Abstract
In this paper, we introduce and characterize double fuzzy weakly preopen and double fuzzy weakly preclosed functions between I-double gradation fuzzy topological spaces and also study these functions in relation to some other types of already known functions.
Highlights
In the history of science, new theories have always been necessary in order for existing scientific theories to progress and this will continue to be true in the future
Two examples of essentially different mathematical theories that deal with the concept of uncertainty are probability theory and the theory of fuzzy sets
Chang (1968); Lowen (1976); Sostak (1985); Kubiak (1985); Samanta and Mondal () and many others contributed a lot to the field of Fuzzy Topology
Summary
In the history of science, new theories have always been necessary in order for existing scientific theories to progress and this will continue to be true in the future. (Y , (1) f is double fuzzy weakly preopen, (2) For each xt ∈ P(X) and each μ ∈ IX; τ1(μ) ≥ r and τ1∗(μ) ≤ s with xt ≤ μ, there exists (r, s)-fpo set γ such that f (xt) ≤ γ and γ ≤ f (Cτ1,τ1∗ (μ, r, s)).
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