Title :
On Simultaneously Nilpotent Fuzzy Matrices over Max-nilpotent Operations
Author :
Yang, Wen-Wei ; Liu, Chia-Cheng ; Wen, Ching-Feng ; Lur, Yung-Yih
Author_Institution :
Dept. of Food & Beverage Manage., Vanung Univ., Taoyuan, Taiwan
Abstract :
Nilpotent fuzzy matrices play a crucial role in the study of fuzzy matrix. In this paper, we shall extend the nilpotence to the notion of simultaneous nilpotence for a finite set of fuzzy matrices over Max-nilpotent operations. Some characterizations of the simultaneous nilpotence for a fnite number of fuzzy matrices in Max-nilpotent operations will be established.
Keywords :
fuzzy set theory; matrix algebra; finite number; finite set; max-nilpotent operations; nilpotent fuzzy matrices; Additives; Convergence; Educational institutions; Finite element methods; Fuzzy sets; Limiting; Matrix decomposition; Max-nilpotent operations; nilpotent; simultaneous nilpotence;
Conference_Titel :
Computational Sciences and Optimization (CSO), 2012 Fifth International Joint Conference on
Conference_Location :
Harbin
Print_ISBN :
978-1-4673-1365-0
DOI :
10.1109/CSO.2012.55
