Fuzzy Sets and their Applications to Cognitive and Decision - download pdf or read online

By Lotfi A. Zadeh, King-Sun Fu, Kokichi Tanaka, Masamichi Shimura

ISBN-10: 0127752609

ISBN-13: 9780127752600

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Additional resources for Fuzzy Sets and their Applications to Cognitive and Decision Processes. Proceedings of the US–Japan Seminar on Fuzzy Sets and their Applications, Held at the University of California, Berkeley, California, July 1–4, 1974

Sample text

A. 29) X iS P If x Is P then y Is S y is S However, if P « Q. 5. The compositional form of the modus ponens is of use in the formulation of fuzzy algorithms and the execution of fuzzy Instructions [11]. The paper by S. K. Chang [12] and the recent theses by Fellinger [13] and LeFaivre [14] pre­ sent a number of interesting concepts relating to such in­ structions and contain many Illustrative examples. 24 FUZZY SETS AND THEIR APPLICATIONS 4. CONCLUDING REMARKS In the foregoing discussion, we have attempted to convey some of the main ideas behind the calculus of fuzzy restric­ tions and its application to approximate reasoning.

5. The compositional form of the modus ponens is of use in the formulation of fuzzy algorithms and the execution of fuzzy Instructions [11]. The paper by S. K. Chang [12] and the recent theses by Fellinger [13] and LeFaivre [14] pre­ sent a number of interesting concepts relating to such in­ structions and contain many Illustrative examples. 24 FUZZY SETS AND THEIR APPLICATIONS 4. CONCLUDING REMARKS In the foregoing discussion, we have attempted to convey some of the main ideas behind the calculus of fuzzy restric­ tions and its application to approximate reasoning.

14. R. LeFaivre, "Fuzzy Problem Solving," Tech. Report 37, Madison Academic Computing Center, University of Wis­ consin, August I974. 15. J. Goguen, "L-Fuzzy Sets," Jour. Math. , Vol. 18, pp. 145-174, 1967. 16. J. G. Brown, "A Note on Fuzzy Sets," Inf. Control, Vol. 18, pp. 32-39, 1971. 17. A De Luca and S. Termini, "Algebraic Properties of Fuz­ zy Sets," Jour. Math. , Vol. 40, PP. 373-386, 1972. , with or without subscripts, are generally used to denote specific universes of discourse, which may be arbitrary collections of objects, concepts or mathematical constructs.

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Fuzzy Sets and their Applications to Cognitive and Decision Processes. Proceedings of the US–Japan Seminar on Fuzzy Sets and their Applications, Held at the University of California, Berkeley, California, July 1–4, 1974 by Lotfi A. Zadeh, King-Sun Fu, Kokichi Tanaka, Masamichi Shimura


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