4.7 Article

Analytical solution methods for the fuzzy weighted average

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

  1. National Natural Science Foundation of China (NSFC) [70771025, 71171048]

向作者/读者索取更多资源

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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