MATHEMATICAL EXPECTATION ABOUT DISCRETE RANDOM VARIABLE WITH INTERVAL PROBABILITY OR FUZZY PROBABILITY

作     者：肖盛燮 吕恩琳 

作者机构：Department of Engineering Mechanics Chongqing Jiaotong University Chongqing 400074 P.R.China Department of Engineering Mechanics Chongqing University Chongqing 400044 P.R.China 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2005年第26卷第10期

页      面：1382-1390页

核心收录：

学科分类：02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 07[理学] 0714[理学-统计学（可授理学、经济学学位）] 070103[理学-概率论与数理统计] 0701[理学-数学] 

基　　金：ProjectsupportedbytheNationalNaturalScienceFoundationofChina(No.59878057)andtheNationalMajorProgramofScienceandTechnologyFoundationofChina(theTechnologi-calActionofWestDevelopment)(No.2004BA901A02) 

主　　题：interval number fuzzy set probability random variable mathematical expectation 

摘      要：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.