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Iranian Journal of Fuzzy Systems، جلد ۱۴، شماره ۱، صفحات ۱۱۵-۱۳۰
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عنوان انگلیسی Implications, coimplications and left semi-uninorms on a complete lattice
چکیده انگلیسی مقاله In this paper, we firstly show that the $N$-dual operation of the right residual implication, which is induced by a left-conjunctive right arbitrary $vee$-distributive left semi-uninorm, is the right residual coimplication induced by its $N$-dual operation. As a dual result, the $N$-dual operation of the right residual coimplication, which is induced by a left-disjunctive right arbitrary $wedge$-distributive left semi-uninorm, is the right residual implication induced by its $N$-dual operation. Then, we demonstrate that the $N$-dual operations of the left semi-uninorms induced by an implication and a coimplication, which satisfy the neutrality principle, are the left semi-uninorms. Finally, we reveal the relationships between conjunctive right arbitrary $vee$-distributive left semi-uninorms induced by implications and disjunctive right arbitrary $wedge$-distributive left semi-uninorms induced by coimplications, where both implications and coimplications satisfy the neutrality principle.
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نویسندگان مقاله yuan ونگ |
college of information engineering, yancheng teachers university, jiangsu 224002, people amp;apos;s republic of china

keming تنگ |
college of information engineering, yancheng teachers university, jiangsu 224002, people amp;apos;s republic of china

zhudeng ونگ |
school of mathematics and statistics, yancheng teachers university, jiangsu 224002, people amp;apos;s republic of china

نشانی اینترنتی http://ijfs.usb.ac.ir/article_3046_01bd93593faf02d51d0a59def6a543fe.pdf
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