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  • 1
    Online Resource
    Online Resource
    Hindawi Limited ; 2014
    In:  Journal of Applied Mathematics Vol. 2014 ( 2014), p. 1-12
    In: Journal of Applied Mathematics, Hindawi Limited, Vol. 2014 ( 2014), p. 1-12
    Abstract: Compared with the conventional probabilistic mean-variance methodology, fuzzy number can better describe an uncertain environment with vagueness and ambiguity. In this paper, we discuss a portfolio adjusting problem under the assumption that the returns of risky assets are fuzzy numbers and there exist general transaction costs in portfolio adjusting process. In the proposed model, we take the first possibilistic moment about zero of a portfolio as the investment return and the second possibilistic moment about the possibilistic mean value of the portfolio as the investment risk. To solve the proposed model, a modified artificial bee colony (ABC) algorithm is developed for calculating the optimal portfolio adjusting strategy. Finally, a numerical example is given to illustrate the effectiveness of the proposed model and approach.
    Type of Medium: Online Resource
    ISSN: 1110-757X , 1687-0042
    Language: English
    Publisher: Hindawi Limited
    Publication Date: 2014
    detail.hit.zdb_id: 2578385-3
    SSG: 17,1
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  • 2
    Online Resource
    Online Resource
    Hindawi Limited ; 2015
    In:  Abstract and Applied Analysis Vol. 2015 ( 2015), p. 1-14
    In: Abstract and Applied Analysis, Hindawi Limited, Vol. 2015 ( 2015), p. 1-14
    Abstract: A novel bioinspired control strategy design is proposed for generalized synchronization of nonlinear chaotic systems, combining the bioinspired stability theory, fuzzy modeling, and a novel, simple-form Lyapunov control function design of derived high efficient, heuristic and bioinspired controllers. Three main contributions are concluded: (1) apply the bioinspired stability theory to further analyze the stability of fuzzy error systems; the high performance of controllers has been shown in previous study by Li and Ge 2009, (2) a new Lyapunov control function based on bioinspired stability theory is designed to achieve synchronization without using traditional LMI method, which is a simple linear homogeneous function of states and the process of designing controller to synchronize two fuzzy chaotic systems becomes much simpler, and (3) three different situations of synchronization are proposed; classical master and slave Lorenz systems, slave Chen’s system, and Rossler’s system as functional system are illustrated to further show the effectiveness and feasibility of our novel strategy. The simulation results show that our novel control strategy can be applied to different and complicated control situations with high effectiveness.
    Type of Medium: Online Resource
    ISSN: 1085-3375 , 1687-0409
    Language: English
    Publisher: Hindawi Limited
    Publication Date: 2015
    detail.hit.zdb_id: 2064801-7
    SSG: 17,1
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  • 3
    Online Resource
    Online Resource
    Springer Science and Business Media LLC ; 2022
    In:  Annals of Functional Analysis Vol. 13, No. 4 ( 2022-10)
    In: Annals of Functional Analysis, Springer Science and Business Media LLC, Vol. 13, No. 4 ( 2022-10)
    Type of Medium: Online Resource
    ISSN: 2639-7390 , 2008-8752
    Language: English
    Publisher: Springer Science and Business Media LLC
    Publication Date: 2022
    detail.hit.zdb_id: 2606458-3
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  • 4
    Online Resource
    Online Resource
    Hindawi Limited ; 2012
    In:  Abstract and Applied Analysis Vol. 2012 ( 2012), p. 1-15
    In: Abstract and Applied Analysis, Hindawi Limited, Vol. 2012 ( 2012), p. 1-15
    Abstract: We consider a general variational inequality and fixed point problem, which is to find a point x * with the property that (GVF): x * ∈ GVI ( C , A ) and g ( x * ) ∈ Fix ( S ) where GVI ( C , A ) is the solution set of some variational inequality Fix ( S ) is the fixed points set of nonexpansive mapping S , and g is a nonlinear operator. Assume the solution set Ω of (GVF) is nonempty. For solving (GVF), we suggest the following method g ( x n + 1 ) = β g ( x n ) + ( 1 - β ) S P C [ α n F ( x n ) + ( 1 - α n ) ( g ( x n ) - λ A x n ) ] , n ≥ 0 . It is shown that the sequence { x n } converges strongly to x * ∈ Ω which is the unique solution of the variational inequality 〈 F ( x * ) - g ( x * ) , g ( x ) - g ( x * ) 〉 ≤ 0 , for all x ∈ Ω .
    Type of Medium: Online Resource
    ISSN: 1085-3375 , 1687-0409
    Language: English
    Publisher: Hindawi Limited
    Publication Date: 2012
    detail.hit.zdb_id: 2064801-7
    SSG: 17,1
    Location Call Number Limitation Availability
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