Abstract
Soft S-acts are defined over S-acts. Some properties of soft S-acts are discussed. Soft subact of a soft S-act over an S-act may not be a soft S-act over the S-act. \(\left( \alpha,\beta \right) \)-fuzzy S-acts are defined and characterized by soft S-acts. Fuzzy subacts with thresholds of an S-act are defined and characterized by soft S-acts. Finally, implication-based fuzzy subacts are defined, particularly the implication operators in \(\pounds\)ukasiewicz system of continuous-valued logic are discussed.
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