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Soft Computing

, Volume 23, Issue 24, pp 12981–12989 | Cite as

Fuzzified group actions

  • Ju-Mok OhEmail author
Foundations
  • 8 Downloads

Abstract

Recently, the concept of fuzzy actions, a fuzzified concept of group actions, has been introduced to deal with situations where imprecision and uncertainty are present. In this paper, we redefine the concept of fuzzy actions in a rather simple form to be more suitable for ambiguous situations. We demonstrate that this redefined concept is consistent with the well-known concept of quasi-perfect fuzzy actions and derive various mathematical properties of fuzzy actions related with the concept of fuzzy functions.

Keywords

Fuzzy action Indistinguishable operator t-norm Fuzzy function Strong fuzzy function 

Notes

Compliance with ethical standards

Conflict of interest

The author declares that he has no conflict of interest.

Ethical approval

This article does not contain any studies with human participants or animals performed by the author.

References

  1. Boixader D, Recasens J (2018) Fuzzy actions. Fuzzy Sets Syst 339:17–30MathSciNetCrossRefGoogle Scholar
  2. Demirci M, Recasens J (2004) Fuzzy groups, fuzzy functions and fuzzy equivalence relations. Fuzzy Sets Syst 144:441–458MathSciNetCrossRefGoogle Scholar
  3. Klement EP, Mesiar R, Pap E (2000) Triangular norms. Kluwer, DordrechtCrossRefGoogle Scholar
  4. Recasens J (2010) Indistinguishability operators. Springer, BerlinzbMATHGoogle Scholar

Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of MathematicsGangneung-Wonju National UniversityGangneungRepublic of Korea

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