A Brief Review of Fuzzy Aggregation
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Aug 24, 2018
Keywords:
fuzzy aggregation decision making
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Abstract
The concept and applications of fuzzy aggregation have been witnessed over the past decades, spanning from system control, decision-making as well as machine learning. Even now, the theoretical development of several models like OWA still continues, with further exploitation in many new problem domains. Given this insight, it is important to provide a review of landscape for fuzzy aggregation, with respect to both types and future challenges. The paper is to be useful for those who are interested in this subject in general, and others that are keen to employ a fuzzy aggregator in their research studies.
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[1]
T. Boongoen, “A Brief Review of Fuzzy Aggregation”, NKRAFA SCT, vol. 13, pp. 59–66, Aug. 2018.
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[38] M.Grabisch M, J.Duchene, F. Lino and P.Perny. Subjective evaluation of discomfort in sitting position. Fuzzy Optimization and Decision Making, 1(3): 287-312, 2002.
[39] F.Herrera, E.Herrera-Viedma and J.L.Verdegay. A model of consensus in group decision making under linguistic assessments. Fuzzy Sets and Systems, 78: 73-87, 1996.
[40] F.Herrera and L.Martinez. A 2-tuple fuzzy linguistic representation model for computing with words. IEEE Transactions on Systems, Man and Cybernetics, 8: 746-752, 2000.
[41] F.Herrera and L.Martinez. A model based on linguistic 2-tuple for dealing with multigranularity hierarchical linguistic contexts in multiexpert decision- making. IEEE Transactions on Systems, Man and Cybernetics, 31: 227-234, 2001.
[42] U.Hohle. Probabilistic uniformization of fuzzy topologies. Fuzzy Sets and Systems1, 1978.
[43] J.Kacprzyk and R.R.Yager(eds). The ordered weighted averaging operators: theory and applications. Norwell,MA: Kluwer Academic Publishers, 1997.
[44] J.M. Keller, P.D. Gader and A.K.Hocaoglu. Fuzzy integrals in image processing and recognition, in M.Grabisch. T.Murofushi and M.Sugeno(eds). Fuzzy Measures and Integrals - Theory and Applications: 435-466. Physica Verlag, 2000.
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[46] E.P.Klement, R.Mesiar and E.Pap. On the relationship of associative compensatory operators to triangular norms and conforms. International Journal Uncertainty. Fuzziness and Knowledge based Systems, 4(2): 129- 144, 1996.
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[51] B.Llamazares. Choosing OWA operator weights in the field of Social Choice. Information Sciences, 177(21): 4745-4756, 2007.
[52] M.K. Luhandjula. Compensatory operators in fuzzy linear programming with multiple objectives. Fuzzy Sets and Systems, 8: 245-252, 1982.
[53] J.L.Marichal.On Sugeno integral as an aggregation function. Fuzzy Sets and Systems, 114: 347-365, 2000.
[54] M.Mas, G.Mayor and J.Torrens. t-operators, International Journal of Uncertainty. Fuzziness and Knowledge-Based Systems, 7(1): 31-50, 1999.
[55] M.Mas, R.Mesiar, M.Monserrat and J.Torrens. Aggregation operators with annihilator. International Journal of General Systems, 34(1): 1-22, 2005.
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[59] T.Murofushi and M.Sugeno. Some quantities represented by the Choquet integral. Fuzzy Sets and Systems, 56: 229-235, 1993.
[60] M.O’Hagan. Aggregating template rule antecedents in real-time expert systems with fuzzy set logic. Proceedings of Annual IEEE Conference on Signals, Systems, and Computers: 681-689, 1988.
[61] J.Quiggin. A theory of anticipated utility. Journal of Economic Behavior and Organization, 3: 323-343, 1982.
[62] T.L.Saaty. The Analytic Hierarchy Process. New York: McGraw-Hill, 1980.
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[65] A.Soria-Frisch. Unsupervised construction of fuzzy measures through self-organizing feature maps and its application in color image segmentation. Int. J. Approx. Reason. 41: 23-42, 2006.
[66] M.Sugeno. Theory of fuzzy integrals and its applications. PhD thesis, Tokyo Institute of Technology, 1974.
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