Generalized Interval-Valued Neutrosophic Set and Its Application
Subject Areas : Transactions on Fuzzy Sets and Systems
Anjan Mukherjee
1
*
,
Rakhal Das
2
1 - Department of Mathematics, Tripura University Agartala, Agartala, India, Pin-977022.
2 - Department of Mathematics, The ICFAI University Tripura, Agartala, India, Pin-977210.
Keywords: Neutrosophic Set, Neutrosophic Topology, Interval-Valued Neutrosophic set, Generalized Neutrosophic set, Generalized Interval-Valued Neutrosophic Set, Generalized Interval-Valued Neutrosophic Topological Space.,
Abstract :
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.
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