Abstract
In this paper, we will introduce a novel perspective on Fuzzy Logic by referring to the theories of Chu Space and Information Flow, i.e., Channel Theory, which results in a deep insight on the interaction and coordination of agents with environments. First, a constraint-oriented interpretation of fuzzy set is introduced yielding the notion of Constraint-Interval Fuzzy Set (CoIFS). Then the above theories are introduced, which elucidate the basic structures of fuzzy inference as constraint propagation yielding the spaces of Coordination and Interaction. Also, the structure of Information Transmission Channel of constraint propagation is clarified together with its relevance with the results by the theory of Chu Space. All the results can be used to elucidate the basic structure of “interfacing (interfacing media)” between agents and environments.
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References
Katai, O., Ida, M., Sawaragi, T., Iwai, S.: Treatment of Fuzzy Concept by Order Relations and Constraint-Oriented Fuzzy Inference. In: Proc. of NAFIPS 1990, Quarter Century of Fuzziness, pp. 300–303 (1990)
Katai, O., Horiuchi, T., et al.: Chaotic Behavior of Fuzzy Symbolic Dynamics and Its Relation to Constraint-Oriented Problem Solving with Hierarchical Structures Reflecting Natural Life. In: Proc. of FUZZ-IEEE/IFES 1995, vol. 3, pp. 1955–1962 (1995)
Katai, O., Horiuchi, T., Sawaragi, T.: The Cause and Meaning of Chaos Phenomena in Symbiotic Problem Solving Uniting Natural System Redundancy and Artificial System Logicality. In: Proc. of International Symposium on System Life, pp. 253–262 (1997)
Zadeh, L.A.: The Concept of a Linguistic Variable and Its Application to Approximate Reasoning, part 1. Information Sciences 8, 199–249 (1975)
Negoita, C.V., Ralescu, D.A.: Representation Theorems for Fuzzy Concepts. Kybernetes 4, 169–174 (1975)
Pratt, V.: Chu Spaces from the Representational Viewpoint. Parikh Festschrift (1997)
Gupta, V.: Chu Spaces: A Model of Concurrency, PhD Thesis, Stanford University (1994)
Barwise, J., Seligman, J.: Information Flow: The Logic of Distributed Systems. Cambridge University Press, Cambridge (1997)
Shimojima, A.: What we can do with Channel Theory. Journal of Japan Society for Fuzzy Theory and Systems 10(5), 775–784 (1998) (in Japanese)
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© 1999 Springer-Verlag Berlin Heidelberg
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Sato, K., Horiuchi, T., Hiraoka, T., Kawakami, H., Katai, O. (1999). Fuzzy Logic as Interfacing Media for Constraint Propagation Based on Theories of Chu Space and Information Flow. In: Zhong, N., Skowron, A., Ohsuga, S. (eds) New Directions in Rough Sets, Data Mining, and Granular-Soft Computing. RSFDGrC 1999. Lecture Notes in Computer Science(), vol 1711. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-48061-7_38
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DOI: https://doi.org/10.1007/978-3-540-48061-7_38
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-66645-5
Online ISBN: 978-3-540-48061-7
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