Control of Mental Stability in Emotion-Logic Interactive Dynamics
Stability of physical system is usually analyzed from the static and dynamic considerations of the system. Classical logic of propositions can be compared with a static physical system from the point of view of its stability. When a notion of time is attached to the classical logic, its dynamic behavior becomes comparable to the behavior of a dynamic physical system. The chapter addresses the issues of stability analysis of both (non-temporal) static and temporal logic systems. It extends propositional temporal logic by fuzzy sets and provides a general method to determine the condition for stability of a dynamic fuzzy reasoning system. The latter part of the chapter provides a framework to represent emotional dynamics by differential equations and determines the condition for stability of the dynamics. Next a control scheme to stabilize the emotional dynamics by adapting its parameters is discussed. Finally, the chapter proposes a new scheme to control the state of mind/actions, by reducing the difference between emotional states and temporal states of fuzzy reasoning system.
KeywordsEmotional State Stable Point Atomic Proposition Common Interpretation Emotional Dynamic
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- 1.Ben- Ari, M.: Mathematical Logic for Computer Science, pp. 200–241. Prentice–Hall, Englewood Cliffs (1993)Google Scholar
- 4.Konar, A.: Artificial Intelligence and Soft Computing: Behavioral Cognitive Modeling of the Human Brain. RC Press, Boca Raton (1999)Google Scholar
- 5.Konar, A., Pal, S.: Modeling cognition with fuzzy neural nets. In: Leondes, C.T. (ed.) Fuzzy Logic Theory: Techniques and Applications. Academic Press, New York (1999)Google Scholar
- 7.Kuo, B.C.: Digital Control Systems. In: Holt-Saunders International Editions, Japan, ch. 5, pp. 267–302 (1981)Google Scholar
- 8.Pal, S., Konar, A.: Cognitive Reasoning with fuzzy neural nets. IEEE Trans on Systems, Man and Cybernetics, Part B (August 1996)Google Scholar
- 9.Soanes, C. (ed.): The Compact Oxford Reference Dictionary. Oxford University Press, New York (2004)Google Scholar