Title :
Basic Properties of Balanced Triangular Norms
Author :
Guo, Xiaoshu ; Zhang, Yunjie ; Ma, Wenqing
Author_Institution :
Dept. of Math., Dalian Maritime Univ., Dalian
Abstract :
The basic analytical and algebraic properties of balanced triangular norms are introduced. It mainly discusses the continuity, the Archimedean property, the strictly monotonicity and the idempotent elements of balanced triangular norms. Finally, a construction method of balanced t-norm based on additive generators is given.
Keywords :
algebra; Archimedean property; additive generators; algebraic properties; balanced t-norm; balanced triangular norms; Additives; Boundary conditions; Decision making; Equations; Extraterrestrial measurements; Fuzzy logic; Fuzzy set theory; Game theory; Mathematics; Statistics;
Conference_Titel :
Intelligent Systems and Applications, 2009. ISA 2009. International Workshop on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-3893-8
Electronic_ISBN :
978-1-4244-3894-5
DOI :
10.1109/IWISA.2009.5072766
