Title of article :
New Generalized Interval Valued Intuitionistic Fuzzy Numbers
Author/Authors :
Baloui Jamkhaneh, E. Department of Statistics - Qaemshahr Branch, Islamic Azad University , saeidifar, A. Department of Statistics - Arak Branch, Islamic Azad University
Abstract :
The aim of this paper is investigate the notion of a generalized interval valued intuitionistic fuzzy number (GIV IF NB), which extends the interval valued intuitionistic fuzzy number. Firstly, the concept of GIV IF NBs is introduced. Arithmetic operations and cut sets over GIV IF NBs are investigated. Then, the values and ambiguities of the membership degree and the non-membership degree and the value index and ambiguity index for GIV IF NBs are defined. Finally, we develop a value and ambiguity-based ranking method.
Keywords :
Generalized interval valued intuitionistic fuzzy sets , generalized interval valued intuitionistic fuzzy numbers , cut set , value index , ambiguity index
Journal title :
نظريه تقريب و كاربردهاي آن
