A NEW KIND OF FUZZY RELATIONAL EQUATIONS

FENG QIN; PING FANG

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A NEW KIND OF FUZZY RELATIONAL EQUATIONS

机译：一类新的模糊关系方程

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摘要

In this paper, a new kind of fuzzy relational equations (FREs for short) A o~R*x = b is first introduced, and then the problem of solving solution to the FREs is discussed, where A is an m × n matrix, x and b are an n and an m dimensional column vectors, respectively. More specifically, their solvability and unique solvability are investigated, the corresponding necessary and sufficient conditions are presented, the complete solution set is obtained. It is worth noting the method to construct the complete solution set.

机译：本文首先介绍了一种新型的模糊关系方程（简称FRE）A o〜R * x = b，然后讨论了其中A为m×n矩阵的FRE的求解问题。 x和b分别是n维和m维列向量。更具体地说，研究了它们的可溶性和独特的可溶性，给出了相应的必要条件和充分条件，从而获得了完整的解集。值得注意的是构造完整解决方案集的方法。

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来源
《International journal of uncertainty, fuzziness and knowledge-based systems》 |2010年第3期|333-342|共10页
作者
FENG QIN; PING FANG;
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作者单位

College of Mathematics and Information Science, Jiangxi Normal University,330022, Nanchang, China;

College of Sciences, South China Agricultural University, 510642, Guangzhou, China;

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正文语种 eng
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关键词
uninorm; fuzzy relational equations; solvability; complete solutions; unique solvability;

机译：单调模糊关系方程;可溶解性完整的解决方案;独特的溶解度;

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2. About simple fuzzy control and fuzzy control based on fuzzy relational equations [J] . Viadimier Pavlica, Dusan Petrovacki Fuzzy Sets and Systems . 1999,第1期

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3. ANALYSIS OF CERTAIN L-FUZZY RELATIONAL EQUATIONS AND THE STUDY OF ITS SOLUTIONS BY MEANS OF THE L-FUZZY CONCEPT THEORY [J] . CRISTINA ALCALDE, ANA BURUSCO, RAMON FUENTES-GONZALEZ International Journal of Uncertainty, Fuzziness, and Knowledge-based Systems . 2012,第1期

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A NEW KIND OF FUZZY RELATIONAL EQUATIONS

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