Abstract
The aim of this paper is to introduce the concepts of somewhat slightly generalized double fuzzy semicontinuous functions and somewhat slightly generalized double fuzzy semiopen functions in double fuzzy topological spaces. Some interesting properties and characterizations of these functions are introduced and discussed. Furthermore, the relationships among the new concepts are discussed with some necessary examples.
Highlights
The aim of this paper is to introduce the concepts of somewhat slightly generalized double fuzzy semicontinuous functions and somewhat slightly generalized double fuzzy semiopen functions in double fuzzy topological spaces
In 1968, Chang [1] was the first to introduce the concept of fuzzy topological spaces
In [5,6,7,8,9,10], Atanassove introduced the notion of intuitionistic fuzzy sets
Summary
In 1968, Chang [1] was the first to introduce the concept of fuzzy topological spaces. These spaces and their generalization are later developed by Goguen [2], who replaced the closed interval [0, 1] by more general lattice L. In [5,6,7,8,9,10], Atanassove introduced the notion of intuitionistic fuzzy sets. In 1980, Jain [14] introduced the notion of slightly continuous functions. In [16], Noiri introduced the concept of slightly β-continuous functions. Sudha et al [17] introduced slightly fuzzy ω-continuous functions. The relationships among the concepts are obtained and established with some interesting counter examples
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