Каталог домашних принадлежностей: лампы, светильники, столики и т.д. contents 22 ACCESSORIES:96 FURNITURE112 backyard PATIO116 LIGHTING:128 WALL DECOR:24 SCULPTURAL gadgets: ANIMALS // 32 VARIOUS46 VASES AND BOWLS62 CANDLEHOLDERS76 CONTAINERS80 TRAYS90 ornamental items: FILLERS //92 BOOKENDS // ninety four HEARTH118 LAMPS126 CHANDELIERS AND PENDANTS130 MIRRORS138 add-ons
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The literature on fuzzy operations is quite extensive. It is important to be acquainted with the characteristics of various classes to be able to apply them appropriately when designing fuzzy systems. FUZZY OPERATIONS AND RELATIONS 27 Let us move on to the norms and conorms. t-norm is any "product" T for which the following hold: T(O, 0) = 0, T(a, 1) = T(a, 1) = a, T(a, b) S T(c, d) if as c and b S d, T(a, b) = T(b, a) , T(a, T(b, c)) = T(T(a, b), c). 15) The last three expressions in Eqs. 15 define monotonicity, commutativity and associativity, respectively.
Two examples of fuzzy sets A and B in Fig. 9. LB share only one common point. We face no difficulties, however, in using the above rule for the lower case of fuzzy sets A and B with triangular and trapezoidal shapes. The above rule tells us which set is fuzzier, however we still cannot obtain a numerical evaluation. In information theory we evaluate information on the basis of Shannon entropy. This concept of entropy was put into a fuzzy logic frame by De Luca and Termini back in 1972 . /LA(Xi) In(/LA(xi)) .
4 shows the resulting complements for w > 1 and w < 1. We say that in the former case the complement expresses greater fuzziness than in the latter according, of course, to the ordinary fuzzy negation at w = 1. 4. 1 a Yager class of fuzzy complement. This has been an overview of just one class of parametric fuzzy operations, introduced after 1980 and nowadays widely spread in the area of fuzzy systems design. Many other classes of fuzzy operations were developed by other authors. Besides Yager, there are: Schweizer (parameter p), Hamacher (parameter 'Y), Frank (parameter s), Dubois and Prade (parameter a), and many others [1, 2].