Degrees of (L, M)-fuzzy convexities

被引：7

作者：

Zhong, Yu ^{[1
]}

Shi, Fu-Gui ^{[2
]}

Zou, Jie-Tao ^{[1
]}

Zou, Chu-Yi ^{[3
]}

机构：

[1] North China Univ Technol, Coll Sci, Beijing 100144, Peoples R China

[2] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China

[3] Second Middle Sch Fengcheng, Nanchang, Jiangxi, Peoples R China

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2019年 / 36卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Convex structure; convexity-preserving mapping; convex-to-convex mapping; (L; M)-fuzzy convex space; M)-fuzzy convexity degree; SPACES; CATEGORY; AXIOMS;

D O I：

10.3233/JIFS-18659

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, we introduce the degree to which a mapping C : L-X -> M is an (L, M)-fuzzy convexity. When (X, C-X) and (Y, C-Y) are (L, M)-fuzzy convex spaces to some extent, the degrees to which a mapping f : X -> Y is convexity-preserving or convex-to-convex are defined. Finally, the degree to which a surjective mapping f : X -> Y is a quotient mapping is also defined. We not only give their characterizations but also discuss the relationships among them.

引用

页码：6619 / 6629

页数：11

共 50 条

[1] Degrees of (L, M)-fuzzy bornologies
Cetkin, Vildan
OPEN MATHEMATICS, 2024, 22 (01):
[2] CHARACTERIZATIONS OF (L, M)-FUZZY TOPOLOGY DEGREES
Zhong, Y.
Shi, F. G.
IRANIAN JOURNAL OF FUZZY SYSTEMS, 2018, 15 (04): : 129 - 149
[3] New degrees for functions in (L, M)-fuzzy topological spaces based on (L, M)-fuzzy semiopen and (L, M)-fuzzy preopen operators
Ghareeb, A.
Al-Omeri, Wadei F.
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2019, 36 (01) : 787 - 803
[4] Connectedness degrees in ( L, M)-fuzzy convex structures
Xie, Tian-Tian
Wang, Rui-Ying
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2024, 46 (01) : 2865 - 2876
[5] Degrees of M-fuzzy families of independent L-fuzzy sets
Zhang, S. Y.
Li, S. G.
IRANIAN JOURNAL OF FUZZY SYSTEMS, 2020, 17 (01): : 53 - 64
[6] Degrees of compactness in (L, M)-fuzzy convergence spaces and its applications
Pang, Bin
Shi, Fu-Gui
FUZZY SETS AND SYSTEMS, 2014, 251 : 1 - 22
[7] Fuzzy Convexities via Overlap Functions
Pang, Bin
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2023, 31 (04) : 1071 - 1082
[8] Coreflectivities of (L, M)-fuzzy convex structures and (L, M)-fuzzy cotopologies in (L, M)-fuzzy closure systems
Wang, Lan
Pang, Bin
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2019, 37 (03) : 3751 - 3761
[9] Degrees of fuzzy compactness in L-fuzzy topological spaces
Li, Hong-Yan
Shi, Fu-Gui
FUZZY SETS AND SYSTEMS, 2010, 161 (07) : 988 - 1001
[10] Idempotent measures: Monads, convexities and a fuzzy integral
Radul, Taras
FUZZY SETS AND SYSTEMS, 2024, 495

← 1 2 3 4 5 →