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

fYear

2010

fDate

10-12 Dec. 2010

Firstpage

1

Lastpage

5

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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/CISE.2010.5676992

Filename

5676992