PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Powiadomienia systemowe
  • Sesja wygasła!
  • Sesja wygasła!
Tytuł artykułu

Arrow Index of a Fuzzy Choice Function

Autorzy
Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The Arrow index of a fuzzy choice function C is a measure of the degree to which C satisfies the Fuzzy Arrow Axiom, a fuzzy version of the classical Arrow Axiom. The main result of this paper shows that A(C) characterizes the degree to which C is full rational. We also obtain a method for computing A(C). The Arrow index allows to rank the fuzzy choice functions with respect to their rationality. Thus, if for solving a decision problem several fuzzy choice functions are proposed, by the Arrow index the most rational one will be chosen.
Wydawca
Rocznik
Strony
245--261
Opis fizyczny
Bibliogr. 36 poz.
Twórcy
autor
  • Academy of Economic Studies, Dept. of Economic Cybernetics, Piata Romana No 6, Bucharest, Romania P. O. Box 1–432, 014700, Bucharest, Romania, irina.georgescu@csie.ase.ro
Bibliografia
  • [1] K.J. Arrow, Rational choice functions and orderings, Economica, 26, 1959, 121-127
  • [2] A. Banerjee, Fuzzy choice functions, revealed preference and rationality, Fuzzy Sets Syst., 70, 1995, 31-43
  • [3] C. R. Barrett, P. K. Pattanaik,M. Salles, On choosing rationally when preferences are fuzzy, Fuzzy Sets Syst., 34, 1990, 197-212
  • [4] C. R. Barrett, P. K. Pattanaik, M. Salles, Rationality and aggregation of preferences in an ordinally fuzzy framework, Fuzzy Sets Syst., 49, 1992, 9-13
  • [5] C. R. Barrett, P. K. Pattanaik, M. Salles, On the structure of fuzzy social welfare functions, Fuzzy Sets Syst., 19, 1996, 1-10
  • [6] R. Bělohlávek, Fuzzy relational systems. Foundations and principles, Kluwer, 2002
  • [7] M. Dasgupta, R. Deb, Fuzzy choice functions. Soc Choice Welfare, 8, 1991, 171-182
  • [8] B. De Baets, J. Fodor, Twenty years of fuzzy preference relations (1978-1997),Belgian Journal of Operations Research, Statistics and Computer Science, 37, 1997, 61-82
  • [9] B. De Baets, J. Fodor (Eds.), Principles of fuzzy preferencemodelling and decision making, Academia Press, Gent, 2003
  • [10] J. Fodor, M. Roubens, Fuzzy preference modelling and multicriteria decision support, Kluwer, Dordrecht, 1994
  • [11] I. Georgescu, Rational choice and revealed preference: a fuzzy approach, Turku Centre for Computer Science PhD Dissertation 60, 2005
  • [12] I. Georgescu, On the axioms of revealed preference in fuzzy consumer theory, Journal of Systems Science and Systems Engineering, 13, 2004, 279-296
  • [13] I. Georgescu, Consistency conditions in fuzzy consumers theory, Fundamenta Informaticae, 61, 2004, 223- 245
  • [14] I. Georgescu, Arrow's axiom and full rationality for fuzzy choice functions, Social Choice and Welfare, 28, 2007, 303-319
  • [15] I. Georgescu, Similarity of fuzzy choice functions, Fuzzy Sets Syst., 158, 2007, 1314-1326
  • [16] I. Georgescu, Fuzzy choice functions: a revealed preference approach, Berlin, Springer, 2007
  • [17] S. Klaue, K. Kurbel, I. Loutschko, Automated negotiations on agent-based e-marketplaces: An overview. Proceedings of the 14th Bled Electronic Commerce Conference, Bled, Slovenia, 508-519, 2001
  • [18] P. Hájek, Metamathematics of fuzzy logic, Kluwer, 1998
  • [19] E. P. Klement, R. Mesiar, E. Pap, Triangular norms, Kluwer, 2000
  • [20] P. Kulshreshtha, B. Shekar, Interrelationship among fuzzy preference - based choice function and significance of rationality conditions: a taxonomic and intuitive perspective, Fuzzy Sets Syst., 109, 2000, 429-445
  • [21] K. Kurbel, I. Loutschko, Towards multi-agent electronic marketplaces: What is there and what is missing? The Knowledge Engineering Review, 18, 2003, 33-46
  • [22] S. Orlovsky, Decision-making with a fuzzy preference relation, Fuzzy Sets Syst., 1, 1978, 155-167
  • [23] S. Ovchinnikov, Decision-making with a ternary binary relation, in Proceedings of the Conference on Information Processing and Management of Uncertainty IPMU 2004, Perugia, Italy, 511-516
  • [24] M. Richter, Revealed preference theory, Econometrica, 34, 1966, 635-645
  • [25] M. Roubens, Some properties of choice functions based on valued binary relations, Eur. J. Op. Res., 40, 1989, 309-321
  • [26] P.A. Samuelson, A note of the pure theory of consumer's behavior, Economica, 5, 1938, 61-71
  • [27] A.K. Sen, Choice functions and revealed preference, Review of Economic Studies, 38, 1971, 307-312
  • [28] A.K. Sen, Social choice theory: A re-examination. Econometrica, 45, 1977, 53-89
  • [29] A.K. Sen, Choice, welfare and measurement. Cambridge MA: MIT Press and Oxford: Blackwell, 1982
  • [30] K. Suzumura, Rational choice and revealed preference, Review of Economic Studies, 43, 1976, 149-159
  • [31] K. Suzumura, Rational choice, collective decisions and social welfare, Cambridge University Press. Cambridge, 1983
  • [32] E. Turunen,Mathematics behind fuzzy logic, Physica-Verlag, 1999
  • [33] B. Van de Walle, S. Heitch, P. Faratin, Coping with one-to-many multicriteria negotiations in electronic marketplaces: beyond price discovery,Munich, Germany, 2001
  • [34] Ph. De Wilde, Fuzzy utility and equilibria, IEEE Transactions on Systems, Man and Cybernetics, 34, 2004, 1774-1785
  • [35] H. Uzawa, A note on preference and axioms of choice, Annals of the Institute of Statistical Mathematics, 8, 1956, 35-40
  • [36] L. A. Zadeh, Similarity relations and fuzzy orderings, Inf. Sci. 3, 1971, 177-200
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUS8-0010-0034
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.