A basic norm equivalence for the theory of multilevel by Bornemann F., Yserentant H. PDF

By Bornemann F., Yserentant H.

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G. 'high') is interpreted as a label for a fuzzy restriction on the values of the base variable. The fuzzy restrictions are characterized by the compatibility functions. Each such function associates with each value of the base variable a number in the interval 47 [0,1] representing the compatibility with the fuzzy restriction. ' The hedges, connectives, and negation are used as modifiers of the operands (primary terms) in a context-dependent situation. g. for f(u)) can be done as follows: very low 4> low 2- f2(u) no t low r-)1-low -s 1-f( u) more or less highes high0 1 f05(u) extremely high t=> very(very high) = high4- f4(u) Figure 2 depicts the result of an experimental work by Hersh and Caramazza (ref.

Analysis, Design and Evaluation of Man-Machine Systems, Pergamon Press, Oxford, pp. 31-35. 38 Saaty, Fuzzy Sets and Systems, 1978 (1) 57-68. 39 G. Hirsh, M. Lamotte, M. T. Mass and M. T. Vigneron, Fuzzy Sets and Systems, 1981 (5) 267 - 275. 40 N. Moray, in Mental Workload. Its Theory and Measurement, N. ), Plenum Press, New York, 1979, pp. 13-21. 41 J. Rasmussen, in Mental Workload. Its Theory and Measurement, N. ), Plenum Press, New York, 1979, pp. 29-40. 42 C. D. Wickens, in Mental Workload.

3/x (1) } is an example of a fuzzy subset of X. 2 , 1/x3, 0/x4 In the framework of the theory of fuzzy subsets terms of the form a l /x 1 are understood to indicate that the element x l has membership grade a 1 in the fuzzy subset A. 3 in the fuzzy subset A. We note the larger the member- 30 ship grade of an element the more strongly it is a member of the fuzzy subset. If A is a fuzzy subset of X we shall generally use A(x) to indicate the membership function of A, with A( x l) indicating the membership grade of x l in the set A.

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A basic norm equivalence for the theory of multilevel methods by Bornemann F., Yserentant H.


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