Algebraic fuzzy flip-flop circuits

Kazuhiro Ozawa; Kaoru Hirota; LászlóT T. Kóczy; Ken Omori

doi:10.1016/0165-0114(91)90214-B

Algebraic fuzzy flip-flop circuits

Kazuhiro Ozawa^*, Kaoru Hirota, LászlóT T. Kóczy, Ken Omori

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

27 Citations (Scopus)

Abstract

Algebraic fuzzy flip-flop circuits in discrete and continuous mode are presented. The algebraic fuzzy flip-flop is one example of the general fuzzy flip-flop concept which has been defined as an extension of the binary J-K flip-flop. Two types of the algebraic fuzzy flip-flop, which are reset type and set type, are defined using complementation, algebraic product, and algebraic sum operations for fuzzy negation, t-norm, and s-norm, respectively. A unified equation of the reset type and set type of an algebraic fuzzy flip-flop is derived for the purpose of realization of hardware circuits. Based on the equation, two types of hardware circuits, in discrete mode and continuous mode, are constructed. Moreover the characteristics of various fuzzy flip-flops presented previously are investigated such as min-max fuzzy flip-flop in both discrete and continuous mode, and the algebraic fuzzy flip-flop presented in this paper.

Original language	English
Pages (from-to)	215-226
Number of pages	12
Journal	Fuzzy Sets and Systems
Volume	39
Issue number	2
DOIs	https://doi.org/10.1016/0165-0114(91)90214-B
Publication status	Published - 25 Jan 1991
Externally published	Yes

Keywords

Fuzzy flip-flop
algebraic product
algebraic sum

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10.1016/0165-0114(91)90214-B

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Ozawa, K., Hirota, K., Kóczy, L. T., & Omori, K. (1991). Algebraic fuzzy flip-flop circuits. Fuzzy Sets and Systems, 39(2), 215-226. https://doi.org/10.1016/0165-0114(91)90214-B

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N2 - Algebraic fuzzy flip-flop circuits in discrete and continuous mode are presented. The algebraic fuzzy flip-flop is one example of the general fuzzy flip-flop concept which has been defined as an extension of the binary J-K flip-flop. Two types of the algebraic fuzzy flip-flop, which are reset type and set type, are defined using complementation, algebraic product, and algebraic sum operations for fuzzy negation, t-norm, and s-norm, respectively. A unified equation of the reset type and set type of an algebraic fuzzy flip-flop is derived for the purpose of realization of hardware circuits. Based on the equation, two types of hardware circuits, in discrete mode and continuous mode, are constructed. Moreover the characteristics of various fuzzy flip-flops presented previously are investigated such as min-max fuzzy flip-flop in both discrete and continuous mode, and the algebraic fuzzy flip-flop presented in this paper.

AB - Algebraic fuzzy flip-flop circuits in discrete and continuous mode are presented. The algebraic fuzzy flip-flop is one example of the general fuzzy flip-flop concept which has been defined as an extension of the binary J-K flip-flop. Two types of the algebraic fuzzy flip-flop, which are reset type and set type, are defined using complementation, algebraic product, and algebraic sum operations for fuzzy negation, t-norm, and s-norm, respectively. A unified equation of the reset type and set type of an algebraic fuzzy flip-flop is derived for the purpose of realization of hardware circuits. Based on the equation, two types of hardware circuits, in discrete mode and continuous mode, are constructed. Moreover the characteristics of various fuzzy flip-flops presented previously are investigated such as min-max fuzzy flip-flop in both discrete and continuous mode, and the algebraic fuzzy flip-flop presented in this paper.

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Algebraic fuzzy flip-flop circuits

Abstract

Keywords

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