Download Advances in Computing Science — ASIAN’99: 5th Asian by Nicolas Halbwachs, Pascal Raymond (auth.), P. S. PDF

By Nicolas Halbwachs, Pascal Raymond (auth.), P. S. Thiagarajan, Roland Yap (eds.)

This publication constitutes the refereed court cases of the fifth Asian Computing technological know-how convention, ASIAN'99, held in Phuket, Thailand, in December 1999.
The 28 revised complete papers provided including invited contributions and eleven brief shows have been rigorously reviewed and chosen from a complete of 114 submissions. one of the subject matters addressed are programming conception, formal equipment, automatic reasoning, verification, embedded platforms, real-time structures, dispensed structures, and cellular computing.

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Extra info for Advances in Computing Science — ASIAN’99: 5th Asian Computing Science Conference Phuket, Thailand, December 10–12,1999 Proceedings

Example text

Tn } Output: output value o 1 begin 2 foreach Op where p is the output linguistic variables do Op = 0 od 3 foreach ti ∈ I do 4 foreach l ∈ Li do // for every linguistic variable of input ti 5 compute µl (ti ) od od 7 foreach tuple (µ(x1 ,l1 ) (t1 ), µ(x2 ,l2 ) (t2 ), . . , µ(xn ,ln ) (tn )), ∀l1 ∈ L1 , l2 ∈ L2 , . . , ln ∈ Ln do 8 r = min(µ(x1 ,l1 ) (t1 ), µ(x2 ,l2 ) (t2 ), . . , µ(xn ,ln ) (tn )) 9 q = compute CSG using µ(x1 ,l1 ) (t1 ), µ(x2 ,l2 ) (t2 ), . . , µ(xn ,ln ) (tn ) 10 if q is not don’t care variable φ then Oq = max(Oq , r) fi 11 odendfor 12 o = defuzzify ( {Op : Op is the output linguistic variables} ) 13 end Let {p} be a set of output linguistic variables.

Xn , for each rule i, Equation 1 determines a modified output function µYi (y) that is used in the defuzzification process µYi (y) = µYi (y) if µYi (y) < ri ri otherwise (1) where the rule strength ri , calculated by Equation 2, is the limit of the output strength Yi . ri = minnj=1 µXij (xj ) (2) If more than one rules give the same linguistic variable output Yi and therefore generates a new function µYi (y), each µYi (y) is combined by using the max operation. Rapid Prototyping Techniques for Fuzzy Controllers µYi (y) = max∀Yk =Yi (µYk (y)) 43 (3) Based on the above equations and the given CSG, the following algorithm presents the overall inference process.

4. 5. 6. 7. 8. If If If If If If If If x1 x1 x1 x1 x1 x1 x1 x1 = = = = = = = = low (x1 , L) and x2 = low (x2 , L) low (x1 , L) and x2 = medium (x2 , M) low (x1 , L) and x2 = high (x2 , H) medium (x1 , M) and x2 = low (x2 , L) medium (x1 , M) and x2 = high (x2 , H) high (x1 , H) and x2 = low (x2 , L) high (x1 , H) and x2 = medium (x2 , M) high (x1 , H) and x2 = high (x2 , H) Then Then Then Then Then Then Then Then u u u u u u u u = = = = = = = = high (u, H) medium (u, M) low (u, L) high (u, H) low (u, L) high (u, H) medium (u, M) low (u, L) Fig.

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