New Generalized Interval Valued Intuitionistic Fuzzy Numbers

Theory of Approximation and Applications

مقاله 4، دوره 12، شماره 1، مرداد 2018، صفحه 43-64   

نوع مقاله: Research Articles

نویسندگان

Ezzatallah Baloui Jamkhaneh^{* 1}؛ A. Saeidifar²

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

²Department of Statistics, Arak Branch, Islamic Azad University, Arak, Iran

چکیده

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.

کلیدواژه‌ها

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

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