Multiple Attribute Decision Making Algorithm via Picture Fuzzy Nano Topological Spaces

Picture fuzzy nano topological spaces is an extension of intuitionistic fuzzy nano topological spaces. Every decision in life ends with an answer such as yes or no, or true or false, but we have an another component called abstain, which we have not yet considered. This work is a gateway to study su...

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Bibliographic Details
Published in:Symmetry (Basel) 2021-01, Vol.13 (1), p.69
Main Authors: Alshammari, Ibtesam, Mani, Parimala, Ozel, Cenap, Garg, Harish
Format: Article
Language:English
Subjects:
picture fuzzy interior and closure
picture fuzzy nano topological spaces
picture fuzzy nano-closed sets
picture fuzzy topology
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Summary:Picture fuzzy nano topological spaces is an extension of intuitionistic fuzzy nano topological spaces. Every decision in life ends with an answer such as yes or no, or true or false, but we have an another component called abstain, which we have not yet considered. This work is a gateway to study such a problem. This paper motivates an enquiry of the third component—abstain—in practical problems. The aim of this paper is to investigate the contemporary notion of picture fuzzy nano topological spaces and explore some of its properties. The stated properties are quantified with numerical data. Furthermore, an algorithm for Multiple Attribute Decision-Making (MADM) with an application regarding the file selection of building material under uncertainty by using picture fuzzy nano topological spaces is developed. As a practical problem, a comparison table is presented to show the difference between the novel concept and the existing methods.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym13010069