论文信息 - Fuzzy mathematical models in economics

Fuzzy mathematical models in economics

Abstract This paper is a survey of three fuzzy mathematical models dealing with economic choice, economic calculation and general economic equilibrium. They are the elements of a fuzzy theory of value. The aim is to test the efficiency of the application of fuzzy subsets theory to the analysis of the foundations of economics and thus to legitimate its use in the area.

C. Ponsard | C. Ponsard

[1] Richard Bellman,et al. Decision-making in fuzzy environment , 2012 .

[2] Léon Walras. Éléments d'économie politique pure, ou, Théorie de la richesse sociale , 1976 .

[3] C. Ponsard. An application of fuzzy subsets theory to the analysis of the consumer's spatial preferences , 1981 .

[4] Dan Butnariu,et al. Fixed points for fuzzy mappings , 1982 .

[5] C. Ponsard. A theory of spatial general equilibrium in a fuzzy economy , 1984 .

[6] Osmo Kaleva. A note on fixed points for fuzzy mappings , 1985 .

[7] Claude Ponsard,et al. Producer’s spatial equilibrium with a fuzzy constraint , 1980 .

[8] Claude Ponsard. PARTIAL SPATIAL EQUILIBRIA WITH FUZZY CONSTRAINTS , 1981 .

[9] Lotfi A. Zadeh,et al. The concept of a linguistic variable and its application to approximate reasoning-III , 1975, Inf. Sci..

[10] Kenneth J. Arrow,et al. Preference, production, and capital: Preference and rational choice in the theory of consumption , 1989 .

[11] S. Kakutani. A generalization of Brouwer’s fixed point theorem , 1941 .

[12] Hideo Tanaka,et al. On Fuzzy-Mathematical Programming , 1973 .

[13] G. Debreu,et al. Theory of Value , 1959 .

[14] Hans-Jürgen Zimmermann,et al. Fuzzy Set Theory - and Its Applications , 1985 .

[15] Lotfi A. Zadeh,et al. Similarity relations and fuzzy orderings , 1971, Inf. Sci..