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The numerical characteristics for average value of random variables play an extremely important role in the theory of probability. But, at present, the researches about them only focus on probability measure (additive measure) space. This paper explores the numerical characteristics for average value on a kind of non-additive measure space-credibility space, which is wider than probability space....
In type-2 fuzzy optimization problems, the uncertain parameters are usually represented by type-2 fuzzy variables. To solve such fuzzy programming, we are required to reduce the type-2 fuzzy parameters. Based on the mean reduction results of type-2 fuzzy variables, this paper derives expectation formulas for reductions of two common type-2 fuzzy variables. Using the obtained results, we can build...
In this paper, linking with the basic principle of FCM algorithm, on the basis of theory research, a method of the cluster analysis that FCM and the genetic algorithm are combined together is proposed. Firstly, the approximate optimal solution obtained by the genetic algorithm is taken as the original value of the FCM algorithm, then carrying on the local search to obtain the global optimal solution,...
This paper introduces a type of mean-variance model for portfolio selection problem, in which the security returns are assumed to be fuzzy variables. To solve the portfolio problem, this paper applies the variance formulas to the proposed model so that the original optimization problem can be reduced to the deterministic one, which can be solved by applying Kuhn-Tucker (K-T) conditions. A numerical...
This paper gives the definition of representative value for type-2 (T2) fuzzy variable. Based on the definition, for a discrete T2 fuzzy variable, we obtained the arithmetic formula of the representative value. Some properties of the representative value operator are discussed.
At the knowledge-based economy age, technological innovation is promoting the reform of global economy and society by a revolutionary mode, its profound influence reflects in the process of development of global economy and society, promoting technological innovation has been the inevitable trend of the development of global social economy, also, technological innovation capability is the driving...
Selection of suppliers is the precondition and foundation of supply chain operation. It is an important aspect to choose the best supplier for supply chain management. This paper is aimed to present a fuzzy decision-making approach to deal with the supplier selection problem in supply chain system. In this paper, we can convert the decision matrix into a fuzzy decision matrix and then we use fuzzy...
In this study, we study set operations on type-2 fuzzy sets. We first discuss join and meet operations of membership grades of type-2 fuzzy sets under left continuous t-norms and derive distributive law of type-2 fuzzy sets. Then, some properties on compositions of fuzzy relations is discussed. We derived that the distributive laws under union and composition of type-2 fuzzy relations is valid. An...
In practice, the lifetimes of unrepairable systems contain both randomness and fuzziness. So it is appropriate to assume the lifetimes of systems to be fuzzy random variables. In this paper, the definitions of reliability and mean time to failure (MTTF) of unrepairable systems with fuzzy random lifetimes are given, respectively. Then basic mathematical models of unrepairable systems with fuzzy random...
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