A new approach to the fuzzification of arity, JHC and CUP of L-convexities

被引：15

作者：

Chen, Fan-Hong ^{[1
,2
,3
]}

Shen, Chong ^{[1
,2
]}

Shi, Fu-Gui ^{[1
,2
]}

机构：

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

[2] Beijing Inst Technol, Beijing Key Lab MCAACI, Beijing, Peoples R China

[3] Yanching Inst Technol, Sch Mech Engn, Sanhe, Hebei, Peoples R China

来源：

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2018年 / 34卷 / 01期

基金：

中国国家自然科学基金;

关键词：

L-convexity; arity; join-hull commutativity; corn-union property; CP mapping; CC mapping; SPACES; (L;

D O I：

10.3233/JIFS-171142

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, the notions of arity, Corn-union property (CUP), Join-hull commutativity (JHC) and weakly Join-hull commutativity (weakly JHC) are generalized to the fuzzy case. Also, it is proved that Corn-union property, Join-hull commutativity and weakly Join-hull commutativity L-convexities are of arity <= 2. Moreover, the CP and CC mappings between L-convexities with arity property are characterized.

引用

页码：221 / 231

页数：11

共 46 条

[1]

Adamek J., 1990, ABSTRACT CONCRETE CA

[2]

[Anonymous], POWERSET OPERATOR FD

[3]

[Anonymous], 1999, MATH FUZZY SETS LOGI

[4]

[Anonymous], 2001, Introduction to lattices and order

[5]

[Anonymous], 2010, Matroid theory

[6] Fuzzy closure operators [J].

Belohlávek, R .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 262 (02) :473-489

[7] ON LOCAL CONVEXITY IN GRAPHS [J].

FARBER, M ;

JAMISON, RE .

DISCRETE MATHEMATICS, 1987, 66 (03) :231-247

[8] CONVEXITY IN GRAPHS AND HYPERGRAPHS [J].

FARBER, M ;

JAMISON, RE .

SIAM JOURNAL ON ALGEBRAIC AND DISCRETE METHODS, 1986, 7 (03) :433-444

[9] SOME RESULTS ON ORDER-CONVEXITY [J].

FRANKLIN, SP .

AMERICAN MATHEMATICAL MONTHLY, 1962, 69 (05) :357-&

[10]

Gierz G., 2003, Continuous Lattices and Domains

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