Normal spaces associated with fuzzy nano M-open sets and its application

被引：3

作者：

Kalaiyarasan, V. ^{[1
]}

Tamilselvan, S. ^{[2
]}

Vadivel, A. ^{[3
,4
]}

Sundar, C. John ^{[4
]}

机构：

[1] Jaya Engn Coll, Dept Math, Tiruvallur 602024, Tamil Nadu, India

[2] Annamalai Univ, Math Sect FEAT, Annamalai Nagar, Chennai 608002, Tamil Nadu, India

[3] Govt Arts Coll Autonomous, PG & Res Dept Math, Karur 639005, India

[4] Annamalai Univ, Dept Math, Annamalai Nagar, Chennai 608002, Tamil Nadu, India

来源：

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2023年 / 29卷 / 02期

关键词：

Fuzzy nano open set; fuzzy nano M -open set; fuzzy nano M -closed set; fuzzy nano M normal space; strongly fuzzy; nano M normal space; fuzzy score function;

D O I：

10.22436/jmcs.029.02.05

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce some new spaces called fuzzy nano M normal spaces and strongly fuzzy nano M normal spaces with the help of fuzzy nano M open sets in fuzzy nano topological space. Also, find their relations among themselves and with already existing spaces. Also, we study some basic properties and the characterizations of these normal spaces. The stated properties are quantified with numerical data. Furthermore, an algorithm for Multiple Attribute Decision-Making (MADM) with an application regarding candidates choose their works by using fuzzy nano topological spaces is developed.

引用

页码：156 / 166

页数：11

共 33 条

[1] Pythagorean Nanogeneralized Closed Sets with Application in Decision-Making [J].

Ajay, D. ;

Charisma, J. Joseline ;

Petaratip, T. ;

Hammachukiattikul, P. ;

Boonsatit, N. ;

Younis, Jihad A. ;

Rajchakit, G. .

JOURNAL OF FUNCTION SPACES, 2021, 2021

[2]

Ajay D., 2020, International Journal of Recent Technology and Engineering, V8, P3415

[3] Covering-Based Rough Fuzzy, Intuitionistic Fuzzy and Neutrosophic Nano Topology and Applications [J].

Al Shumrani, Mohammed A. ;

Topal, Selcuk ;

Smarandache, Florentin ;

Ozel, Cenap .

IEEE ACCESS, 2019, 7 :172839-172846

[4] Multiple Attribute Decision Making Algorithm via Picture Fuzzy Nano Topological Spaces [J].

Alshammari, Ibtesam ;

Mani, Parimala ;

Ozel, Cenap ;

Garg, Harish .

SYMMETRY-BASEL, 2021, 13 (01) :1-12

[5]

Broumi S, 2014, ITAL J PURE APPL MAT, P493

[6] FUZZY TOPOLOGICAL SPACES [J].

CHANG, CL .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1968, 24 (01) :182-&

[7]

Chinnadurai V., 2020, NEUTROSOPHIC SETS SY, V31, P224

[8]

Chinnadurai V., 2020, NEUTROSOPHIC SETS SY, V38, P67

[9]

El-Maghrabi AI., 2011, Pioneer J Math Math Sci, V4, P213

[10] Generalized fuzzy rough approximation operators based on fuzzy coverings [J].

Li, Tong-Jun ;

Leung, Yee ;

Zhang, Wen-Xiu .

INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2008, 48 (03) :836-856

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