Regular PapersNo Access

MANY-VALUED R-S MEMORY CIRCUITS

MILAN PETRÍK

Department of Cybernetics, Czech Technical University, Technicka 2, Prague, 166 27, Czech Republic

https://doi.org/10.1142/S0218488508005388Cited by:0 (Source: Crossref)

Abstract

In this paper we present a many-valued memory circuit based on a generalization of the R-S memory circuit known from the two-valued logical circuits.

Based on this many-valued R-S memory circuit we introduce a many-valued level-controlled memory circuit and a many-valued edge-controlled memory circuit of type “master-slave”.

We discuss problems of the stability of the circuit with respect to small errors of input and output signals as well as to small errors of the gates. We show that the stability can be preserved by restricting the set of logical values, i.e. the interval [0, 1], to a finite discrete subset of this interval.

We find the set of many-valued operations which are suitable for the implementation of the many-valued R-S memory circuit.

Keywords:

References

J. Bokr and V. Jáneš , Logical Systems ( CTU , Prague , 1999 ) . Google Scholar
E. Gates , Introduction to Electronics ( Thomson Delmar Learning , 2001 ) . Google Scholar
K. Hirota and K. Ozawa, IEEE Trans. Systems, Man, and Cybernetics 19(5), 980 (1989), DOI: 10.1109/21.44013. Crossref, Web of Science, Google Scholar
K. Hirota and K. Ozawa, Fuzzy Sets and Systems 32, 139 (1989), DOI: 10.1016/0165-0114(89)90250-9. Crossref, Web of Science, Google Scholar
K. Hirota and W. Pedrycz, Fuzzy Sets and Systems 39, 261 (1991), DOI: 10.1016/0165-0114(91)90097-A. Crossref, Web of Science, Google Scholar
G. E. Hoernes and M. F. Heilweil , Introduction to Boolean Algebra and Logic Design ( McGraw Hill , New York, San Francisco, Toronto, London , 1964 ) . Google Scholar
L. T. Kóczy, K. Hirota and K. Ozawa, Fuzzy Sets and Systems 39, 1 (1991). Crossref, Web of Science, Google Scholar
L. T. Kóczy and K. Ömori, Fuzzy Sets and Systems 39, 215 (1991). Web of Science, Google Scholar
H. Kubátová and Z. Blažek , Logical Systems: Exercises ( CTU , Prague , 1999 ) . Google Scholar
K. Ozawa, K. Hirota and L. T. Kóczy, Fuzzy Logic, Implementation and Applications (Wiley and Teubner, 1996) pp. 197–236. Google Scholar
W. Pedrycz, Fuzzy Sets Engineering (CRC Press, 1995) pp. 223–252. Google Scholar
B. Ram , Computer Fundamentals Architecture and Organization ( New Age Publishers , 2000 ) . Google Scholar
J. Virant, N. Zimic and M. Mraz, Fuzzy Sets and Systems 102, 175 (1999), DOI: 10.1016/S0165-0114(97)00099-7. Crossref, Web of Science, Google Scholar