Fuzzy flip-flops revisited

L. Kóczy, Rita Lovassy

Research output: Chapter in Book/Report/Conference proceedingChapter

2 Citations (Scopus)

Abstract

J-K flip-flops are elementary digital units providing sequential features/memory functions. Their definitive equation is used both in the minimal disjunctive and conjunctive forms. Fuzzy connectives do not satisfy all Boolean axioms, thus the fuzzy equivalents of these equations result in two non-equivalent definitions, "reset and set type" fuzzy flip-flops (F3) by Hirota & al. when introducing the concept of F3. There are many alternatives for "fuzzifying" digital flip-flops, using standard, algebraic or other connectives. The paper gives an overview of some of the most famous F3-s by presenting their definitions and presenting graphs of the inner state for a typical state value situation. Then a pair of non-associative operators is introduced, and the properties of the respective F3 are discussed. The investigation of possible fuzzy flip-flops is continued by examining Türksen's IVFS, its midpoint values, and by introducing "minimized IVFS" (MIVFS), along with the MIVFS midpoints.

Original languageEnglish
Title of host publicationAdvances in Soft Computing
Pages643-652
Number of pages10
Volume42
DOIs
Publication statusPublished - 2007

Publication series

NameAdvances in Soft Computing
Volume42
ISSN (Print)16153871
ISSN (Electronic)18600794

Fingerprint

Flip flop circuits
Data storage equipment

Keywords

  • Fuzzy logic
  • IVFS
  • J-K flip-flop
  • Logical normal forms

ASJC Scopus subject areas

  • Computational Mechanics
  • Computer Science Applications
  • Computer Science (miscellaneous)

Cite this

Kóczy, L., & Lovassy, R. (2007). Fuzzy flip-flops revisited. In Advances in Soft Computing (Vol. 42, pp. 643-652). (Advances in Soft Computing; Vol. 42). https://doi.org/10.1007/978-3-540-72434-6_65

Fuzzy flip-flops revisited. / Kóczy, L.; Lovassy, Rita.

Advances in Soft Computing. Vol. 42 2007. p. 643-652 (Advances in Soft Computing; Vol. 42).

Research output: Chapter in Book/Report/Conference proceedingChapter

Kóczy, L & Lovassy, R 2007, Fuzzy flip-flops revisited. in Advances in Soft Computing. vol. 42, Advances in Soft Computing, vol. 42, pp. 643-652. https://doi.org/10.1007/978-3-540-72434-6_65
Kóczy L, Lovassy R. Fuzzy flip-flops revisited. In Advances in Soft Computing. Vol. 42. 2007. p. 643-652. (Advances in Soft Computing). https://doi.org/10.1007/978-3-540-72434-6_65
Kóczy, L. ; Lovassy, Rita. / Fuzzy flip-flops revisited. Advances in Soft Computing. Vol. 42 2007. pp. 643-652 (Advances in Soft Computing).
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