In this paper, we propose a scalar variable formation of fuzzy regression model based on the axiomatic credibility measure foundation. The fuzzy estimation for fuzzy regression coefficients is investigated. A general M-estimation criterion is developed under Maximum Fuzzy Uncertainty Principle, which resulted in weighted Normal equation with adjusted term for M-estimator of the regression coeff...

The parameter h in a fuzzy linear regression model is vital since it influences the degree of the fitting of the estimated fuzzy linear relationship to the given data directly. However, it is usually subjectively preselected by a decision-maker as an input to the model in practice. In Liu and Chen (2013), a new concept of system credibility was introduced by combining the system fuzziness with ...

Fuzzy random variable is a combination of fuzzy variable and random variable, and can characterize both fuzziness and randomness in the real world. The mean chance of a fuzzy random event is an important concept in fuzzy random optimization, just like the probability of a stochastic event in stochastic optimization and the credibility of a fuzzy event in fuzzy optimization. In fuzzy random prog...

Uncertainty inherent in the financial market was usually consid- ered to be random. However, randomness is only one special type of uncer- tainty and appropriate when describing objective information. For describing subjective information it is preferred to assume that uncertainty is fuzzy. This paper defines the expected payoof trading strategies in a fuzzy financial market within the framewor...

The operational effectiveness of the weapon systems is usually evaluated by the reasonable simulation results. But it is difficult to measure and evaluate the credibility of the simulation data source. An evaluation indices system of the credibility for the simulation data source is built up. A set of quantitative evaluation rules are set up based on the experts’ judgments and the fuzzy express...

In this paper, the minimum spanning tree problem is investigated on the graph with fuzzy edge weights. The notion of fuzzy α-minimum spanning tree is presented based on the credibility measure, and then the solutions of the fuzzy α-minimum spanning tree problem are discussed under different assumptions. First, we respectively assume that all the edge weights are triangular fuzzy numbers and tra...

This paper owes a great deal to Doug Laxton. We also thank Phil Lowe, Glenn Stevens and participants in a seminar at the Reserve Bank of Australia for helpful comments. The views expressed in this paper are those of the authors and not necessarily those of the Reserve Bank of Australia. Use of any results from this paper should clearly attribute the work to the authors and not to the Reserve Ba...

This article addresses exact controllability for Caputo fuzzy fractional evolution equations in the credibility space from perspective of Liu process. The class or problems considered here are differential with derivatives order β∈(1,2), 0CDtβu(t,ζ)=Au(t,ζ)+f(t,u(t,ζ))dCt+Bx(t)Cx(t)dt initial conditions u(0)=u0,u′(0)=u1, where u(t,ζ) takes values U(⊂EN),V(⊂EN) is other bounded space, and EN rep...

In order to improve online learning speed and accuracy of CMAC, a fuzzy CMAC neural network model based on credit assignment concept is designed. In the conventional CMAC and fuzzy CMAC learning scheme, the corrected amounts of errors are equally distributed into all addressed hypercubes, regardless of the credibility of those hypercubes values. The proposed improved learning approach is to use...