The relations between support functions and support points for n-dimensional fuzzy numbers

In this paper, the fundamental results associated with support points for n-dimensional fuzzy numbers in r-cut are developed. Also Bishop-Phelps theorem and the representation of convex and closed sets of r-cut in Rn-space as the desired participation of The half-closed spaces are rep- resented. Finally, the relationship between the support function and the support points of interest for n-dimensional fuzzy numbers is studied. Keywords: n-dimensional fuzzy numbers; Support points; Support func- tions.

Keywords:

n-dimensional fuzzy numbers , Support points , Support func- tions.

Authors

O Sedaghatfar

Department of Mathematics, Yadegar-e-Imam Khomeini (RAH) Shahre Rey Branch, Islamic Azad University, Tehran, Iran.

M. R. Balooch Shahryari

Department of Mathematics, Kerman Branch, Islamic Azad University, Kerman, Iran

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https://civilica.com/doc/855103

شناسه ملی سند علمی:

IDS03_104

تاریخ نمایه سازی: 31 اردیبهشت 1398

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Sedaghatfar, O and R. Balooch Shahryari, M.,1397,The relations between support functions and support points for n-dimensional fuzzy numbers,The Third International Conference on Intelligent Decision Science,Tehran,https://civilica.com/doc/855103

Scientometrics

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Ranking of Islamic Azad University of Shahr Rey

Type of center: Azad University

Paper count: 5,739

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