The expected value of a function of a fuzzy variable with a continuous membership function

Authors:
Feng Xue;Wansheng Tang;Ruiqing Zhao
Affiliations:
Institute of Systems Engineering, Tianjin University, Tianjin 300072, China;Institute of Systems Engineering, Tianjin University, Tianjin 300072, China;Institute of Systems Engineering, Tianjin University, Tianjin 300072, China
Venue:
Computers & Mathematics with Applications
Year:
2008

Citing 6
Cited 4

The mean value of a fuzzy number

Fuzzy Sets and Systems - Fuzzy Numbers
Linear programming problems and ranking of fuzzy numbers

Fuzzy Sets and Systems
A study of the ranking function approach through mean values

Fuzzy Sets and Systems
The expected value of a fuzzy number

Fuzzy Sets and Systems
Fuzzy sets as a basis for a theory of possibility

Fuzzy Sets and Systems
Expected value of fuzzy variable and fuzzy expected value models

IEEE Transactions on Fuzzy Systems

Convergence of optimal solutions about approximation scheme for fuzzy programming with minimum-risk criteria

Computers & Mathematics with Applications
A bilevel fuzzy principal-agent model for optimal nonlinear taxation problems

Fuzzy Optimization and Decision Making
Approximation based fuzzy multi-objective models with expected objectives and chance constraints: Application to earth-rock work allocation

Information Sciences: an International Journal
A fuzzy supply chain contract problem with pricing and warranty

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology

Quantified Score

Hi-index	0.09

Visualization

Abstract

In this paper, a formula for the expected value of a function of a fuzzy variable is presented, with which the exact expected value of the function of the fuzzy variable can be obtained directly. The proposed formula holds provided that the function is monotonic, on the assumption that the fuzzy variable has a continuous membership function. Furthermore, some examples showing how to apply the formula are given.