Information Measures over Intuitionistic Four Valued Fuzzy Preferences
dc.book.title | 2010 IEEE International Conference on Fuzzy Systems (FUZZ-IEE 2010), | |
dc.contributor.author | Franco De Los Ríos, Camilo A. | |
dc.contributor.author | Rodríguez González, Juan Tinguaro | |
dc.contributor.author | Montero De Juan, Francisco Javier | |
dc.date.accessioned | 2023-06-20T05:44:19Z | |
dc.date.available | 2023-06-20T05:44:19Z | |
dc.date.issued | 2010 | |
dc.description.abstract | This paper studies the meaning of fuzzy preference under the light institionistic fuzzy sets. Intuitionism is revisted and intuitionistic fuzzy prefrerence relations are defined. A linguistic interpretation of strict and weak fuzzy preference is then developed where indecision can be explicity analyzed with the help of a bilattice. Uncertainty is finally examined as a measure of ignorance associated to the intensity value of thhe preferece predicate, where some information measures are applied over its complete structure. | en |
dc.description.department | Depto. de Estadística e Investigación Operativa | |
dc.description.faculty | Fac. de Ciencias Matemáticas | |
dc.description.refereed | TRUE | |
dc.description.status | pub | |
dc.eprint.id | https://eprints.ucm.es/id/eprint/16052 | |
dc.identifier.doi | 10.1109/FUZZY.2010.5584157 | |
dc.identifier.isbn | 978-1-4244-6920-8 | |
dc.identifier.officialurl | https//doi.org/10.1109/FUZZY.2010.5584157 | |
dc.identifier.relatedurl | http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5584157 | |
dc.identifier.uri | https://hdl.handle.net/20.500.14352/45337 | |
dc.language.iso | eng | |
dc.page.final | 8 | |
dc.page.initial | 1 | |
dc.publisher | IEEE | |
dc.relation.ispartofseries | 2010 IEEE World Congress on Computational Intelligence | |
dc.rights.accessRights | open access | |
dc.subject.cdu | 510.64 | |
dc.subject.keyword | Fuzzy preferences | |
dc.subject.keyword | Fuzzy set theory | |
dc.subject.keyword | Information measurement | |
dc.subject.keyword | Linguistic interpretation | |
dc.subject.ucm | Lógica simbólica y matemática (Matemáticas) | |
dc.subject.unesco | 1102.14 Lógica Simbólica | |
dc.title | Information Measures over Intuitionistic Four Valued Fuzzy Preferences | en |
dc.type | book part | |
dcterms.references | Amo, A., Montero, J., Biging, G., Cutello, V.: Fuzzy classification systems. European Journal of Operational Research 156, 459-507 (2004) Arieli, O., Avron, A.: The value of the four values. Artificial Intelligence 102, 97-141 (1997) Atanassov, K.: Intuitionistic Fuzzy Sets. Theory and Applications. Physica-Verlag, New York (1999) Brouwer L. Collected Works. North-Holland, Amsterdam (1975) Debreu,G.Theory of value. Yale University Press,New York (1959) Dubois, D., Prade, H.: Formal representations of uncertainty. In D. Bouyssou, D. Dubois, M. Pirlot, H. Prade, eds, Decision-Making Process, ISTE, London (2009) Ellsberg, D.: Risk ambiguity and the savage axioms. Quarterly Journal of Economics 75, 643-669 (1961) Fishburn, P.: The axioms and algebra of ambiguity. Theory and Decision 34, 119-137(1993) Fodor, J., Roubens, M.: Fuzzy Preference Modelling and Multicriteria Decision Support. Kluwer Academic Publishers, Dordrecht (1994) Fox, C., Tversky, A.: Ambiguity aversion and comparative ignorance. The Quarterly Journal ofEconomics 110, 585-603 (1995) Franco de los Rios, C., Montero, J., Rodriguez, J.: Rectification of fuzzy preferences in a fuzzy environment. IPMU'10 (2010) García-Lapresta J.L., Montero J.: Consistency of crisp and fuzzy preference relations. Proceedings of the IPMU'04 Conference, pp. 527-534 (2004) Goguen, J.: L-fuzzy sets. Journal of Mathematical Analysis and Applications 18, 145-174 (1967) González-Pachón, J., Gomez, D., Montero, J., Yáñez, J.: Soft dimension theory. Fuzzy Sets and Systems 137, 137-149 (2003) Heyting, A.: Intuitionism, an Introduction. North-Holland, Amsterdam(1966) Junker, U.: Preferences in an open world. In: First International Conference, ADT 2009, pp. 215-224 (2009) Keynes,J.: A Treatise on Probability. MacMillan,London(1963) Knight, F.: Risk, Uncertainty, and Profit. University of Chicago Press,Chicago(1971) Monguin, Ph.: Does optimization imply rationality? Synthese 124, 73-111 (2000) Montero, J., Gómez, D., Bustince, H.: On the relevance of some families of fuzzy sets. Fuzzy Sets and Systems 158, 2429-2442 (2007) Montero, J., Tejada, J., Cutello, C.: A general model for deriving preference structures from data. European Journal of Operational Research98,98-110(1997) Öztürk, M., Tsoukiàs, A.: Modelling uncertain positive and negative reasons in decision aiding. Decision Support Systems 43, 1512-1526 (2007) Raju, P.: The principle of the four-cornered negation in indian philosophy. Review of Metaphysics 7, 694-713 (1954) Samuelson, P.: A note on the pure theory of consumer's behaviour. Economica, New Series 5,61-71 (1938) Sancho-Royo, A., Verdegay, J.: Coherence measures on finite fuzzy sets. International Journal of Uncertainty, Fuzziness and Knowledge-based Systems 8, 641-663 (2000) Sancho-Royo, A., Verdegay, J.: Fuzzy coherence measures. International Journal of Intelligent Systems 20, 1-11 (2005) Trillas, E.: Views of Fuzzy Sets and Systems from Different Perspectives. (Ed.: Rudolf Seising) Springer, pp.175-205 (2009) Tsoukiás, A.: A first-order, four valud, weakly paraconsistent logic and its relation to rough sets semantics. Foundations of Computing andDecision Sciences 12, 85-112 (2002) Wittgenstein, L.: Investigaciones Filosoficas. Universidad Autónoma de Mexíco, Mexíco (2003) Wong, M., Wang, Z., Bollmann, P.: On qualitative measures of ignorance. International Journal of Intelligent Systems 11, 27-47 (1998) Yager, R.: On a measure of ambiguity. International Journal of Intelligent Systems 10, 1001-1019 (1995) Zadeh,L.: Fuzzy sets. InformationandControl 8, 338-353 (1965) Zadeh, L.: The concept of a linguistic variable and its application to aproximate reasoning-I. Information Sciences 8, 199-249 (1975) Zadeh, L.: Fuzzy logic = computing with words. IEEE Transactions on Fuzzy Systems 4,103-111 (1996) | |
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