Stability of linguistic modifiers compatible with a fuzzy logic
We study the representation of facts by means of linguistic variables defined on a given universe and characterized by some attributes. Deduction rules binding evidences of this type are managed through a fuzzy logic, using a generalized modus ponens process. In the case where the premise of a rule does not match exactly an observation concerning the same variable, some problems may occur with regard to the conclusion we are able to obtain and its possible further use in another rule. We consider the particular case where the difference between premise and observation can be expressed by means of a linguistic modifier and we study particular modifiers such that the conclusion deduced through the generalized modus ponens can be easily characterized, generally directly and without any computation, and interpreted in case of necessity.
Unable to display preview. Download preview PDF.
- B. Bouchon: On the forms of reasoning in expert systems; in Approximate reasoning in expert systems, M.M. Gupta, A. Kandel, W. Bandler, J.B. Kiozka (eds), North Holland, 1985, pp. 341–354.Google Scholar
- B. Bouchon: On the management of uncertainty in knowledge-based systems, in Encyclopedia of Computer Science and Technology, A.G. Holzman, A. Kent and J.G. Williams (eds), Marcel Dekker (pub.), 1987.Google Scholar
- B. Bouchon: Inferences with imprecisions and uncertainties in expert systems, in Fuzzy Expert Systems, A. Kandel (ed.), Addison-Wesley Publishing, 1987.Google Scholar
- B. Bouchon: Linguistic variables in the knowledge base of an expert system, Seventh International Congress of Cybernetics and Systems, London, 1987.Google Scholar
- B. Bouchon: Modificateurs de variables linguistiques compatibles avec une logique floue, Journées Orléanaises sur la Gestion d'Incertitudes dans les Systèmes Décisionnels, Orléans, 1987.Google Scholar
- B. Bouchon: Représentation de connaissances par des variables linguistiques et utilisation de modificateurs compatibles avec une logique floue, Revue Internationale de Systémique (submitted).Google Scholar
- B. Bouchon, S. Desprès: Propagation of uncertainties and inaccuracies in an expert system, International Conference IPMU (1986).Google Scholar
- S. Weber: A general concept of fuzzy connectives, negations and implications based on t-norms and t-conorms, Fuzzy Sets and Systems 11 (1983), 115–134.Google Scholar
- L.A. Zadeh: The concept of linguistic variable and its application to approximate reasoning, Information Sciences 8 (1975), part I: 199–249 and part II: 301–357.Google Scholar
- L.A. Zadeh: The role of fuzzy logic in the management of uncertainty in expert systems, Fuzzy Sets and Systems 11 (1983), 199–227.Google Scholar