The character and an algorithm about DRVIP（ discrete random variable with interval probability） and the secured kind DRVFP （discrete random variable with crisp event-fuzzy probability） are researched. Using the fu...The character and an algorithm about DRVIP（ discrete random variable with interval probability） and the secured kind DRVFP （discrete random variable with crisp event-fuzzy probability） are researched. Using the fuzzy resolution theorem, the solving mathematical expectation of a DRVFP can be translated into solving mathematical expectation of a series of RVIP. It is obvious that solving mathematical expectation of a DRVIP is a typical linear programming problem. A very functional calculating formula for solving mathematical expectation of DRVIP was obtained by using the Dantzig＇s simplex method. The example indicates that the result obtained by using the functional calculating formula fits together completely with the result obtained by using the linear programming method, but the process using the formula deduced is simpler.展开更多
Fuzzy equations were solved by using different standard methods. One of the well-known methods is the method of α-cut. The method of superimposition of sets has been used to define arithmetic operations of fuzzy numb...Fuzzy equations were solved by using different standard methods. One of the well-known methods is the method of α-cut. The method of superimposition of sets has been used to define arithmetic operations of fuzzy numbers. In this article, it has been shown that the fuzzy equation , where A, X, B are fuzzy numbers can be solved by using the method of superimposition of sets. It has also been shown that the method gives same result as the method of α-cut.展开更多
In this article,mathematical modeling for the evaluation of reliability is studied using two methods.One of the methods,is developed based on possibility theory.The performance of the reliability of the system is of p...In this article,mathematical modeling for the evaluation of reliability is studied using two methods.One of the methods,is developed based on possibility theory.The performance of the reliability of the system is of prime concern.In view of this,the outcomes for the failure are required to evaluate with utmost care.In possibility theory,the reliability information data determined from decision-making experts are subjective.The samemethod is also related to the survival possibilities as against the survival probabilities.The other method is the one that is developed using the concept of approximation of closed interval including the piecewise quadratic fuzzy numbers.In this method,a decision-making expert is not sure of his/her estimates of the reliability parameters.Numerical experiments are performed to illustrate the efficiency of the suggested methods in this research.In the end,the paper is concluded with some future research directions to be explored for the proposed approach.展开更多
从智能效益、经济效益、绿色效益和安全效益4个维度构建了智能变电站建设项目综合效益评价指标体系。其中评价指标的属性值为包含语言变量、精确数和正态分布区间数的混合信息。在此基础上,基于直觉模糊集和组合赋权法,构建了一种面向...从智能效益、经济效益、绿色效益和安全效益4个维度构建了智能变电站建设项目综合效益评价指标体系。其中评价指标的属性值为包含语言变量、精确数和正态分布区间数的混合信息。在此基础上,基于直觉模糊集和组合赋权法,构建了一种面向混合信息的混合多准则决策模型。该模型首先用不同的转换规则将混合信息一致化为直觉模糊数的形式。然后采用基于合作博弈模型的群组决策特征根法-直觉模糊熵(group eigenvalue method intuitionistic fuzzy entropy,GEM-IFE)组合赋权法来确定指标的综合权重,并基于直觉模糊集建立了改进的逼近理想解排序方法(technique for order preference by similarity to ideal solution,TOPSIS)评价模型。最后,以10个智能变电站建设项目作为案例进行分析,并将该模型与传统的TOPSIS方法和单一赋权法进行比较。结果证明该混合多准则决策模型具有良好的鲁棒性。展开更多
文摘The character and an algorithm about DRVIP（ discrete random variable with interval probability） and the secured kind DRVFP （discrete random variable with crisp event-fuzzy probability） are researched. Using the fuzzy resolution theorem, the solving mathematical expectation of a DRVFP can be translated into solving mathematical expectation of a series of RVIP. It is obvious that solving mathematical expectation of a DRVIP is a typical linear programming problem. A very functional calculating formula for solving mathematical expectation of DRVIP was obtained by using the Dantzig＇s simplex method. The example indicates that the result obtained by using the functional calculating formula fits together completely with the result obtained by using the linear programming method, but the process using the formula deduced is simpler.
文摘Fuzzy equations were solved by using different standard methods. One of the well-known methods is the method of α-cut. The method of superimposition of sets has been used to define arithmetic operations of fuzzy numbers. In this article, it has been shown that the fuzzy equation , where A, X, B are fuzzy numbers can be solved by using the method of superimposition of sets. It has also been shown that the method gives same result as the method of α-cut.
文摘In this article,mathematical modeling for the evaluation of reliability is studied using two methods.One of the methods,is developed based on possibility theory.The performance of the reliability of the system is of prime concern.In view of this,the outcomes for the failure are required to evaluate with utmost care.In possibility theory,the reliability information data determined from decision-making experts are subjective.The samemethod is also related to the survival possibilities as against the survival probabilities.The other method is the one that is developed using the concept of approximation of closed interval including the piecewise quadratic fuzzy numbers.In this method,a decision-making expert is not sure of his/her estimates of the reliability parameters.Numerical experiments are performed to illustrate the efficiency of the suggested methods in this research.In the end,the paper is concluded with some future research directions to be explored for the proposed approach.
文摘从智能效益、经济效益、绿色效益和安全效益4个维度构建了智能变电站建设项目综合效益评价指标体系。其中评价指标的属性值为包含语言变量、精确数和正态分布区间数的混合信息。在此基础上,基于直觉模糊集和组合赋权法,构建了一种面向混合信息的混合多准则决策模型。该模型首先用不同的转换规则将混合信息一致化为直觉模糊数的形式。然后采用基于合作博弈模型的群组决策特征根法-直觉模糊熵(group eigenvalue method intuitionistic fuzzy entropy,GEM-IFE)组合赋权法来确定指标的综合权重,并基于直觉模糊集建立了改进的逼近理想解排序方法(technique for order preference by similarity to ideal solution,TOPSIS)评价模型。最后,以10个智能变电站建设项目作为案例进行分析,并将该模型与传统的TOPSIS方法和单一赋权法进行比较。结果证明该混合多准则决策模型具有良好的鲁棒性。
