期刊
INFORMATION SCIENCES
卷 187, 期 -, 页码 151-170出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2011.10.006
关键词
Fuzzy weighted average (FWA); alpha-Cut method; Karnik-Mendel (KM) algorithm; Analytical solution
资金
- National Natural Science Foundation of China (NSFC) [70771025, 71171048]
For the fuzzy weighted average (FWA), despite various discrete solution algorithms and their improvements, attempts at analytical solutions are very rare. This paper provides an analytical solution method for the FWA based on the conclusions of the Karnik-Mendel (KM) algorithm. Compared with the two current popular kinds of a-cut based computational methods for the FWA (mathematical programming transformations and direct iterate computations), our method is precise, and, has a concise structure, efficient computation process, and sound theoretical proofs. We propose two algorithms for computing the analytical solution of the FWA. Two numerical examples illustrate our proposed approach. (C) 2011 Elsevier Inc. All rights reserved.
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