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ATANASSOV’S INTUITIONISTIC FUZZY TOPOLOGY BASED ON THE SPACE OF INTUITIONISTIC FUZZY REAL NUMBERS (IFRN)

التبولوجيا الضبابية الحدسية "لأتاناسوف" المعتمدة على فضاء الأعداد الحقيقية الضبابية الحدسية
Authors: KAREMA SALEH ABDULMULA; ZIENEB ALI ELSHEGMANI;

ATANASSOV’S INTUITIONISTIC FUZZY TOPOLOGY BASED ON THE SPACE OF INTUITIONISTIC FUZZY REAL NUMBERS (IFRN)

Abstract

This study presents a new perspective on intuitionistic fuzzy topology through the integration of intuitionistic fuzzy real numbers and universal sets. Using theoretical foundations and operations developed by Atanassov and extended by Davvaz and others, we construct a topological framework that supports generalized fuzzy reasoning. The research introduces definitions and algebraic structures for intuitionistic fuzzy real numbers, explores topological convergence and continuity, and establishes their role in defining new fuzzy functions. This framework enhances expressive power in handling uncertainty. Keyword: Intuitionistic fuzzy sets, Fuzzy real number, Fuzzy topology space, Intuitionis-tic fuzzy element, Intuitionistic fuzzy point, Fuzzy function.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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