Parameterized preference aggregation operators with improved adjustability

References

• Bodjanova, S., and M. Kalina. 2013. “Approximate Evaluations Based on Aggregation Functions.” Fuzzy Sets and Systems 220 (1): 34–52. doi: 10.1016/j.fss.2012.07.014
   Google Scholar
• Chen, Z., K. Chin, L. Martínez, and K. Tsui. 2018. “Customizing Semantics for Individuals with Attitudinal HFLTS Possibility Distributions.” IEEE Transactions on Fuzzy Systems 26 (6): 3452–3466. doi: 10.1109/TFUZZ.2018.2833053
   Web of Science ®Google Scholar
• Chen, Z., C. Yu, K. Chin, and L. Martínez. 2019. “An Enhanced Ordered Weighted Averaging Operators Generation Algorithm with Applications for Multicriteria Decision Making.” Applied Mathematical Modelling 71: 467–490. doi: 10.1016/j.apm.2019.02.042
   Web of Science ®Google Scholar
• Choquet, G. 1954. “Theory of Capacities.” Annales de L’institut Fourier 5: 131–295. doi: 10.5802/aif.53
   Google Scholar
• Even, Y., and E. Lehrer. 2014. “Decomposition-integral: Unifying Choquet and the Concave Integrals.” Economic Theory 56: 33–58. doi: 10.1007/s00199-013-0780-0
   Web of Science ®Google Scholar
• Grabisch, M., J. L. Marichal, R. Mesiar, and E. Pap. 2009. Aggregation Functions. Cambridge: Cambridge University Press.
   Google Scholar
• Jin, L. 2017. “Vector t-Norms with Applications.” IEEE Transactions on Fuzzy Systems 25 (6): 1644–1654. doi: 10.1109/TFUZZ.2016.2617371
   Web of Science ®Google Scholar
• Jin, L., and R. Mesiar. 2017. “The Metric Space of Ordered Weighted Average Operators with Distance Based on Accumulated Entries.” International Journal of Intelligent Systems 32 (7): 665–675. doi: 10.1002/int.21869
   Web of Science ®Google Scholar
• Jin, L., R. Mesiar, and R. R. Yager. Families of value-dependent preference aggregation operators with their structures and properties (submitted).
   Google Scholar
• Jin, L., R. Mesiar, and R. R. Yager. 2019a. “Melting Probability Measure with OWA Operator to Generate Fuzzy Measure: the Crescent Method.” IEEE Transactions on Fuzzy Systems 27 (6): 1309–1316. doi: 10.1109/TFUZZ.2018.2877605
   Web of Science ®Google Scholar
• Jin, L., R. Mesiar, and R. R. Yager. 2019b. “Ordered Weighted Averaging Aggregation on Convex Poset.” IEEE Transactions on Fuzzy Systems 27 (3): 612–617. doi: 10.1109/TFUZZ.2019.2893371
   Web of Science ®Google Scholar
• Jin, L., Radko Mesiar, and Ronald R. Yager. 2019c. “On Scatters of Probability Distributions and OWA Weights Collections.” International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 27 (5): 773–788. doi: 10.1142/S021848851950034X
   Web of Science ®Google Scholar
• Klement, E. P., and R. Mesiar. 2012. “Discrete Integrals and Axiomatically Defined Functionals.” Axioms 1 (1): 9–20. doi: 10.3390/axioms1010009
   Google Scholar
• Klement, E. P., R. Mesiar, and E. Pap. 2000. Triangular Norms. Dordrecht: Springer-Verlag, Kluwer.
   Google Scholar
• Liu, X. W. 2005. “On the Properties of Equidifferent RIM Quantifier with Generating Function.” International Journal of General Systems 34: 579–594. doi: 10.1080/00268970500067880
   Web of Science ®Google Scholar
• Liu, X. W., and Q. L. Da. 2005. “A Decision Tree Solution Considering the Decision Maker’s Attitude.” Fuzzy Sets and Systems 152: 437–454. doi: 10.1016/j.fss.2004.11.009
   Web of Science ®Google Scholar
• Mesiar, R., S. Borkotokey, L. Jin, and M. Kalina. 2018a. “Aggregation Under Uncertainty.” IEEE Transactions on Fuzzy Systems 26 (4): 2475–2478. doi: 10.1109/TFUZZ.2017.2756828
   Web of Science ®Google Scholar
• Mesiar, R., S. Borkotokey, L. Jin, and M. Kalina. 2018b. “Aggregation Functions and Capacities.” Fuzzy Sets and Systems 346 (1): 138–146. doi: 10.1016/j.fss.2017.08.007
   Google Scholar
• Mesiar, R., J. Li, and E. Pap. 2015. “Superdecomposition Integrals.” Fuzzy Sets and Systems 259: 3–11. doi: 10.1016/j.fss.2014.05.003
   Web of Science ®Google Scholar
• Mesiar, R., A. Stupňanová, and R. R. Yager. 2015. “Generalizations of OWA Operators.” IEEE Transactions on Fuzzy Systems 23: 2154–2162. doi: 10.1109/TFUZZ.2015.2406888
   Web of Science ®Google Scholar
• Pu, X., L. Jin, R. Mesiar, and R. R. Yager. 2019. “Continuous Parameterized Families of RIM Quantifiers and Quasi-Preference with Some Properties.” Information Sciences 481: 24–32. doi: 10.1016/j.ins.2018.12.068
   Web of Science ®Google Scholar
• Sugeno, M. 1974. “Theory of Fuzzy Integrals and its Applications.” PhD thesis, Tokyo Institute of Technology.
   Google Scholar
• Yager, R. R. 1988. “On Ordered Weighted Averaging Aggregation Operators in Multicriteria Decision Making.” IEEE Transactions on Systems, Man, and Cybernetics 18 (1): 183–190. doi: 10.1109/21.87068
   Web of Science ®Google Scholar
• Yager, R. R. 1996. “Quantifier Guided Aggregation Using OWA Operators.” International Journal of Intelligent Systems 11: 49–73. doi: 10.1002/(SICI)1098-111X(199601)11:1<49::AID-INT3>3.0.CO;2-Z
   Web of Science ®Google Scholar
• Yager, R. R. 2003. “Induced Aggregation Operators.” Fuzzy Sets and Systems 137: 59–69. doi: 10.1016/S0165-0114(02)00432-3
   Web of Science ®Google Scholar
• Yager, R. R., and D. P. Filev. 1999. “Induced Ordered Weighted Averaging Operators.” IEEE Transactions on Systems, Man and Cybernetics, Part B (Cybernetics) 29: 141–150. doi: 10.1109/3477.752789
   PubMed Web of Science ®Google Scholar
• Yager, R. R., J. Kacprzyk, and G. Beliakov. 2011. Recent Developments on the Ordered Weighted Averaging Operators: Theory and Practice. Berlin: Springer-Verlag.
   Google Scholar
• Zhu, C., L. Jin, R. Mesiar, and R. R. Yager. 2020. “Using Preference Leveled Evaluation Functions to Construct Fuzzy Measures in Decision Making and Evaluation.” International Journal of General Systems 49 (2): 161–173. doi: 10.1080/03081079.2019.1668384
   Web of Science ®Google Scholar
• Zimmermann, H. J., and P. Zysno. 1980. “Latent Connectives in Human Decision Making.” Fuzzy Sets and Systems 4: 37–51. doi: 10.1016/0165-0114(80)90062-7
   Web of Science ®Google Scholar