X and Y are random variables taking values in the set (1, 2, ..., n). The entries in the joint probability matrix, P, are of the form "approximately aij," where the aij take values in the unit interval and add up to unity. What is the marginal probability distribution of X? Two special cases: (a) "approximately aij," is interpreted as an interval centering on aij; and (b) "approximately aij," is interpreted as a fuzzy triangular number centering on aij.
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