Fuzzy Nano z-locally Closed Sets, Extremally Disconnected Spaces, Normal Spaces, and Their Application

Author:

Thangammal R.1ORCID,Saraswathi M.2ORCID,Vadivel A.3ORCID,Noeiaghdam Samad45ORCID,Sundar C. John6ORCID,Govindan V.7ORCID,Iampan Aiyared8ORCID

Affiliation:

1. Department of Mathematics, Selvamm College of Technology, Namakkal - 637 003, India

2. Department of Mathematics, Kandaswami Kandar’s College P-Velur, Tamil Nadu-638 182, India

3. PG and Research Department of Mathematics, Government Arts College (Autonomous), India and Department of Mathematics, Annamalai University, Karur - 639 005, India

4. Industrial Mathematics Laboratory, Baikal School of BRICS, Irkutsk National Research Technical University, Irkutsk, 664074, Russia

5. Department of Applied Mathematics and Programming, South Ural State University, Lenin prospect 76, Chelyabinsk, 454080, Russia

6. Department of Business Administration, Selvamm Arts and Science College (Autonomous), Namakkal-637 003, India

7. Department of Mathematics, Dmi St John The Baptist University, Mangochi, Malawi

8. Department of Mathematics, School of Science, University of Phayao, Phayao 56000, Thailand

Abstract

In this paper, we introduce fuzzy nano (resp. δ, δS, P and Z) locally closed set and fuzzy nano (resp. δ, δS, P and Z) extremally disconnected spaces in fuzzy nano topological spaces. Also, we introduce some new spaces called fuzzy nano (resp. δ, δS, P and Z) normal spaces and strongly fuzzy nano (resp. δ, δS, P and Z) normal spaces with the help of fuzzy nano (resp. δ, δS, P and Z)-open sets in fuzzy nano topological space. Numerical data is used to quantify the provided features. Furthermore, using fuzzy nano topological spaces, an algorithm for multiple attribute decision-making (MADM) with an application in medical diagnosis is devised.

Publisher

Hindawi Limited

Subject

Computational Mathematics,Control and Optimization,Control and Systems Engineering

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

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