Abstract
In this study, we introduce the concepts of interval-valued intuitionistic fuzzy group (abbreviated IVIFG), interval-valued intuitionistic fuzzy topological group (abbreviated IVIFTG), and interval-valued intuitionistic fuzzy product topology (abbreviated IVIFPT). We delve into the fundamental features of IVIFG, IVIFTG, and IVIFPT in further detail. The characterization of IVIFG and IVIFTG is examined using the concepts of interval-valued intuitionistic fuzzy continuous (abbreviated as IVIF-continuous) and interval-valued intuitionistic fuzzy relatively continuous (abbreviated as IVIF-relatively continuous).
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