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Iranian Journal of Fuzzy Systems، جلد ۲۲، شماره ۴، صفحات ۱۷-۳۵
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عنوان انگلیسی A new insight of the distributivity for S-uninorms
چکیده انگلیسی مقاله Although the scholars studied the distributivity for S-uninorms, at least, the underlying
uninorm of one S-uninorm in the distributivity equations was assumed to be in Umin except
the distributivity for S-uninorms over t-(co)norms. In this paper, we further characterize the
distributivity for S-uninorms, where the conjunctive underlying uninorms of the S-uninorms
in the distributivity equations are not fixed in Umin but arbitrary. Firstly, we discuss the
distributivity between S-uninorms. Secondly, we analyze the distributivity for S-uninorms
over T-uninorms. Moreover, we obtain the distributivity for T-uninorms over S-uninorms by
duality. Thirdly, we investigate the distributivity for S-uninorms over disjunctive uninorms.
Because S-uninorms in those distributivity equations are arbitrary, our results are extensions
of the previous results on the distributivity for S-uninorms.
کلیدواژه‌های انگلیسی مقاله Aggregation operators,distributivity,uninorms,S-uninorms,T-uninorms
نویسندگان مقاله Chun Yong Wang |
School of Mathematical Sciences, Shandong Normal University, Jinan, PR China

Wen Yu Duan |
School of Mathematics and Statistics, Shandong Normal University, Jinan, PR China

Bo Zhang |
Foundational Courses Department, Wuhan Donghu College, Wuhan, PR China

نشانی اینترنتی https://ijfs.usb.ac.ir/article_9335_bbf407e8529cc5466b94d766e1efe02b.pdf
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