FUZZY LIMITS OF FUZZY FUNCTIONS

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 31 Oct 2021Embargo end date: 01 Jan 2019Publisher:Univ. of MalayaJournal:Malaysian Journal of Science, volume 40, pages 76-106 (issn: 1394-3065, eissn: 2600-8688,

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Authors: Altai, Abdulhameed Qahtan Abbood;

doi: 10.22452/mjs.vol40no3.7 , 10.48550/arxiv.1902.01919

arXiv: 1902.01919

FUZZY LIMITS OF FUZZY FUNCTIONS

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Abstract

In this paper, we study the theory of fuzzy limit of fuzzy function depending on the Altai’s principle and using the representation theorem (resolution principle) to run the fuzzy arithmetic.The novelty underlying this theory is that we can provethe convergence of afuzzy function to its fuzzy limit through proving the convergence of its 𝛼-cuts’boundaries to their limits for the membership degree 0<𝛼𝑜<𝛼1≤𝛼≤1.

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Keywords

General Mathematics (math.GM), FOS: Mathematics, Mathematics - General Mathematics

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