[1]白玉娟,张 琛,张丽丽.n维模糊映射的s-预不变凸性及其优化[J].四川师范大学学报(自然科学版),2019,(01):98.[doi:10.3969/j.issn.1001-8395.2019.01.015]
 BAI Yujuan,ZHANG Chen,ZHANG Lili.n-dimensional s-preinvex Fuzzy-number-valued Functions and Its Optimization[J].Journal of SichuanNormal University,2019,(01):98.[doi:10.3969/j.issn.1001-8395.2019.01.015]
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n维模糊映射的s-预不变凸性及其优化()
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《四川师范大学学报(自然科学版)》[ISSN:1001-8395/CN:51-1295/N]

卷:
期数:
2019年01期
页码:
98
栏目:
基础理论
出版日期:
2018-12-15

文章信息/Info

Title:
n-dimensional s-preinvex Fuzzy-number-valued Functions and Its Optimization
文章编号:
1001-8395(2019)01-0098-06
作者:
白玉娟 张 琛 张丽丽
陇东学院 数学与统计学院, 甘肃 庆阳 745000
Author(s):
BAI Yujuan ZHANG Chen ZHANG Lili
School of Mathematics and Statistics, Longdong University, Qingyang 745000, Gansu
关键词:
模糊数 模糊数值函数 预不变凸性
Keywords:
fuzzy number fuzzy-number-valued functions preinvexity
分类号:
O159
DOI:
10.3969/j.issn.1001-8395.2019.01.015
文献标志码:
A
摘要:
首先提出n维模糊数值函数的s-不变凸、严格s-不变凸、s-预不变凸和半严格s-预不变凸的概念,其次利用n维模糊数值函数依支撑函数的可微性与梯度讨论以上广义凸性的关系,最后建立模糊优化问题(FMP)的最优化条件.
Abstract:
Firstly, the concepts of s-invexity, strict s-invexity, s-preinvexity and semi-stric s-preinvexity of n-preinvexity of mensional fuzzy-number-valued functions are presented. Secondly, the relationships of these generalized convexity are characterized by the differentiability and gradient of support function. Lastly, optimization problems with differentiable fuzzy-number-valued functions are described.

参考文献/References:

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[2] GONG Z T, HAI S X. Convexity of n-dimensional fuzzy-number-valued functions and its applications[J]. Fuzzy Sets and Systems,2016,295(1):19-36.
[3] 吴从炘,马明,方锦喧. 模糊分析学的结构理论[M]. 贵阳:贵州科技出版社,1994.
[4] NEGOITA C V, RALESCU D A. Application of Fuzzy Sets to System Analysis[M]. New York:Wiley,1975.
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[8] 杨新民,戎卫东. 广义凸性及其应用[M]. 北京:科学出版社,2015.
[9] HAI S X, GONG Z T, LI H X. Generalized differentiaility for n-dimensional fuzzy-number-valued functions and fuzzy optimization[J]. Information Sciences,2016,374:151-163.
[10] ZHANG B K. On measurability of fuzzy-number-valued functions[J]. Fuzzy Sets and Systems,2001,120(3):505-509.

相似文献/References:

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 JIA Feng ling,HE Wan sheng,GONG Zeng tai.The Characterization of the Primitives for Fuzzy Strong Henstock Integrable Functions[J].Journal of SichuanNormal University,2012,(01):82.
[2]王莉.模糊数值测度的正则性[J].四川师范大学学报(自然科学版),2002,(02):164.
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备注/Memo

备注/Memo:
收稿日期:2018-06-21 接受日期:2018-08-30
基金项目:甘肃省高等学校科研项目(2018A-101)
第一作者简介:白玉娟(1979—),女,讲师,主要从事模糊分析学及其应用的研究,E-mail:691816010@qq.com
更新日期/Last Update: 2018-12-15