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Information and aggregation: ethical and computational issues

dc.book.titleFuzzy Set Theory and Advanced Mathematical Applications
dc.contributor.authorCutello, Vincenzo
dc.contributor.authorMontero De Juan, Francisco Javier
dc.contributor.editorRuan, Da
dc.date.accessioned2023-06-20T21:11:13Z
dc.date.available2023-06-20T21:11:13Z
dc.date.issued1995
dc.description.abstractIn this paper we survey on aggregation operators and in particular hierarchies of them. As a case study, we will analyze the problems of the aggregation of truth values of fuzzy predicates and the aggregation of individual opinions into a single group opinion, based upon hierarchical intensity aggregation rules. We will see that hierarchical amalgamations are supported from an ethical and rational point of view. Two different hierarchical procedures will be recalled: cover-based hierarchical aggregations and ordered hierarchical aggregations. Finally we will see that when we deal with ordered hierarchical aggregations of OWA operators, some interesting computational problems appear quite naturally. Such problem admit polynomial time solutions.en
dc.description.departmentDepto. de Estadística e Investigación Operativa
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/30557
dc.identifier.citationCutello, V., Montero, J.: Information Aggregation: Ethical and Computational Issues. En: Ruan, D. (ed.) Fuzzy Set Theory and Advanced Mathematical Applications. pp. 175-200. Springer US, Boston, MA (1995)
dc.identifier.doi10.1007/978-1-4615-2357-4_7
dc.identifier.isbn0-7923-9586-7
dc.identifier.officialurlhttps//doi.org/10.1007/978-1-4615-2357-4_7
dc.identifier.relatedurlhttp://link.springer.com/chapter/10.1007%2F978-1-4615-2357-4_7
dc.identifier.urihttps://hdl.handle.net/20.500.14352/60915
dc.issue.number4
dc.language.isoeng
dc.page.final198
dc.page.initial175
dc.page.total324
dc.publication.placeBoston
dc.publisherKluwer Academic
dc.relation.ispartofseriesInternational series in intelligent technologies
dc.rights.accessRightsopen access
dc.subject.cdu519.21
dc.subject.keywordAggregations rules
dc.subject.keywordFuzzy preferences
dc.subject.keywordGroup decision making
dc.subject.ucmProbabilidades (Matemáticas)
dc.titleInformation and aggregation: ethical and computational issuesen
dc.typebook part
dcterms.referencesArrow, KJ (1964) Social Choice and Individual Values. John Wiley & Sons, Inc., New York Cholewa, W (1985) Aggregation of fuzzy opinions: an axiomatic approach. Fuzzy sets and systems 17: pp. 249-258 Cormen, TH, Leiserson, CE, Rivest, RR (1990) Introduction to Algorithms. MIT Press, Cambridge, MA V. Cutello and J. Montero. A model for amalgamation in group decision making. In NAFIPS 1992, Puerto Vallarta, Mexico, 1992. Proceedings of the North American Fuzzy Information Processing Society International Conference on Fuzzy set theory and applications. NASA conference publications 10112, Vol. 1, 215–223. Cutello, V, Montero, J (1993) A characterization of rational amalgamation operations. International Journal of Approximate Reasoning 8: pp. 325-344 V. Cutello and J. Montero. An axiomatic approach to fuzzy rationality Proceedings of IFSA’93, Seoul, Korea, 634–636,1993. V. Cutello and J. Montero. Hierarchies of intensity preference aggregations. International Journal of Approximate Reasoning, 10:123–133, 1994. Cutello, V, Montero, J (1994) Fuzzy Rationality Measures. Fuzzy Sets and Systems 62: pp. 39-54 V. Cutello and J. Montero. Computational problems of the hierarchical aggregation of OWA operators In Proceedings of IPMU’94, Paris, July 1994. B. Bouchon-Meunier and R.R. Yager Eds, 407–411. V. Cutello and J. Montero. Recursive Families of OWA operators In Proceedings of IEEE World Congress on Computational Intelligence, FUZZ-IEEE 94, Orlando, Florida, June 1994. P. Bonissone Ed, IEEE Press, 2046–2049. Cutello, V, Montero, J (1994) Hierarchies of aggregation operators. International Journal of Intelligent Systems 9: pp. 1025-1045 V. Cutello and J. Montero. Hierarchical aggregation of OWA operators: basic measures and related computational problems. Submitted Dubois, D, Koning, JL (1991) Social choice axioms for fuzzy set aggregation. Fuzzy sets and systems 43: pp. 257-274 L.W. Fung and K.S. Fu. An axiomatic approach to rational decision making in a fuzzy environment. In L.A. Zadeh, K.S. Fu, K. Tanaka, and M. Shimura, editors, Fuzzy sets and their applications to Cognitive and decision processes, 227–256. Academic Press, 1975. Klir, GJ, Folger, TA (1988) Fuzzy sets, uncertainty and information. Prentice Hall, Englewood, Cliffs, NJ Kuhn, HW (1955) The Hungarian Method for the assignment Problem. Naval Research Logistics Quarterly 2: pp. 83-97 Montero, J (1985) A note on Fung-Fu’s theorem. Fuzzy sets and systems 17: pp. 259-269 J. Montero. Arrow’s theorem under fuzzy rationality. Behavioral Science, pages 267–273, 1987. Montero, J (1987) Social welfare functions in a fuzzy environment. Kyber-netes 16: pp. 241-245 S. Ovchinnikov. Means and social welfare function in fuzzy binary relation spaces. In J. Kacprzyk and M. Fedrizzi, editors, Multiperson decision making using fuzzy sets and possibility theory, 143–154. Kluwer, 1990. Papadimitriou, CH, Steiglitz, K (1982) Combinatorial Optimization. Algorithms and Complexity. Prentice Hall, Englewood, Cliffs, NJ Fredman, ML, Tarjan, RE (1987) Fibonacci heaps and their uses in improved network optimization algorithms. Journal ofA.C.M 34: pp. 596-615 Yager, RR (1991) Connectives and quantifiers in fuzzy sets. Fuzzy sets and Systems 40: pp. 39-75 Yager, RR (1988) On ordered weighted averaging aggregation operators in multi-criteria decision making. IEEE transactions on systems, man and cybernetics 18: pp. 183-190 Yager, RR (1993) Families of OWA operators. Fuzzy sets and systems 59: pp. 125-148
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