Further, this thesis brings forward a method based on multiobjective coefficients with triangular fuzzy numbers, and lays undue emphasis on the multiobjective problem with general fuzzy numbers in objective coefficients.
In this paper it is proved that the two Hausdorff metrics defined on the set of all triangular fuzzy numbers,one is based on α-cuts,the other is based on classical Hausdorff distances for subsets on enclidean plane,are topolog ically eqviualent.
In order to measure the risk of stock investment under fuzzy expected profit rate, this paper introduces the definition of left deviation of fuzzy number, a property of the left deviation of fuzzy number and the formulas for the left deviation in which the fuzzy number is triangular are given.
The ICAPM is used to study the underwriting profit margin of the P/L insurance company, including the insurances of automobile damage, automobile liability and fire, in which the parameters are the symmetric or non-symmetric triangular fuzzy numbers.
Our results show that the best-fitting parameters of the model from our data are the asymmetric triangular fuzzy numbers.
A fuzzy breakeven analysis based on the cost-volume-profit (CVP) analysis by using the concepts of triangular fuzzy numbers and linguistic variables is discussed.
The best solution is a vector of triangular fuzzy numbers, for the fuzzy coefficients in the model, which minimizes one of two error measures.
The linguistic level of comparisons produced by the professionals and experts for each comparison are tapped in the form of triangular fuzzy numbers to construct fuzzy pairwise comparison matrices.
In this paper it is proved that the two Hausdorff metrics defined on the set of all triangular fuzzy numbers,one is based on α-cuts,the other is based on classical Hausdorff distances for subsets on enclidean plane,are topolog ically eqviualent. Thus,the classical method to study Hausdorff distance can be fully used in the study of triangular fuzzy numbers.