Proposes a new framework for metric spaces with integrated functions, highlighting practical applications.
In this paper, we propose a novel concept of modified intuitionistic fuzzy double controlled metric spaces. Unlike traditional intuitionistic fuzzy bb-metric spaces, this framework integrates two non-comparable functions within the triangle inequality. To demonstrate the relevance and applicability of our results, we include illustrative examples and practical applications.
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Gupta et al. (2025) studied this question.
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