透過您的圖書館登入
IP:3.16.203.149
  • 期刊

A Class of Interval Untuituionistic Fuzzy Linear Programming Problems and Its Application to Portfolio Selection

並列摘要


This paper discusses a class of intuitionistic fuzzy interval linear programming problems with interval coefficients in both the objective functions and constraints. The noninferior solutions to such problems are defined based on order relations between interval valued intuitionistic fuzzy number, and can be found by solving a parametric nonlinear programming problem. Considering the uncertain returns of assets in capital markets as interval valued intuitionistic fuzzy number, we propose a model for portfolio selection based on the absolute deviation measure of risk, which can be transformed to a nonlinear programming model studied in the paper. The method is illustrated by solving a simplified portfolio selection problem.

參考文獻


Turksen, B.(1986).Interval valued fuzzy sets based on normal forms.Fuzzy Sets and Systems.20,191-210.
Li, D. F.(2010).TOPSIS-based nonlinear-programming methodology for multiattribute decision making with interval-valued intuitionistic fuzzy sets.IEEE Transactionson Fuzzy Systems.18(2),299-311.
Li, D. F.(2010).Linear programming method for MADM with interval-valued intuitionistic fuzzy sets.Expert Systems with Applications.37,5939-5945.
Deschrijver, G.(2007).Arithmetic operators in interval-valued fuzzy set theory.Information Sciences.177,2906-2924.
Deschrijver, G.(2008).A representation of t-norms ininterval-valued L-fuzzy set theory.Fuzzy Sets and Systems.159,1597-1618.

延伸閱讀