It is critically important for companies to screen new product projects before they are launched to the market. So far, many approaches have been developed for tackling the process of screening product innovations. Du...It is critically important for companies to screen new product projects before they are launched to the market. So far, many approaches have been developed for tackling the process of screening product innovations. Due to uncertain, vague and incomplete information as well as dynamically complex process regarding to new product development （NPD）, a fuzzy linguistic approach employed linguistic assessments and the fuzzy-set-based computation is reasonable for screening new products. However, such a fuzzy linguistic approach faces with various defects and limitations, such as loss of information, failing in considering the aspects related to human nature on uncertain subjective judgments etc. These defects and limitations lead to a dilemma, i.e., it＇s very difficult to screen new product projects reasonably and precisely. In this paper, we propose a notion of proportional 3-tuple to represent a linguistic assessment and related ignoring information, and a preference-preserving proportional 3-tuple transformation for the unification of linguistic assessments represented by proportional 3-tuples between two different linguistic term sets. On this basis, a proportional 3-tuple fuzzy linguistic representation model for screening new product projects is developed. It is shown that the proposed model is flexible to handle uncertain, vague and incomplete information related to screening new product projects. It not only allows evaluators to express their subjective judgments with different confidence levels, but is also able to deal with incomplete linguistic assessments. Ultimately, the proposed model also improves the precision and reasonability of the screening result.展开更多
In previous articles,the exact solutions for deterministic chaos,stochastic chaos,and wave turbulence have been developed in terms of exponential os-cillons and pulsons,which are governed by the nonstationary three-di...In previous articles,the exact solutions for deterministic chaos,stochastic chaos,and wave turbulence have been developed in terms of exponential os-cillons and pulsons,which are governed by the nonstationary three-dimen-sional Navier-Stokes equations.We have later considered theoretical quanti-zation of the deterministic chaos in invariant structures and experimental quantization in spatial and temporal eigenfunctions with the help of inhomo-geneous Fourier expansions.The study of exact wave turbulence was also con-tinued with the theoretical quantization of stochastic chaos and wave turbu-lence.The current paper proceeds with experimental quantization of the sto-chastic chaos and the wave turbulence in spatial x-eigenfunctions.The method of inhomogeneous Fourier expansions in the deterministic eigenfunctions has been extended to deterministic-random,random-deterministic,random,ex-ternal,and internal eigenfunctions.The previous results on theoretical quan-tization in invariant structures have been confirmed,analyzed,and visualized in this work using experimental quantization in the novel eigenfunctions.Ar-guments of exact solutions for quantized oscillons and pulsons are given by 1-,2-,3-,4-,5-,6-,8-,12-,15-,16,and 32-tuples of the spatial eigenfunctions.The exact solutions are grouped into the vector,deterministic-random,exter-nal oscillons,the vector,random-deterministic,external oscillons,the vector,deterministic-random,internal oscillons,the vector,turbulent,external oscil-lons,the vector,turbulent,diagonal oscillons,the vector,turbulent,internal,oscillons,and the vector,turbulent pulsons.We compute independent ran-dom parameters with the help of the random model of oscillatory cn-noise.Computation is performed by experimental and theoretical programming in Maple.The obtained results demonstrate a strong dependence of the quan-tized oscillons and pulsons on the Reynolds number.展开更多
文摘It is critically important for companies to screen new product projects before they are launched to the market. So far, many approaches have been developed for tackling the process of screening product innovations. Due to uncertain, vague and incomplete information as well as dynamically complex process regarding to new product development （NPD）, a fuzzy linguistic approach employed linguistic assessments and the fuzzy-set-based computation is reasonable for screening new products. However, such a fuzzy linguistic approach faces with various defects and limitations, such as loss of information, failing in considering the aspects related to human nature on uncertain subjective judgments etc. These defects and limitations lead to a dilemma, i.e., it＇s very difficult to screen new product projects reasonably and precisely. In this paper, we propose a notion of proportional 3-tuple to represent a linguistic assessment and related ignoring information, and a preference-preserving proportional 3-tuple transformation for the unification of linguistic assessments represented by proportional 3-tuples between two different linguistic term sets. On this basis, a proportional 3-tuple fuzzy linguistic representation model for screening new product projects is developed. It is shown that the proposed model is flexible to handle uncertain, vague and incomplete information related to screening new product projects. It not only allows evaluators to express their subjective judgments with different confidence levels, but is also able to deal with incomplete linguistic assessments. Ultimately, the proposed model also improves the precision and reasonability of the screening result.
文摘In previous articles,the exact solutions for deterministic chaos,stochastic chaos,and wave turbulence have been developed in terms of exponential os-cillons and pulsons,which are governed by the nonstationary three-dimen-sional Navier-Stokes equations.We have later considered theoretical quanti-zation of the deterministic chaos in invariant structures and experimental quantization in spatial and temporal eigenfunctions with the help of inhomo-geneous Fourier expansions.The study of exact wave turbulence was also con-tinued with the theoretical quantization of stochastic chaos and wave turbu-lence.The current paper proceeds with experimental quantization of the sto-chastic chaos and the wave turbulence in spatial x-eigenfunctions.The method of inhomogeneous Fourier expansions in the deterministic eigenfunctions has been extended to deterministic-random,random-deterministic,random,ex-ternal,and internal eigenfunctions.The previous results on theoretical quan-tization in invariant structures have been confirmed,analyzed,and visualized in this work using experimental quantization in the novel eigenfunctions.Ar-guments of exact solutions for quantized oscillons and pulsons are given by 1-,2-,3-,4-,5-,6-,8-,12-,15-,16,and 32-tuples of the spatial eigenfunctions.The exact solutions are grouped into the vector,deterministic-random,exter-nal oscillons,the vector,random-deterministic,external oscillons,the vector,deterministic-random,internal oscillons,the vector,turbulent,external oscil-lons,the vector,turbulent,diagonal oscillons,the vector,turbulent,internal,oscillons,and the vector,turbulent pulsons.We compute independent ran-dom parameters with the help of the random model of oscillatory cn-noise.Computation is performed by experimental and theoretical programming in Maple.The obtained results demonstrate a strong dependence of the quan-tized oscillons and pulsons on the Reynolds number.
