数学季刊 ›› 2020, Vol. 35 ›› Issue (4): 370-387.doi: 10.13371/j.cnki.chin.q.j.m.2020.04.005
收稿日期:2020-07-30
出版日期:2020-12-30
发布日期:2021-01-06
作者简介:BAI Yu-juan(1979-), female, native of Qingyang, Gansu, lecturer, master’s degree, engages in fuzzy analysis and its application; LIU Kun(1978-), male, native of Qingyang, Gansu, assistant professor, doctorate, engages in fuzzy matrix and its application; ZHANG Chen(1983-), female, native of Qingyang, Gansu, lecturer, master’s degree, engages in fuzzy graph theory.
基金资助:Supported by Natural Science Foundation of Gansu Province of China (Grant No. 18JR3RM238);
Research Foundation of Higher Education of Gansu Province of China (Grant No. 2018A-101);
Innovation Ability promotion Project of Higher Education of Gansu Province of China (Grant No. 2019A-117).
Received:2020-07-30
Online:2020-12-30
Published:2021-01-06
About author:BAI Yu-juan(1979-), female, native of Qingyang, Gansu, lecturer, master’s degree, engages in fuzzy analysis and its application; LIU Kun(1978-), male, native of Qingyang, Gansu, assistant professor, doctorate, engages in fuzzy matrix and its application; ZHANG Chen(1983-), female, native of Qingyang, Gansu, lecturer, master’s degree, engages in fuzzy graph theory.
Supported by:Supported by Natural Science Foundation of Gansu Province of China (Grant No. 18JR3RM238);
Research Foundation of Higher Education of Gansu Province of China (Grant No. 2018A-101);
Innovation Ability promotion Project of Higher Education of Gansu Province of China (Grant No. 2019A-117).摘要： Based on the ordering of fuzzy numbers proposed by Goetschel and Voxman, the representations and some properties of strongly preinvex fuzzy-valued function are defined and obtained, several new concepts of strongly monotonicities fuzzy functions are introduced, the relationship among the strongly preinvex, strongly invex and monotonicities under some suitable and appropriate conditions is established and a necessary condition for strongly pseudoinvex functions is given. As an application, the conditions of local optimal solution and global optimal solution in the mathematical programming problem are discussed.
中图分类号:
白玉娟, 刘坤, 张琛. 模糊数值函数的强广义凸性及其在模糊优化中的应用[J]. 数学季刊, 2020, 35(4): 370-387.
BAI Yu-juan, LIU Kun, ZHANG Chen. Strongly Generalized Convex Fuzzy-Valued Function and Its Application in Fuzzy Optimization[J]. Chinese Quarterly Journal of Mathematics, 2020, 35(4): 370-387.
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