Ezzatallah Baloui Jamkhaneh - Department of Statistics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran
A. Saeidifar - Department of Statistics, Arak Branch, Islamic Azad University, Arak, Iran

The aim of this paper is investigate the notion of a generalized interval valued intuitionistic fuzzy number (GIVIFN), which extends the interval valuedintuitionistic fuzzy number. Firstly, the concept of GIVIFNBs is introduced.Arithmetic operations and cut sets over GIVIFNBBs are investigated. Then the values and ambiguities of the membership degree and the non-membership degree and the value index and ambiguity index for GIVIFNs are dened. Finally, we develop a value and ambiguity-based ranking method.

Generalized interval valued intuitionistic fuzzy sets, generalized interval valued intuitionistic fuzzy numbers, cut set, value index, ambiguity index