A fuzzy set is a class of objects with a continuum of grades of membership. Such a set is characterized by a membership (characteristic) function which assigns to each object a grade of membership ranging between zero and one. The notions of inclusion, union, intersection, complement, relation, convexity, etc., are extended to such sets, and various properties of these notions in the context of fuzzy sets are established. In particular, a separation theorem for convex fuzzy sets is proved without requiring that the fuzzy sets be disjoint.
Lotfi A. ZadehRelated topics
characteristic class complement context convex convexity function fuzzy grade inclusion intersection membership object particular ranging relation requiring separation set theorem union zero etc continuum gradesRelated quotes
Brambles, in particular, protect and nourish young fruit trees, and on farms bramble clumps (blackberry or one of its related cultivars) can be used to exclude deer and cattle from newly set trees. As the trees (apple, quince, plum, citrus, fig) age, and the brambles are shaded out, hoofed animals come to eat fallen fruit, and the mature trees (7 plus years old) are sufficiently hardy to withstand browsing. Our forest ancestors may well have followed some such sequences for orchard evolution, assisted by indigenous birds and mammals.
Bill Mollison
Justice White's conclusion is perhaps correct, if one assumes that the task of a court of law is to plumb the intent of the particular Congress that enacted a particular provision. That methodology is not mine nor, I think, the one that courts have traditionally followed. It is our task, as I see it, not to enter the minds of the Members of Congress - who need have nothing in mind in order for their votes to be both lawful and effective - but rather to give fair and reasonable meaning to the text of the United States Code, adopted by various Congresses at various times.
Antonin Scalia
Marcel Duchamp, one of this century's pioneers, moved his work through the retinal boundaries which had been established with Impressionism into a field where language, thought and vision act upon one another. There it changed form through a complex interplay of new mental and physical materials, heralding many of the technical, mental and visual details to be found in more recent art... He declared that he wanted to kill art ('for myself') but his persistent attempts to destroy frames of reference altered our thinking, established new units of thought, a "new thought for that object."
Jasper Johns
What initially attracted me to The Seventh Seal was that it had values and characteristics which I was familiar with in other art forms, most notably, the European novel and certain forms on English drama, and indeed, in relation to my rather academic interest in history -- not "history" in the normal sense, but history as a form of entertainment. It might be a very unfashionable view but I believe that history is an amazing bank or reserve area of plots, characterisations, extraordinary events, etc.
Peter Greenaway
The nude gains its enduring value from the fact that it reconciles several contrary states. It takes the most sensual and immediately interesting object, the human body, and puts it out of reach of time and desire; it takes the most purely rational concept of which mankind is capable, mathematical order, and makes it a delight to the senses; and it takes the vague fears of the unknown and sweetens them by showing that the gods are like men and may be worshiped for their life-giving beauty rather than their death-dealing powers.
Kenneth Clark
