Gregg C. Oden, "Integration of fuzzy logical information," Journal of Experimental Psychology, vol. 3, no. 4, pp. 565--575, 1977.  Home/Search   Document Not in Database   Summary   Related Articles   Check

....defuzzification, and everywhere positive membership functions are capable of approximating any potential control function on a compact set to arbitrary accuracy. 2. One of the reasons why it is reasonable to choose ab for the Gammaoperation is that, according to the psychological literature [17,23], the functions min(a; b) and ab provide the best known description of what we humans actually understand the word and to mean. 3. As a particular case, we get a similar result for Gaussian membership functions: THEOREM [20] A methodology M for which f (a; b) ab, x is Gaussian, y is ....

G. C. Oden, Integration of fuzzy logical information, Journal of Experimental Psychology: Human Perception Perform., 3, No. 4 (1977) 565--575.

....context [Z75, pp. 225 226] Since then several 6 dozens different Gamma and Gammaoperations have been proposed and successfully used. Some operations have been discovered empirically while working on real expert systems (e.g. the famous MYCIN [BS84] or while analyzing commonsense reasoning [O77, Z78]) some of them were proposed on a more theoretical basis (see, e.g. DP80, KF88] A survey of such operations is given in [KQLFLKBR92] The natural properties of an Gammaoperation f are as follows: ffl First, since A B and B A mean the same, we must demand that f(a; b) f(b; a) for all a ....

G. C. Oden. Integration of fuzzy logical information, Journal of Experimental Psychology: Human Perception Perform., 1977, Vol. 3, No. 4, pp. 565--575.

....on the context [19, pp. 225 226] Since then several dozens different Gamma and Gammaoperations have been proposed and successfully used. Some operations have been discovered empirically while working on real expert systems (e.g. the famous MYCIN [3] or while analyzing commonsense reasoning [16, 20]) some of them were proposed on a more theoretical basis (see, e.g. 6, 8] A survey of such operations is given in [11] Definition 1. i) By a binary operation (or operation for short) we mean a function f(a; b) from [0; 1] Theta [0; 1] into [0,1] ii) A binary operation is called a ....

Oden, G.(1977). Integration of Fuzzy Logical Information, Journal of Experimental Psychology: Human Perception Perform., Vol. 3, No. 4.

....context [Z75, pp. 225 226] Since then several dozens different Gamma and Gammaoperations have been proposed and successfully used. Some operations have been discovered empirically while working on real expert systems (e.g. the famous MYCIN [BS84] or while analyzing commonsense reasoning [O77, Z78]) some of them were proposed on a more theoretical basis (see, e.g. DP80, KF88] A survey of such operations is given in [KQLFLKBR92] One of the most successful applications of this type of uncertainty representation is in the area of intelligent control. This area was first outlined by L. ....

G. C. Oden. Integration of fuzzy logical information, Journal of Experimental Psychology: Human Perception Perform., 1977, Vol. 3, No. 4, pp. 565--575.

....belief a = d(A) and b = d(B) then the resulting degrees of belief d(A B) f (a; b) and d(A B) f (a; b) must also change gradually. It turns out that this reasonable demand is satisfied by only one pair of operations: min and max. This result is in good accordance with the known experiments [5, 12, 15], according to which in many situations, min and max describe human reasoning better than other possible and operations. Definition 1. By a finite logic, we understand a (partially) ordered finite set L that contains two elements T and F such that F a T for every a 2 L. The elements of L ....

G. C. Oden, "Integration of fuzzy logical information", Journal of Experimental Psychology: Human Perception Perform., 1977, Vol. 3, No. 4, pp. 565--575.

....our degree of belief t(A B) t(A B) of a composite statement (obtained by applying and and or to the component ones A and B) if we know the degrees of beliefs t(A) and t(B) of the component statements. Which and Operations Should We Choose. Experiments with expert estimates showed [29, 53, 68] that, on average, the following estimates describe the human reasoning the best: min(t(A) t(B) for t(A B) and max(t(A) t(B) for t(A B) Second best fits are t(A) Delta t(B) for t(A B) and t(A) t(B) Gamma t(A) Delta t(B) for t(A B) Thus, we have two possibilities for each operation, ....

G. C. Oden, "Integration of fuzzy logical information", Journal of Experimental Psychology: Human Perception Perform., 1977, Vol. 3, No. 4, pp. 565--575.

....not seem to give any interpretation of such changes, giving as result hardly understandable explanations. This problem was noticed by Elsaesser, that in [34] proposed the use of Polya shaded inductive patterns [94] for linguistic explanation of Bayesian inference. Elsaesser uses Oden s model [86] to create the linguistic labels related to changes in probability. Another approach is the one followed by Neufeld [82] Wellman [117] and Parsons [88] this time from the field of qualitative uncertainty. The idea behind their work is finding whether a fact A is favoured, unfavoured or not ....

G. C. Oden. Integration of fuzzy logical information. Journal of Experimental Psychology: Human Perception and Performance, 3(4):565--575, 1977.

....results. For example, in [33] Zadeh define big = long wide high, but long Theta wide Theta high looks much more reasonable than minf long ; wide ; high g as big s membership function. Some psychological results are also inconsistent with the results predicted by the min rule ([16, 21]) Though there are some works show that max and min can be deduced from certain axioms ( 2, 7] it is still unclear that whether human cognitions really follows these axioms or why should we follow them. ffl In his later papers ( 3, 32] Zadeh admitted that in some contexts the ....

....than to fuzzy logic. For instance, the operations used for disjunction and conjunction are algebraic sum product, rather than max min ( 26] As a result, the truth value of the result is sensitive to the truth values of all the premises, so to avoid some counter intuitive results of fuzzy logic ([16]) This doesn t mean that a probability distribution on the proposition space is sufficient for representing the uncertainty in the system s knowledge base. To represent ignorance and to revise the system s belief in a general sense, a second number, confidence, is used in NARS, which is a real ....

G. Oden. Integration of fuzzy logical information. Journal of Experimental Psychology: Human Perception and Performance, 3:565--575, 1977.

....degrees of belief d(A B) f (a; b) and d(A B) f (a; b) must also change gradually. It turns out that this reasonable demand is satisfied by only one pair of operations: min and max, that were originally proposed by L. Zadeh [67] This result is in good accordance with the known experiments [19, 56, 68], according to which in many situations, min and max describe human reasoning better than other possible and operations. Definition 18. By a finite logic, we understand a (partially) ordered finite set L that contains two elements T and F such that F a T for every a 2 L. The elements of L ....

G. C. Oden, "Integration of fuzzy logical information ", Journal of Experimental Psychology: Human Perception Perform., 1977, Vol. 3, No. 4, pp. 565--575.

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Gregg C. Oden, "Integration of fuzzy logical information," Journal of Experimental Psychology, vol. 3, no. 4, pp. 565--575, 1977.

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G. C. Oden. Integration of fuzzy logical information, Journal of Experimental Psychology: Human Perception Perform., 1977, Vol. 3, No. 4, pp. 565--575. 6

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G. C. Oden. "Integration of fuzzy logical information", Journal of Experimental Psychology: Human Perception Perform., 1977, Vol. 3, No. 4, pp. 565--575.

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G. C. Oden, "Integration of fuzzy logical information", Journal of Experimental Psychology: Human Perception Perform., 3 (4), 565--575 (1977).

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