Generalized Interval-Valued Neutrosophic Set and Its Application

<p>In this work, we introduce the idea of generalized interval-valued neutrosophic sets. After providing the fundamental definitions of operations related to these sets, we establish several key properties and explore the relationships between generalized interval-valued neutrosophic sets and...

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Bibliographic Details
Main Authors: Anjan Mukherjee, Rakhal Das
Format: Article
Language:English
Published: Islamic Azad University, Bandar Abbas Branch 2025-06-01
Series:Transactions on Fuzzy Sets and Systems
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Online Access:https://sanad.iau.ir/journal/tfss/Article/1130042
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Summary:<p>In this work, we introduce the idea of generalized interval-valued neutrosophic sets. After providing the fundamental definitions of operations related to these sets, we establish several key properties and explore the relationships between generalized interval-valued neutrosophic sets and other related concepts. Finally, we extend the notion of generalized neutrosophic topological spaces to incorporate generalized interval-valued neutrosophic topological spaces. We define the concept of generalized interval-valued neutrosophic g-continuous function between two generalized interval-valued neutrosophic topological spaces. Lastly, an application has been shown in decision making problem.</p>
ISSN:2821-0131