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Abstract
The concept of s-continuous functions (Kohli, 1978) is translated in fuzzy setting into two concepts, fuzzy s-continuous functions and fuzzy os-continuous functions. The concepts of semiconnected functions (Kohli, 1978) and semilocally connected spaces (Kohli, 1978) do the same. Interactions between those concepts in fuzzy setting and fuzzy continuity (Chang, 1968) are discussed. Also, characterizations of semilocally connected and semilocally o-connected fuzzy topological spaces in terms of fuzzy s-continuous functions and fuzzy os-continuous functions, respectively, are obtained.
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