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...Fuzzy relation it s corresponding matrix is as follows a b c d mainly useful when expressing knowledge generally the composed of rules and facts rule can contain concept possibility event after has occurred for instance let us assume that set events r then by occurrence in previous crisp represents from sets to its domain range be defined dom x y p ran definition this are max yb xa becomes support given certain vector if an element value between we call gathering composition such vectors perform ij operations on these matrices sum product axb ab k ik kj scalar oa where dod example followings examples here have closer look at first row second column calculated applying min operation values those same manner obtained procedure calculation third all i j holds bigger than aij bij adb also arbitrary t following sadsb atdbt form elements represent membership denoted m know now one kind therefore apply u union two relations rs use sign n extend prr pri e concerning intersection function symbo...