Publication: Information Measures over Intuitionistic Four Valued Fuzzy Preferences
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2010
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IEEE
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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.
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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)