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Generalized fuzzy S-acts and their characterization by soft S-acts

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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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Acknowledgments

Authors are highly grateful to referees for their suggestions and comments which helped us a lot to improve this paper.

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Authors and Affiliations

  1. Department of Mathematics, IMCB, F-7/3, Islamabad, Pakistan

    Muhammad Irfan Ali

  2. Department of Mathematics, Yzad University, Yzad, Iran

    B. Davvaz

  3. Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan

    Muhammad Shabir

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  1. Muhammad Irfan Ali
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  2. B. Davvaz
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  3. Muhammad Shabir
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Correspondence to Muhammad Irfan Ali.

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Ali, M.I., Davvaz, B. & Shabir, M. Generalized fuzzy S-acts and their characterization by soft S-acts. Neural Comput & Applic 21 (Suppl 1), 9–17 (2012). https://doi.org/10.1007/s00521-011-0554-1

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  • DOI: https://doi.org/10.1007/s00521-011-0554-1

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