z-information, Z-numbers

  • Abstract

    Reliable information is very important to make accurate and right decision. The concept of Z-number can be used to describe the real-life information into computer-understandable that is relates to the issue of reliability information. This concept has a potential for many application such as Engineering, Management, Education, Mathematics, and also in many other fields. In this paper, applications and methodologies of the Z-numbers are reviewed systematically since 2011 until 2018 from several online databases such as ScienceDirect, Springer, Emerald, Wiley, and Taylor & Francis. The studied articles are grouped into four categories: the concepts papers, new approach papers, develop methods, and application papers.

     

     

  • References

    1. [1] Zeinalova, L.M., (2014), "Expected Utility Based Decision Making Under Z-information", Intelligent Automation and Soft Computing, 20 (3), 419–431. http://dx.doi.org/10.1080/10798587.2014.901650

      [2] Von Neumann, J., & Morgenstern, O., (1947), "Theory of games and economic behaviour", Princeton University Press.

      [3] Savage, L.J., (1954), "The foundations of statistics", New York: Wiley.

      [4] Montero, J., & Ruan, D., (2010), "Modeling Uncertaintyâ€, Information Sciences, 180(6), 799–802.

      [5] Kang B., Wei D., Li Y., & Deng Y., (2012), "A Method of Converting Z-number to Classical Fuzzy Number", Journal of Information & Computational Science, 9(3), 703-709.

      [6] Zadeh, L.A., (2011), "A note on Z-numbersâ€, Information Sciences, 181(14), 2923-2932.

      [7] Deng, Y., & Chan, F.T.S., (2011), "A new fuzzy demister MCDM method and its application in supplier selection", Expert Systems with Applications, 38, 9854-986

      [8] Yager, R., (2012), "On Z-Valuations Using Zadeh’s Z-Numbers", International Journal Of Intelligent Systems, vol. 27, 259–278.

      [9] Soroudi, A., & Amraee, T., (2013), "Decision making under uncertainty in energy systems: State of the artâ€, Elsevier, Renewable and Sustainable Energy Reviews, in 2013, 28 : 376-384

      [10] Azadeh, A., Saberib, M., Zandi Atashbara, N., Chang, E., & Pazhoheshfar, P., (2013), "Z-AHP: A Z-number Extension of Fuzzy Analytical Hierarchy Process. Digital Ecosystems and Technologies (DEST)," in 7th IEEE International Conference on 2013, DOI: 10.1109/DEST.2013.6611344

      [11] Salari, M., & Wang, J., (2014), "A novel earned value management model using Z-number", International Journal of Applied Decision Sciences. DOI: 10.1504/IJADS.2014.058037

      [12] Aliev, R., & Memmedova, K., (2015), "Application of ð‘-Number Based Modeling in Psychological Research", Computational Intelligence and Neuroscience, vol. 2015. http://dx.doi.org/10.1155/2015/760403

      [13] Yaakob, A.M., & Gegov, A., (2015), "Fuzzy Rule Based Approach with Z-Numbers for Selection of Alternatives using TOPSIS", IEEE International Conference on Fuzzy Systems, Istanbul, Turkey, DOI: 10.1109/FUZZ-IEEE.2015.7337862

      [14] Sadi-Nezhad, S., & Sotoudeh-Anvari1, A., (2016), "A new Data Envelopment Analysis under uncertain environment with respect to fuzziness and an estimation of reliability", OPSEARCH March 2016, vol. 53(1), 103–115 .

      [15] Ashikin Sahrom, N.A., & Mohd Dom, R., (2015), "A Z-number Extension of the Hybrid Analytic Hierarchy Process – Fuzzy Data Envelopment Analysis for Risk Assessment," International Conference on Research and Education in Mathematics (ICREM7), DOI: 10.1109/ICREM.2015.7357019

      [16] Aliev, R.A., Alizadeh A. V., Huseynov, O. H., & Jabbarova K. I., (2016), "Z-Number-Based Linear Programming," International Journal of Intelligent System, vol. 30, 563-589.

      [17] Jiang, W., Xie, C., Zhuang, M., Shou, Y., & Tang, Y., (2016), "Sensor Data Fusion with Z-Numbers and Its Application in Fault Diagnosis," Sensors, 16(9), 1509; doi:10.3390/s16091509

      [18] Aliyev, R., (2016), "Multi-attribute decision making based on z-valuation," 12th International Conference on Application of Fuzzy Systems and Soft Computing, Vienna, Austria.

      [19] Agakishiyev, E., (2016), "Supplier selection problem under Z-information", Procedia Computer Science 102, 418 – 425.

      [20] Kang, B., Deng, Y., & Sadiq, R., (2018), "Total utility of Z-number," Applied Intelligence, vol. 48(3), 703–729.

      [21] Aliev, R. A., & Zeinalova, L. M., (2014), "Decision Making Under Z-Information", Human-Centric Decision-Making Models for Social Sciences, 233-252.

      [22] Zeinalova, L. M., (2014), "Choquet aggregation base decision making under Z-information", ICTACT Journal on Soft Computing, vol. 04(4), 819-824.

      [23] Zeinalova, L. M., & Mammadova, M.A., (2016), "Decision making on oil extraction under z-information", Procedia Computer Science, vol. 102 (2016), 168-175.

      [24] Peng, H.G., & Wang, J.Q., (2017), "Hesitant Uncertain Linguistic Z-Numbers and Their Application in Multi-criteria Group Decision-Making Problems," International Journal of Fuzzy Systems, vol. 19(5), 1300–1316.

      [25] Azadeh, A., & Kokabi, R., (2016), "Z-number DEA: A new possibilistic DEA in the context of Z-numbers," Advanced Engineering Informatics 30 (3), 604–617.

      [26] Kokabi, R., Azadeh, A., Saberi, M, & Hussain, F.K., (2014), "Trust Prediction Using Z-numbers and Artificial Neural Networks", IEEE Fuzzy Systems Conference, China.

      [27] Sadikoglu, F., Huseynov, O., & Memmedova, K., (2016), "Z-Regression analysis in psychological and educational researches", Procedia Computer Science, 102 (2016), 385 – 389.

      [28] Dong Qiu, D., Xing, Y., & Dong, R., (2018), "On Ranking of Continuous Z-Numbers with Generalized Centroids and Optimization Problems Based on Z-Numbers," International Journal of Intelligent Systems, vol. 33(1), 3-14.

      [29] Stefanini L., (2010), "A generalization of Hukuhara difference and division for interval and fuzzy arithmetic", Fuzzy Set System, vol. 161(11), 1564–1584.

      [30] Huseynov OH, Aliev RA, Aliyev RR, Alizadeh AA. The arithmetic of Z-numbers: theory

      [31] and applications. Singapore: World Scientiï¬c; 2015.

      [30] Huseynov, O.H., Aliev, R.A., Aliyev, R.R., & Alizadeh, A.A., (2015), “The arithmetic of Z-numbers: theory and applicationsâ€, Singapore: World Scientiï¬c Publishing

  • Downloads

  • How to Cite

    Bahrami, S., Yaakob, R., Azman, A., & Atan, R. (2018). A Review on Z-Numbers. International Journal of Engineering & Technology, 7(4.31), 487-490. https://doi.org/10.14419/ijet.v7i4.31.25469

    Received date: 2019-01-06

    Accepted date: 2019-01-06

    Published date: 2018-12-09