On distributivity equations for uninorms over semi-t-operators

Su Yong; Zong Wenwen; Liu Hua-Wen

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On distributivity equations for uninorms over semi-t-operators

机译：关于半t算子上单数的分布方程

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摘要

Recently, Drygas generalized nullnorms and t-operators and introduced semi-t-operators by eliminating commutativity from the axioms of t-operators. Distributivity equations were investigated in families of certain operations (e.g. triangular norms, conorms, uninorms and nullnorms (or called t-operators)). In this paper, we give out the solutions of distributivity equations for uninorms over semi-t-operators. Previous results about distributivity equations for uninorms over nullnorms can be obtained as corollaries. (C) 2015 Elsevier B.V. All rights reserved.

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来源
《Fuzzy sets and systems》 |2016年第15期|41-65|共25页
作者
Su Yong; Zong Wenwen; Liu Hua-Wen;
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作者单位

Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China;

Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China;

Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Fuzzy connectives and aggregation operators; Functional equations; Distributivity condition; Uninorm; Semi-t-operator;

机译：模糊连接词和集合算子;函数方程;分布条件;Uninorm;Semi-t-算子;

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2. Left and right distributivity equations for semi-t-operators and uninorms [J] . Drygas Pawel, Qin Feng, Rak Ewa Fuzzy sets and systems . 2017,第octa15期

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3. The left (right) distributivity of semi-t-operators over 2-uninorms [J] . Current Organic Synthesis . 2020,第3期

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4. Left and right distributivity of semi-t-operators over conjunctive uninorms [C] . Dragan Jocic, Ivana Stajner-Papuga IEEE International Symposium on Intelligent Systems and Informatics . 2018

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5. Topics in nonlinear elliptic equations: (1) Bifurcation theory of nonlinear elliptic equations; (2) Spike layer solutions of the Cahn-Hilliard equation. [D] . Shi, Junping. 1998

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7. On Distributivity and Conditional Distributivity of S-uninorms over Uninorms [O] . 2019

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On distributivity equations for uninorms over semi-t-operators

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