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...J k a u sci vol pp h d some remarks on sections of fuzzy matrix f i sidkyande g emam dept math faculty science zagazig university egypt abstract the concept was introduced by kim roush we study relation between and its sec tions also introduce irreflexive strongly circular keywords boolean section cir cular introouction is with elements each has value or having values in closed interval this paper show that many properties such as reflexive ir transitive nilpotent regular others can be extended to affits tnat do not extend original regularity property moreover define square irrefle xive circularity examine it throughout our results preliminaries definitions shall begin following definition operations ate defined follows b max min sidky e if where write instead remark r from x y subset are finite weputx xl xm yl yn xi rij rije andj m n so note equation s tcan written form yas above z zl zk product matrices crisp case for p bik dk l il dkj ak al az transpose rk rkr air ar vr rar only aij...