This paper introduces multifunctions in temporal picture fuzzy topological spaces, highlighting new types of continuity.
This paper joins the notion of multifunctions to the notion of a temporal picture fuzzy modal topological structures (TPFMTS) using ideals. In this paper, we introduce the notion of temporal picture fuzzy local function and TPF-ideal topological spaces. Also, we introduce the concepts of TPFᵘ or TPFˡ LP-continuous, almost LP-continuous, weakly LP-continuous and almost weakly LP-continuous multifunctions. Several properties and characterizations of the presented multifunctions and their types of continuity are established. Some examples are given to explain the correct implications between these notions.
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Shi et al. (2025) studied this question.
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