New Generalized Interval Valued Intuitionistic Fuzzy Numbers

Document Type: Research Articles


1 Department of Statistics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran

2 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.


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