On hardware support for interval computations and for soft computing: theorems
Tóm tắt
This paper presents a rationale for providing hardware supported functions of more than two variables for processing incomplete knowledge and fuzzy knowledge. The result is in contrast to Kolmogorov's (1957) theorem in the numerical (nonfuzzy) case.
Từ khóa
#Hardware #Extraterrestrial measurements #Geophysical measurements #Geophysics computing #Data processing #Electric variables measurement #Computer science #Temperature measurement #Particle measurements #Elementary particlesTài liệu tham khảo
10.1016/0263-2241(94)90072-8
10.1016/1069-0115(94)90016-7
10.1016/0022-247X(78)90045-8
nesterov, 1994, interval analogues of hilbert's 13th problem, Abstracts Int Conf Interval, 185
10.1016/0377-0427(94)90179-1
nakamura, 1993, guaranteed intervals for kolmogorov's theorem (and their possible relation to neural networks), Interval Computat, 3, 183
schulte, 1995, design and applications for variable-precision, interval arithmetic coprocessors, Reliable Computing Suppl Extended Abstracts APIC Int Workshop Applicat Interval Computat, 166
10.1109/12.295858
rabinovich, 1993, Measurement Errors Theory and Practice
nguyen, 1997, A First Course in Fuzzy Logic
moore, 1959, Interval Analysis
moore, 1959, Automatic error analysis in digital computation
10.1137/1.9781611970906
10.1016/0167-8191(93)90032-G
10.1088/0026-1394/25/2/004
kreinovich, 1992, gaussian membership functions are most adequate in representing uncertainty in measurements, Proc NAFIPS North Amer Fuzzy Inform Processing Soc Conf Puerto Vallarta Mexico, ii, 618
kreinovich, 1986, methods and models of formalizing a priori information (on the example of processing measurements results), Analysis and Formalization of Computer Experiments Proc Mendeleev Metrology Inst, 37
kreinovich, 1992, what nonlinearity to choose? mathematical foundations of fuzzy control, Proc Int Conf Fuzzy Syst Intell Contr, 349
kurkova, 1991, kolmogorov's theorem is relevant, Neural Computat, 3, 617, 10.1162/neco.1991.3.4.617
10.1016/B978-0-12-428660-3.50017-3
10.1109/OPTIM.2012.6231916
10.1016/0893-6080(92)90012-8
yamakawa, 1988, intrinsic fuzzy electronic circuits for sixth generation computer, Fuzzy Computing, 157
10.1016/0165-0114(93)90253-E
10.1109/TSMC.1973.5408575
10.1016/S0019-9958(65)90241-X
yoshikawa, 1990, exclusive fuzzy hardware systems for the appraisal of orthodentic results, Int Conf Fuzzy Logic Neural Networks, 939
hammer, 1993, Numerical Toolbox for Verified Computing— I Basic Numerical Problems
10.1090/S0002-9947-1965-0210852-X
hansen, 1992, Global Optimization using Interval Analysis
hecht-nielsen, 1987, kolmogorov's mapping neural network existence theorem, IEEE Int Conf Neural Networks, 2, 11
10.1090/S0002-9904-1902-00923-3
kearfott, 1996, Applications of Interval Computations, 10.1007/978-1-4613-3440-8
kolmogorov, 1957, on the representation of continuous functions of several variables by superposition of continuous functions of one variable and addition, Dokl Akad Nauk SSSR, 114, 369
klir, 1995, Fuzzy Sets and Fuzzy Logic Theory and Applications
kreinovich, 1976, on the problem of recovering the <formula><tex>$\psi$</tex></formula>-function in nonrelativistic quantum mechanics, Teoreticheskaya Mathem Fiz, 28, 56
kreinovich, 1995, reliable computing, Suppl Extended Abstracts APIC Int Workshop on Applications Interval Computat
kreinovich, 1992, inverse problems: fuzzy representation of uncertainty generates a regularization, Proc NAFIPS North Amer Fuzzy Inform Processing Soc Conf Puerto Vallarta Mexico, ii, 418
10.1016/0165-0114(87)90163-1
10.1016/0267-7261(87)90003-0
10.1103/PhysRevLett.63.927
dubois, 1980, Fuzzy Sets and Systems Theory and Applications
fuller, 1987, Measurement Error Models, 10.1002/9780470316665
yamakawa, 1988, fuzzy microprocessors—rule chip and defuzzifier chip, Int Workshop Fuzzy Syst Applicat, 51
10.1016/0165-0114(91)90139-H
10.1007/BF01070595
tretter, 1993, interval analysis isnt fuzzy is it?, Abstracts Int Conf Numer Anal Automat Result Verification Mathem Applicat Software, 104
10.1109/MEX.1986.4306980
watanabe, 1988, reconfigurable fuzzy logic processor: a full custom digital vlsi, Int Workshop Fuzzy Syst Applicat, 49
wadsworth jr, 1990, Handbook of Statistical Methods for Engineers and Scientists
10.1109/FUZZY.1994.343676
10.1016/0022-247X(72)90129-1
togai, 1987, a fuzzy accelerator and a programming environment for real-time fuzzy control, 2nd IFSA Congress, 147
takahashi, 1990, biomedical applications of fuzzy logic controllers, Int Conf Fuzzy Logic Neural Networks, 553