The probability monopoly

Abstract

Probability is a very special case of fuzziness. It always faces two limits. First, it works with bivalent sets A. Second, probability measures need small infinities. A probability measure maps the sets in a sigma-algebra to the unit interval [O, 1]. Fuzzy theory challenges the probability monopoly. Probabilists have attacked it with gusto to keep their monopoly status, to have, the only uncertainty theory in the unit interval [O, 1]. But the fuzzy math is sound. Its world view of shades of gray has a deep intuitive ring. And the new fuzzy products have come into their own in the marketplace