Some New Characterizations of Open and Closed Fuzzy Mappings Inspired by Induced Mappings

被引：0

作者：

Kaur, Sandeep ^{[1
]}

Birkea, Fathea M. Osman ^{[2
]}

Ozkan, Alkan ^{[3
]}

Al-shami, Tareq M. ^{[4
,5
]}

Omran, M. ^{[6
]}

机构：

[1] Cent Univ Punjab, Dept Math & Stat, Bathinda, India

[2] Northern Border Univ, Fac Sci, Dept Math, Ar Ar, Saudi Arabia

[3] Igdir Univ, Fac Arts & Sci, Dept Math, Igdir, Turkiye

[4] Sanaa Univ, Dept Math, POB 1247, Sanaa, Yemen

[5] Jadara Univ, Jadara Univ Res Ctr, Irbid, Jordan

[6] Tanta Univ, Dept Phys & Engn Math, Fac Engn, Tanta, Egypt

来源：

EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2025年 / 18卷 / 01期

关键词：

Fuzzy set; Fuzzy topological space; Open fuzzy mapping; Closed fuzzy mapping; Induced mapping; SETS;

D O I：

10.29020/nybg.ejpam.v18i1.5848

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we use the induced mappings to obtain some new characterizations of open fuzzy mappings in connection with closures and closed fuzzy mappings in connection with interiors of fuzzy sets. We also investigate another representation of open fuzzy and closed fuzzy mappings under surjective mappings. Furthermore, we prove that images of saturated fuzzy sets under surjective open fuzzy and closed fuzzy mappings are closed fuzzy and open fuzzy sets, respectively. We furnish illustrative examples to elucidate the displayed results.

引用

页数：11

共 30 条

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