|تعداد مشاهده مقاله||9,882,525|
|تعداد دریافت فایل اصل مقاله||6,471,938|
On the distributivity property of uninorms locally internal on the boundary over noncontinuous t-(co)norms
|Iranian Journal of Fuzzy Systems|
|دوره 20، شماره 4، مهر و آبان 2023، صفحه 137-152 اصل مقاله (234.85 K)|
|نوع مقاله: Research Paper|
|شناسه دیجیتال (DOI): 10.22111/ijfs.2023.43521.7653|
|Bo Zhang1؛ Lijuan Wan2؛ Chun Yong Wang* 3|
|1Foundational Courses Department, Wuhan Donghu University|
|2School of Mathematics and Physics, Qingdao University of Science and Technology, Qingdao, PR China|
|3School of Mathematics and Statistics, Shandong Normal University, Jinan, PR China|
|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.|
|Fuzzy connectives؛ Aggregation operators؛ Uninorms؛ Distributivity|
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