Knowledge representation and accumulation by fuzzy flip-flops. (English) Zbl 0717.94019
Summary: An interesting problem in fuzzy computer engineering is the construction of a fuzzy memory which is able to store fuzzy information ‘bit by bit’. Recently, some investigations have been done applying the min-max fuzzy conjunctive pair, but the idea of constructing fuzzy memory on the basis of other operations has not been yet discussed in detail. In this paper we deal especially with the possibilities based on algebraic operations for modeling fuzzy memory and learning systems.
MSC:
| 94C10 | Switching theory, application of Boolean algebra; Boolean functions (MSC2010) |
| 94D05 | Fuzzy sets and logic (in connection with information, communication, or circuits theory) |
| 68T30 | Knowledge representation |
Keywords:
fuzzy bit; fuzzy flip-flop; fuzzy learning; fuzzy computer engineering; fuzzy memory; fuzzy information; min-max fuzzy conjunctive pairReferences:
| [1] | Yamakawa, T.; Miki, T.; Ueno, F., The design and fabrication of the current mode fuzzy logic semi-custom IC in the standard CMOS IC technology, (Proc. 1985 ISMVL (1985), IEEE), 76-82 |
| [2] | Yamakawa, T., High-speed fuzzy controller hardware system, (Proc. of the 2nd Fuzzy System Symposium of the IFSA Japan Chapter. Proc. of the 2nd Fuzzy System Symposium of the IFSA Japan Chapter, Tokyo (1986)), 122-130 |
| [3] | Yamakawa, T., A Simple fuzzy computer system applying min & max operations — A challenge to 6th generation computer, (Proceedings of the 2nd IFSA World Congress, Vol. 2 (1987)), 827-830, Tokyo |
| [4] | Togai, M.; Watanabe, H., A VLSI implementation of fuzzy inference engine toward an expert system on a chip, (Proc. of the 2nd Int. Conf. on AI and Applications (1985), IEEE), 192-197 |
| [5] | Kosko, B., Fuzzy entropy and conditioning, Inform. Sci., 40, 165-174 (1986) · Zbl 0623.94005 |
| [6] | Hirota, K.; Ozawa, K., Fuzzification of flip-flop based on various logical operations, Bulletin of the College of Eng. Hosei Univ., 69-94 (1987), Koganei-city |
| [7] | Hirota, K.; Ozawa, K., Fuzzy flip-flop as a basis of fuzzy memory modules, (Gupta, M. M.; Yamakawa, T., Fuzzy Computing: Theory, Hardware, Realization and Applications (1988), North-Holland: North-Holland Amsterdam) · Zbl 0709.94625 |
| [8] | Hirota, K.; Ozawa, K., Concept of fuzzy flip flop, (Proceedings of the 2nd IFSA World Congress, Vol. 2 (1987)), 556-559, Tokyo |
| [9] | Kóczy, L. T., Vectorial \(I\)-fuzzy sets, (Gupta, M. M.; Sanchez, E., Approximate Reasoning in Decision Analysis (1982), North-Holland: North-Holland Amsterdam-New York), 151-156 · Zbl 0496.00014 |
| [10] | Kóczy, L. T.; Magyar, C., On the minimal axiomatic system of \(I\)-fuzzy structure, BUSEFAL, 32, 19-31 (1987) · Zbl 0663.03011 |
| [11] | Hirota, K.; Kóczy, L. T.; Ozawa, K., Fundamental logic in fuzzy flip-flops, (Proc. Nineteenth Annual Pittsburgh Conference on Modeling and Simulation (1988), University of Pittsburgh School of Engineering: University of Pittsburgh School of Engineering Pittsburgh), 2165-2168 |
| [12] | Hirota, K.; Kóczy, L. T.; Ozawa, K., Discrete mode algebraic fuzzy flip-flop circuit, (Proc. Internat. Workshop on Fuzzy System Applications (1988), Kyushu Institute of Technology: Kyushu Institute of Technology Iizuka), 39-40 |
| [13] | Kóczy, L. T., Some remarks concerning fuzzy digital circuits, (Hansen, H. R.; Janko, W. H., 2nd Joint IFSA-EC EURO-WG Workshop on “Progress in Fuzzy Sets in Europe” Abstracts (1988), University of Economical Science: University of Economical Science Vienna), 61-65 |
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