A degree approach to relationship among fuzzy convex structures, fuzzy closure systems and fuzzy Alexandrov topologies

A degree approach to relationship among fuzzy convex structures, fuzzy closure systems and fuzzy Alexandrov topologies

In this paper, by means of the implication operator → on a completely distributive lattice M, we define the approximate degrees of M-fuzzifying convex structures, M-fuzzifying closure systems and M-fuzzifying Alexandrov topologies to interpret the approximate degrees to which a mapping is an M-fuzzi...

Full description

Bibliographic Details
Main Authors: Wang Lan, Wu Xiu-Yun, Xiu Zhen-Yu
Format: Article
Language:English
Published: De Gruyter 2019-08-01
Series:Open Mathematics
Subjects:
fuzzy topology
fuzzy closure system
fuzzy convex structure
54a40
52a01
Online Access:http://www.degruyter.com/view/j/math.2019.17.issue-1/math-2019-0072/math-2019-0072.xml?format=INT
id doaj-24784cd7dc19484d816147edb6faeef4
record_format Article
spelling doaj-24784cd7dc19484d816147edb6faeef42020-11-25T03:11:51ZengDe GruyterOpen Mathematics2391-54552019-08-0117191392810.1515/math-2019-0072math-2019-0072A degree approach to relationship among fuzzy convex structures, fuzzy closure systems and fuzzy Alexandrov topologiesWang Lan0Wu Xiu-Yun1Xiu Zhen-Yu2School of Mathematical Sciences, Mudanjiang Normal University, Mudanjiang, 157011, ChinaSchool of Science, Hunan Institute of Science and Engineering, Yongzhou, 425100, ChinaCollege of Applied Mathematics, Chengdu University of Information Technology, Chengdu, 610000, ChinaIn this paper, by means of the implication operator → on a completely distributive lattice M, we define the approximate degrees of M-fuzzifying convex structures, M-fuzzifying closure systems and M-fuzzifying Alexandrov topologies to interpret the approximate degrees to which a mapping is an M-fuzzifying convex structure, an M-fuzzifying closure system and an M-fuzzifying Alexandrov topology from a logical aspect. Moreover, we represent some properties of M-fuzzifying convex structures as well as its relations with M-fuzzifying closure systems and M-fuzzifying Alexandrov topologies by inequalities.http://www.degruyter.com/view/j/math.2019.17.issue-1/math-2019-0072/math-2019-0072.xml?format=INTfuzzy topologyfuzzy closure systemfuzzy convex structure54a4052a01
collection DOAJ
language English
format Article
sources DOAJ
author Wang Lan
Wu Xiu-Yun
Xiu Zhen-Yu
spellingShingle Wang Lan
Wu Xiu-Yun
Xiu Zhen-Yu
A degree approach to relationship among fuzzy convex structures, fuzzy closure systems and fuzzy Alexandrov topologies
Open Mathematics
fuzzy topology
fuzzy closure system
fuzzy convex structure
54a40
52a01
author_facet Wang Lan
Wu Xiu-Yun
Xiu Zhen-Yu
author_sort Wang Lan
title A degree approach to relationship among fuzzy convex structures, fuzzy closure systems and fuzzy Alexandrov topologies
title_short A degree approach to relationship among fuzzy convex structures, fuzzy closure systems and fuzzy Alexandrov topologies
title_full A degree approach to relationship among fuzzy convex structures, fuzzy closure systems and fuzzy Alexandrov topologies
title_fullStr A degree approach to relationship among fuzzy convex structures, fuzzy closure systems and fuzzy Alexandrov topologies
title_full_unstemmed A degree approach to relationship among fuzzy convex structures, fuzzy closure systems and fuzzy Alexandrov topologies
title_sort degree approach to relationship among fuzzy convex structures, fuzzy closure systems and fuzzy alexandrov topologies
publisher De Gruyter
series Open Mathematics
issn 2391-5455
publishDate 2019-08-01
description In this paper, by means of the implication operator → on a completely distributive lattice M, we define the approximate degrees of M-fuzzifying convex structures, M-fuzzifying closure systems and M-fuzzifying Alexandrov topologies to interpret the approximate degrees to which a mapping is an M-fuzzifying convex structure, an M-fuzzifying closure system and an M-fuzzifying Alexandrov topology from a logical aspect. Moreover, we represent some properties of M-fuzzifying convex structures as well as its relations with M-fuzzifying closure systems and M-fuzzifying Alexandrov topologies by inequalities.
topic fuzzy topology
fuzzy closure system
fuzzy convex structure
54a40
52a01
url http://www.degruyter.com/view/j/math.2019.17.issue-1/math-2019-0072/math-2019-0072.xml?format=INT
work_keys_str_mv AT wanglan adegreeapproachtorelationshipamongfuzzyconvexstructuresfuzzyclosuresystemsandfuzzyalexandrovtopologies
AT wuxiuyun adegreeapproachtorelationshipamongfuzzyconvexstructuresfuzzyclosuresystemsandfuzzyalexandrovtopologies
AT xiuzhenyu adegreeapproachtorelationshipamongfuzzyconvexstructuresfuzzyclosuresystemsandfuzzyalexandrovtopologies
AT wanglan degreeapproachtorelationshipamongfuzzyconvexstructuresfuzzyclosuresystemsandfuzzyalexandrovtopologies
AT wuxiuyun degreeapproachtorelationshipamongfuzzyconvexstructuresfuzzyclosuresystemsandfuzzyalexandrovtopologies
AT xiuzhenyu degreeapproachtorelationshipamongfuzzyconvexstructuresfuzzyclosuresystemsandfuzzyalexandrovtopologies
_version_ 1724652590053982208

Similar Items