A new algorithm for computing the fuzzy weighted average

IEICE Electronics Express

Ming-jun Gao¹  Hong Zhang¹  Huai-zhong Hu¹ 

[1] School of Electranics and Information Engineering, Xi'an Jiaotong University

关键词: fuzzy number;    fuzzy arithmetic;    fuzzy weighted average;   

DOI  :  10.1587/elex.7.1423

学科分类：电子、光学、磁材料

来源: Denshi Jouhou Tsuushin Gakkai

【 摘 要 】

References(6)Cited-By(4)A new fuzzy weighted average computation algorithm (NFWA) based on the α-cuts representation of fuzzy numbers is presented in this paper. For each α-cuts, the endpoints of the fuzzy weighted average (FWA) can be calculated from two particular switch points. In the proposed algorithm, these two switch points are computed with an opposite direction searching process, although recursive, which is remarkably efficient. The calculation complexity of the new algorithm is O(n). Experimental result demonstrates that compared with some commonly used FWA algorithms, the new algorithm approach requires the least CPU time, and then may be the fastest available FWA algorithm to date.

【 授权许可】

Unknown