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Zhang, B., Wan, L., Wang, C. Y.. (1402). (2209-7653) On the distributivity property of uninorms locally internal on the boundary over noncontinuous t-(co)norms. نشریه علمی دانشگاه سیستان و بلوچستان, (), -. doi: 10.22111/ijfs.2023.7584
B. Zhang; L. Wan; C. Y. Wang. "(2209-7653) On the distributivity property of uninorms locally internal on the boundary over noncontinuous t-(co)norms". نشریه علمی دانشگاه سیستان و بلوچستان, , , 1402, -. doi: 10.22111/ijfs.2023.7584
Zhang, B., Wan, L., Wang, C. Y.. (1402). '(2209-7653) On the distributivity property of uninorms locally internal on the boundary over noncontinuous t-(co)norms', نشریه علمی دانشگاه سیستان و بلوچستان, (), pp. -. doi: 10.22111/ijfs.2023.7584
Zhang, B., Wan, L., Wang, C. Y.. (2209-7653) On the distributivity property of uninorms locally internal on the boundary over noncontinuous t-(co)norms. نشریه علمی دانشگاه سیستان و بلوچستان, 1402; (): -. doi: 10.22111/ijfs.2023.7584

(2209-7653) On the distributivity property of uninorms locally internal on the boundary over noncontinuous t-(co)norms

Iranian Journal of Fuzzy Systems
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 29 فروردین 1402    اصل مقاله (234.48 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22111/ijfs.2023.7584
نویسندگان
B. Zhang1؛ L. Wan2؛ C. Y. Wang* 3
1Foundational Courses Department, Wuhan Donghu University, Wuhan 430212, PR China
2School of Mathematics and Physics, Qingdao University of Science and Technology, Qingdao 266061, PR China
3School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, PR China
چکیده
This paper characterizes a uninorm distributive over a noncontinuous t-(co)norm, where the uninorm is locally internal on the boundary. Firstly, when the uninorm is disjunctive, the necessary conditions (resp. the sufficient conditions) for a uninorm distributive over a noncontinuous t-norm are analyzed under the certain condition. Secondly, the distributivity of a conjunctive uninorm over a noncontinuous t-conorm is characterized by duality. In particular, this paper is related to the open question recalled by Klement in the Linz2000 closing session, which provides the noncontinuous solutions of that question.
کلیدواژه‌ها
Fuzzy connectives؛ aggregation operators؛ uninorms؛ distributivity
آمار
تعداد مشاهده مقاله: 17
تعداد دریافت فایل اصل مقاله: 26


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