| 多变量Fuzzy关系方程组及其不等式组的解 |
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| 引用本文： | 孙永忠. 多变量Fuzzy关系方程组及其不等式组的解[J]. 系统科学与数学, 1998, 18(3): 279-283 |
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| 作者姓名： | 孙永忠 |
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| 作者单位： | 山西吕梁高等专科学校数学系!离石，033000，四川联合大学数学研究所!成都，610064 |
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| 摘 要： | G．M．Trojan等（1987年）讨论了多变量Fuzzy关系方程组与Fuzzy关系不等式组的解．本文首先指出文[1]中有一个关键结果是错误的，然后在文[1]的基础上对多变量Fuzzy关系方程组与Fuzzy关系不等式组的解作进一步讨论，我们把这类方程组的求解问题完全转化成了相应的单变量方程的求解问题，最后讨论了解之间的一些关系．
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| 关 键 词： | 多变量Fuzzy关系方程组 单变量Fuzzy关系方程 分解 幂分解 |
SOLUTION OF SYSTEMS OF MULTIVARIABLE FUZZY RELATIONAL EQUATIONS AND INEQUALITIES |
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| Sun Yongzhong. SOLUTION OF SYSTEMS OF MULTIVARIABLE FUZZY RELATIONAL EQUATIONS AND INEQUALITIES[J]. Journal of Systems Science and Mathematical Sciences, 1998, 18(3): 279-283 |
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| Authors: | Sun Yongzhong |
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| Affiliation: | (Department of Mathematics, Luliang Advanced Training College, Lishi, Shanxi 033000)Li Zhongfu(Mathematics Institute, Sichuan Union University, Chengdu 610064) |
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| Abstract: | G.M.Trojan et al. studied the solution of systems of multivariable fuzzyrelational equations (or inequalities) in [1]. In this paper, after pointing out a crucial mistakein [1], we have made a further investigation on them and obtained a complete transformationwhich only asks us to solve a single fuzzy equation (or inequality). Lastly some relations betweenthese solutions have been discussed. |
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| Keywords: | Systems of multivariable fuzzy equations simple fuzzy equation decomposition power decomposition. |
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