Title :
Residual Implication of Interval-Valued Intuitionistic Fuzzy Triangle Norm and Its Properties
Author :
Qu Ke ; Tang Lei ; Rong Wenjing
Author_Institution :
Coll. of Inf. Manage., Chengdu Univ. of Technol., Chengdu, China
Abstract :
This article extends the Residual Implication of Interval-valued intuitionistic Fuzzy Triangular Norms to Interval-Valued Intuitionistic Fuzzy Sets, and defines the Residual Implication of Interval-valued intuitionistic Fuzzy Triangular Norms. Based on definition, it derives the relationship between the residual implications of Interval-Valued Intuitionistic Fuzzy triangular norms and triangular norms and proves that for the Interval-valued intuitionistic Fuzzy sets, the 16 basic characters of intuitionistic Fuzzy Triangular Norms in reference are still tenable, which further enrich the theory research of Interval-valued intuitionistic Fuzzy reasoning and swarm decision.
Keywords :
fuzzy set theory; interval-valued intuitionistic fuzzy reasoning; interval-valued intuitionistic fuzzy sets; interval-valued intuitionistic fuzzy triangle norm; residual implication; swarm decision; Equations; Finite element methods; Fuzzy logic; Fuzzy reasoning; Fuzzy sets; Information management; Mathematical model;
Conference_Titel :
Computational Intelligence and Software Engineering (CiSE), 2010 International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-5391-7
Electronic_ISBN :
978-1-4244-5392-4
DOI :
10.1109/CISE.2010.5676992
