[1]曾 祯,熊清泉*.关于“模糊真值代数上的偏序”的注[J].四川师范大学学报(自然科学版),2020,43(03):304-308.[doi:10.3969/j.issn.1001-8395.2020.03.003]
 ZENG Zhen,XIONG Qingquan.Notes on “Partial Orders on Fuzzy Truth Value Algebras”[J].Journal of SichuanNormal University,2020,43(03):304-308.[doi:10.3969/j.issn.1001-8395.2020.03.003]
点击复制

关于“模糊真值代数上的偏序”的注()
分享到:

《四川师范大学学报(自然科学版)》[ISSN:1001-8395/CN:51-1295/N]

卷:
43卷
期数:
2020年03期
页码:
304-308
栏目:
基础理论
出版日期:
2020-05-05

文章信息/Info

Title:
Notes on “Partial Orders on Fuzzy Truth Value Algebras”
文章编号:
1001-8395(2020)03-0304-05
作者:
曾 祯 熊清泉*
四川师范大学 数学科学学院, 四川 成都 610066
Author(s):
ZENG Zhen XIONG Qingquan
School of Mathematical Science, Sichuan Normal University, Chengdu 610066, Sichuan
关键词:
二型模糊集 偏序 凸标准函数
Keywords:
type-2 fuzzy set partial order convex normal function
分类号:
O159
DOI:
10.3969/j.issn.1001-8395.2020.03.003
文献标志码:
A
摘要:
首先指出论文(J. Harding, C. Walker, E. Walker. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems,2015,23(2):193-219.)的一些错误,然后通过具体例子加以说明.紧接着,修改这些错误,并给出双序下MN中凸标准函数的覆盖的算法.
Abstract:
We first point out some flaws by counterexamples about the paper(J. Harding, C. Walker, E. Walker. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems,2015,23(2):193-219.). And then, modify these flaws and give a new algorithm to compute covers in the lattice of convex normal functions of MN under the double order.

参考文献/References:

[1] ZADEH L. The concept of a linguistic variable and its application to approximate reasoning[J]. Information Science,1975,8(3):199-249.
[2] MIZUMOTO M, TANAKA K. Some properties of fuzzy sets of type-2[J]. Information and Control,1976,31(4):312-340.
[3] WALKER C, WALKER E. The algebra of fuzzy truth values[J]. Fuzzy Sets and Systems,2005,149(2):309-347.
[4] WALKER C, WALKER E. Type-2 operations on finite chains[J]. Fuzzy Sets and Systems,2014,236(2):33-49.
[5] HARDING J, WALKER C L, WALKER E A. The Truth Value Algebra of Type-2 Fuzzy Sets:Order Convolutions of Functions on the Unit Interval[M]. Boca Raton:Chapman & Hall/CRC,2016.
[6] DE MIGUEL L, BUSTINCE H, DE BAETS B. Convolution lattices[J]. Fuzzy Sets and Systems,2018,15(3):67-93.
[7] HARDING J, WALKER C, WALKER E. Partial orders on fuzzy truth value algebras[J]. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems,2015,23(2):193-219.

相似文献/References:

[1]朱慧灵,郑馥丹.关于单纯力迫和可数力迫的构造性阐述(英)[J].四川师范大学学报(自然科学版),2017,(01):18.[doi:10.3969/j.issn.1001-8395.2017.01.003]
 ZHU Huiling,ZHENG Fudan.A Constructive Exposition on Simple Forcings and Countable Forcings[J].Journal of SichuanNormal University,2017,(03):18.[doi:10.3969/j.issn.1001-8395.2017.01.003]
[2]刘志强,谭武霜,熊清泉*.二型模糊真值代数性质[J].四川师范大学学报(自然科学版),2018,(04):463.[doi:10.3969/j.issn.1001-8395.2018.04.006]
 LIU Zhiqiang,TAN Wushuang,XIONG Qingquan.Algebraic Properties of Fuzzy Truth Value on Type-2 Fuzzy Sets[J].Journal of SichuanNormal University,2018,(03):463.[doi:10.3969/j.issn.1001-8395.2018.04.006]

备注/Memo

备注/Memo:
收稿日期:2018-11-14 接受日期:2019-03-28 基金项目:四川省科技厅应用基础项目(2016JY0235)和四川省教育厅重点项目(16ZA0053) *通信作者简介:熊清泉(1978-),男,教授,主要从事格上关系方程和二型模糊集等的研究,E-mail:xqq309@msn.com
更新日期/Last Update: 2020-05-05