New Generalized Interval Valued Intuitionistic Fuzzy Numbers

Subject Areas : Applied Mathematics

Ezzatallah Baloui Jamkhaneh ¹ , A. Saeidifar ²

1 - Department of Statistics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran
2 - Department of Statistics, Arak Branch, Islamic Azad University, Arak, Iran

Received: 2017-03-12 Accepted : 2018-01-09 Published : 2018-05-01

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

Abstract :

The aim of this paper is investigate the notion of a generalized interval valuedintuitionistic 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. Thenthe values and ambiguities of the membership degree and the non-membershipdegree 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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