Expected values of functions of fuzzy variables

Article type: Research Article

Authors: Zhu, Yuanguo | Ji, Xiaoyu

Affiliations: Department of Applied Mathematics, Nanjing University of Science and Technology, Nanjing 210094, China | Department of Mathematical Science, Tsinghua University, Beijing 100084, China

Note: [] Corresponding author. Tel.: +86 25 8431 5878; E-mail: [email protected]

Abstract: Based on the expected value of a fuzzy variable, the expected value of function of a fuzzy variable is studied. A fuzzy expected value model is solved by an intelligent algorithm mixed integral sum approximation and genetic algorithm. As applications of results derived, a merchandize apportionment problem is investigated.

Keywords: Fuzzy variable, expected value, fuzzy expected value model, intelligent algorithm

Journal: Journal of Intelligent & Fuzzy Systems, vol. 17, no. 5, pp. 471-478, 2006